CN110435623B - Automatic hierarchical automatic emergency braking control system of electric motor car of adjustment - Google Patents

Automatic hierarchical automatic emergency braking control system of electric motor car of adjustment Download PDF

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CN110435623B
CN110435623B CN201910801636.9A CN201910801636A CN110435623B CN 110435623 B CN110435623 B CN 110435623B CN 201910801636 A CN201910801636 A CN 201910801636A CN 110435623 B CN110435623 B CN 110435623B
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braking
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CN110435623A (en
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赵健
宋东鉴
朱冰
赵文博
孙卓
王春迪
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Jilin University
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60LPROPULSION OF ELECTRICALLY-PROPELLED VEHICLES; SUPPLYING ELECTRIC POWER FOR AUXILIARY EQUIPMENT OF ELECTRICALLY-PROPELLED VEHICLES; ELECTRODYNAMIC BRAKE SYSTEMS FOR VEHICLES IN GENERAL; MAGNETIC SUSPENSION OR LEVITATION FOR VEHICLES; MONITORING OPERATING VARIABLES OF ELECTRICALLY-PROPELLED VEHICLES; ELECTRIC SAFETY DEVICES FOR ELECTRICALLY-PROPELLED VEHICLES
    • B60L7/00Electrodynamic brake systems for vehicles in general
    • B60L7/10Dynamic electric regenerative braking
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60TVEHICLE BRAKE CONTROL SYSTEMS OR PARTS THEREOF; BRAKE CONTROL SYSTEMS OR PARTS THEREOF, IN GENERAL; ARRANGEMENT OF BRAKING ELEMENTS ON VEHICLES IN GENERAL; PORTABLE DEVICES FOR PREVENTING UNWANTED MOVEMENT OF VEHICLES; VEHICLE MODIFICATIONS TO FACILITATE COOLING OF BRAKES
    • B60T13/00Transmitting braking action from initiating means to ultimate brake actuator with power assistance or drive; Brake systems incorporating such transmitting means, e.g. air-pressure brake systems
    • B60T13/74Transmitting braking action from initiating means to ultimate brake actuator with power assistance or drive; Brake systems incorporating such transmitting means, e.g. air-pressure brake systems with electrical assistance or drive
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60WCONJOINT CONTROL OF VEHICLE SUB-UNITS OF DIFFERENT TYPE OR DIFFERENT FUNCTION; CONTROL SYSTEMS SPECIALLY ADAPTED FOR HYBRID VEHICLES; ROAD VEHICLE DRIVE CONTROL SYSTEMS FOR PURPOSES NOT RELATED TO THE CONTROL OF A PARTICULAR SUB-UNIT
    • B60W30/00Purposes of road vehicle drive control systems not related to the control of a particular sub-unit, e.g. of systems using conjoint control of vehicle sub-units, or advanced driver assistance systems for ensuring comfort, stability and safety or drive control systems for propelling or retarding the vehicle
    • B60W30/02Control of vehicle driving stability
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60WCONJOINT CONTROL OF VEHICLE SUB-UNITS OF DIFFERENT TYPE OR DIFFERENT FUNCTION; CONTROL SYSTEMS SPECIALLY ADAPTED FOR HYBRID VEHICLES; ROAD VEHICLE DRIVE CONTROL SYSTEMS FOR PURPOSES NOT RELATED TO THE CONTROL OF A PARTICULAR SUB-UNIT
    • B60W30/00Purposes of road vehicle drive control systems not related to the control of a particular sub-unit, e.g. of systems using conjoint control of vehicle sub-units, or advanced driver assistance systems for ensuring comfort, stability and safety or drive control systems for propelling or retarding the vehicle
    • B60W30/08Active safety systems predicting or avoiding probable or impending collision or attempting to minimise its consequences
    • B60W30/09Taking automatic action to avoid collision, e.g. braking and steering
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60WCONJOINT CONTROL OF VEHICLE SUB-UNITS OF DIFFERENT TYPE OR DIFFERENT FUNCTION; CONTROL SYSTEMS SPECIALLY ADAPTED FOR HYBRID VEHICLES; ROAD VEHICLE DRIVE CONTROL SYSTEMS FOR PURPOSES NOT RELATED TO THE CONTROL OF A PARTICULAR SUB-UNIT
    • B60W40/00Estimation or calculation of non-directly measurable driving parameters for road vehicle drive control systems not related to the control of a particular sub unit, e.g. by using mathematical models
    • B60W40/02Estimation or calculation of non-directly measurable driving parameters for road vehicle drive control systems not related to the control of a particular sub unit, e.g. by using mathematical models related to ambient conditions
    • B60W40/06Road conditions
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60WCONJOINT CONTROL OF VEHICLE SUB-UNITS OF DIFFERENT TYPE OR DIFFERENT FUNCTION; CONTROL SYSTEMS SPECIALLY ADAPTED FOR HYBRID VEHICLES; ROAD VEHICLE DRIVE CONTROL SYSTEMS FOR PURPOSES NOT RELATED TO THE CONTROL OF A PARTICULAR SUB-UNIT
    • B60W40/00Estimation or calculation of non-directly measurable driving parameters for road vehicle drive control systems not related to the control of a particular sub unit, e.g. by using mathematical models
    • B60W40/02Estimation or calculation of non-directly measurable driving parameters for road vehicle drive control systems not related to the control of a particular sub unit, e.g. by using mathematical models related to ambient conditions
    • B60W40/06Road conditions
    • B60W40/064Degree of grip
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60WCONJOINT CONTROL OF VEHICLE SUB-UNITS OF DIFFERENT TYPE OR DIFFERENT FUNCTION; CONTROL SYSTEMS SPECIALLY ADAPTED FOR HYBRID VEHICLES; ROAD VEHICLE DRIVE CONTROL SYSTEMS FOR PURPOSES NOT RELATED TO THE CONTROL OF A PARTICULAR SUB-UNIT
    • B60W40/00Estimation or calculation of non-directly measurable driving parameters for road vehicle drive control systems not related to the control of a particular sub unit, e.g. by using mathematical models
    • B60W40/02Estimation or calculation of non-directly measurable driving parameters for road vehicle drive control systems not related to the control of a particular sub unit, e.g. by using mathematical models related to ambient conditions
    • B60W40/06Road conditions
    • B60W40/076Slope angle of the road
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60WCONJOINT CONTROL OF VEHICLE SUB-UNITS OF DIFFERENT TYPE OR DIFFERENT FUNCTION; CONTROL SYSTEMS SPECIALLY ADAPTED FOR HYBRID VEHICLES; ROAD VEHICLE DRIVE CONTROL SYSTEMS FOR PURPOSES NOT RELATED TO THE CONTROL OF A PARTICULAR SUB-UNIT
    • B60W50/00Details of control systems for road vehicle drive control not related to the control of a particular sub-unit, e.g. process diagnostic or vehicle driver interfaces
    • B60W50/08Interaction between the driver and the control system
    • B60W50/14Means for informing the driver, warning the driver or prompting a driver intervention
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60WCONJOINT CONTROL OF VEHICLE SUB-UNITS OF DIFFERENT TYPE OR DIFFERENT FUNCTION; CONTROL SYSTEMS SPECIALLY ADAPTED FOR HYBRID VEHICLES; ROAD VEHICLE DRIVE CONTROL SYSTEMS FOR PURPOSES NOT RELATED TO THE CONTROL OF A PARTICULAR SUB-UNIT
    • B60W50/00Details of control systems for road vehicle drive control not related to the control of a particular sub-unit, e.g. process diagnostic or vehicle driver interfaces
    • B60W50/08Interaction between the driver and the control system
    • B60W50/14Means for informing the driver, warning the driver or prompting a driver intervention
    • B60W2050/143Alarm means

Abstract

The invention relates to an automatic-adjusting classification automatic emergency braking control system for an electric vehicle. The method comprises the following steps: the system comprises vehicle-mounted distance measurement and speed measurement sensing equipment, a grading early warning control system, a safe distance calculation model, a vehicle inverse longitudinal dynamics calculation model, a hydraulic braking force and regenerative braking force distribution calculation module, a hydraulic braking system inverse model, an ESC and Booster active pressurization hydraulic pressure distribution module and a road surface information estimation model, improves the comfort when an AEB system is triggered, reduces the potential safety hazards of rear-end collision and the like caused by sudden and large deceleration of a vehicle, estimates the gradient, the adhesion coefficient and other information of the current driving road and the front road of the vehicle, controls the online adjustment of parameters, enhances the adaptation degree of the AEB system to different road surface conditions, fully recovers the braking energy, improves the endurance mileage, and fully exerts the advantages of an ESC and an electronic mechanical brake Booster of a vehicle body stability control system on active pressurization.

Description

Automatic hierarchical automatic emergency braking control system of electric motor car of adjustment
Technical Field
The invention relates to an automatic emergency braking control system of an electric vehicle, in particular to an automatic-adjusting classification automatic emergency braking control system of the electric vehicle.
Background
In recent years, with the continuous development of global automobile technology, the automobile holding amount is increased, and the vehicle traffic accidents are increased. In order to reduce the number of road traffic accidents, various automobile active safety technologies and passive safety technologies have been rapidly developed. As an important active safety technology for automobiles, an Automatic emergency brake System (AEB) can effectively avoid a large number of traffic accidents, and has gradually become a vehicle standard.
The AEB system mainly comprises an information acquisition and control system and an execution mechanism. The information acquisition mainly comprises the steps of monitoring the surrounding environment in real time through sensors such as radars and the like, and transmitting target object information to a control system. After receiving the target object information, the control system decides information such as expected deceleration through a control strategy according to the motion state of the vehicle and sends the information to an execution mechanism. The executing mechanism carries out corresponding operation on the command of the control system through the electronic throttle valve and the brake, thereby achieving the effects of avoiding collision or lightening collision.
However, there are some problems with current AEB systems, such as:
1. the existing vehicle-mounted AEB system control algorithm is in consideration of safety, and generally chooses to directly brake the vehicle at the maximum braking deceleration when the AEB is required to intervene, so that the comfort of the members is seriously influenced, and the danger of rear-end collision and the like of the vehicle in emergency braking at high speed is easy to occur.
2. The AEB system control algorithm does not comprise a function of identifying road surface information, and only structural parameters of a vehicle and kinematic parameters of the vehicle are considered in the design of the algorithm, so that the influence of different roads on the implementation effect of the AEB algorithm is considered.
3. The AEB system control algorithm does not have adaptivity to changes in road conditions, for example, when a vehicle runs on a road with a low adhesion coefficient, the maximum braking deceleration of the vehicle may not reach the preset value of the AEB system due to the decrease of the adhesion coefficient, thereby causing collision; when a vehicle runs on a road with a certain gradient, the actual braking force of the vehicle can be changed due to the resistance of the gradient, and if the AEB algorithm is not adjusted according to the gradient of the road surface, the vehicle which goes up the slope can be decelerated too early to bring distrust to a driver or the vehicle which goes down the slope can be decelerated insufficiently to cause collision.
4. For an electric vehicle carrying a partially decoupled or non-decoupled electric power-assisted brake system, when the AEB system is triggered and starts to apply a braking force to the vehicle, the brake pedal will automatically move under the drive of the power-assisted motor due to the mechanical connection between the brake pedal of the driver and the brake master cylinder, on one hand, discomfort and confusion of the driver can be caused, and on the other hand, when the driver wants to autonomously apply a larger braking force to the vehicle due to the fact that the brake pedal is not at the initial position, the time for the foot of the driver to move to the brake pedal is longer than usual, and the time difference can cause the driver to hesitate or operate mistakenly, so that the braking force is applied insufficiently and danger occurs.
Disclosure of Invention
In order to solve the technical problems, the invention provides an electric vehicle grading automatic emergency braking control system based on road information automatic identification and control parameter online adjustment for an electric vehicle carrying a non-decoupling or partially decoupling electric power-assisted braking system.
The invention relates to an automatic-adjustment electric vehicle classification automatic emergency braking control system, which comprises: the system comprises vehicle-mounted distance and speed measuring sensing equipment, a graded early warning control system, a safe distance calculation model, a vehicle inverse longitudinal dynamics calculation model, a hydraulic braking force and regenerative braking force distribution calculation module, a hydraulic braking system inverse model, an ESC and Booster active pressurization hydraulic pressure distribution module and a road surface information estimation model, wherein the control method of the system comprises the following steps:
(1) in the running process of the vehicle, the vehicle-mounted distance and speed measuring sensing equipment transmits the real-time distance S between the vehicle and a dangerous target to the grading early warning control system, and transmits the motion state information such as the speed, the acceleration and the like of the dangerous target vehicle to the safe distance calculation model; the road surface information estimation model transmits the minimum road surface adhesion coefficient mu in the four wheels to a safe distance calculation model, and transmits the road surface gradient of the vehicle to a vehicle inverse longitudinal dynamics calculation model;
(2) the safe distance calculation model divides the braking intensity of the AEB system into a light braking mode and a full braking mode, and determines the target braking deceleration a of the two-stage braking intensity of the AEB system according to the minimum road adhesion coefficient mu in the four wheelsexpAnd according to the dangerous target motion state information and the real-time longitudinal speed v of the vehicle measured by the vehicle speed sensor0Determining three control signal trigger thresholds for the AEB system: sensory warning safety distance threshold SwSafety distance threshold S for light brakingdSafety distance threshold S for full force brakingb
(3) The grading early warning control system compares the real-time distance S between the vehicle and the dangerous target with early warning threshold values S at all levelsw、Sd、SbIs compared, and whether the driver has active deceleration operation or not is combined, and the AEB early warning control signal, namely the target longitudinal deceleration a of the vehicle is analyzed and generatedexp: if S > SwIf the distance between the vehicle and the front vehicle is within the safe range, the system judges that the vehicle and the front vehicle are not actuated; if Sw<S<SdIf the driver is in the deceleration state, the system can perform visual touch early warning on the driver to remind the driver to perform deceleration operation; if Sb<S<SdAnd judging that the driver does not perform deceleration operation at the moment according to the signal of the brake pedal stroke sensor, controlling the vehicle to perform mild braking by the system, decelerating the vehicle and performing sensory warning on the driver, wherein the target longitudinal deceleration a is at the momentexpFor light braking deceleration a1maxThe mild braking deceleration a can effectively decelerate the vehicle and provide the driver with a tactile early warning, and simultaneously ensure that the comfort of passengers is not greatly influenced1maxIt is preferably 0.25. mu.g to 0.35. mu.g; if the driver has deceleration operation at the moment, the AEB system can carry out sensory early warning on the driver until the driver keeps the distance between the vehicles at the safe distanceSeparating; if S is less than SbThe system can control the vehicle to carry out full-force braking so that the vehicle is in the preset minimum safe vehicle distance range S at the fastest speed0Internal stop or reaching the same speed as the dangerous target, minimum safe vehicle distance range S02-3 m, at which the target longitudinal deceleration aexpFor full-force braking deceleration a2maxWhen full-force braking is triggered, full-force braking deceleration a is used to quickly decelerate the vehicle and prevent the wheels from locking up2maxIt is preferably 0.75. mu.g to 0.85. mu.g;
(4) target longitudinal deceleration aexpThe target braking force F required to be provided by the vehicle braking system at the moment is finally obtained by transmitting the target braking force F to the vehicle inverse longitudinal dynamics calculation model, calculating the gradient i of the road surface where the vehicle is located by the road surface information estimation model at the same time, transmitting the gradient i to the vehicle inverse longitudinal dynamics calculation model, calculating by the formula (1) when the vehicle ascends the slope and calculating by the formula (2) when the vehicle descends the slope, and finally obtaining the target braking force F required to be provided by the vehicle brakingb
Fb=maexp-Ff-Fw-Gi (1)
Fb=maexp+Gi-Ff-Fw(2)
Where m is the vehicle mass, G is the vehicle gravity, FfTo rolling resistance, FwIs the air resistance;
(5) target braking force FbThe regenerative braking force F which can be provided at the moment is judged by the regenerative braking system according to the speed of the vehicle, the working state of systems such as a vehicle power motor, a storage battery and the like at the momentbrThe hydraulic braking force and regenerative braking force distribution calculation module calculates a target hydraulic braking force F at the timebh=Fb-Fbr
(6) Target hydraulic braking force FbhThe target hydraulic pressure P of each brake wheel cylinder is obtained by the formula (3) after the target hydraulic pressure P is transmitted to the inverse model of the hydraulic brake system for calculationexp
Figure BDA0002182484890000031
Wherein r isr0For wheel rolling radius, [ BEF]fFor the front wheel brake braking efficiency factor, [ BEF]rThe braking efficiency factors of the rear wheel brake are all conventional structural parameters of the vehicle;
(7) target hydraulic pressure P of each brake wheel cylinderexpTransmitting the pressure to an ESC and Booster active pressurization hydraulic pressure distribution module, and judging the active pressurization mode of the hydraulic braking system at the moment: if PexpIn the active pressurization limit range of the ESC system, the ESC system carries out active pressurization control on the pressure build-up of a brake wheel cylinder; if PexpIf the pressure exceeds the active pressure increase limit of the ESC system, the Booster builds pressure in a brake wheel cylinder to carry out active pressure increase control, so that the vehicle is decelerated to a target speed;
the above processes are continuously carried out in the whole triggering process of the AEB system, and the information such as the real-time distance between the vehicle and the dangerous target, the early warning threshold values of all levels, the motion states of the vehicle and the dangerous target and the like is continuously updated and adjusted until the vehicle is decelerated to the target speed or stops and keeps a preset safe distance between the vehicle and the dangerous target.
The invention has the beneficial effects that:
1. by adopting the safe distance calculation model and the grading early warning control system, according to the motion states of the vehicle and the front vehicle, the sensory early warning such as sound sense or vision can be carried out on the driver, the light braking or the full braking can be applied to the vehicle, the comfort when the AEB system is triggered is improved, and the potential safety hazards such as rear-end collision and the like caused by sudden and large deceleration of the vehicle are reduced.
2. By designing a road surface information estimation algorithm, information such as the gradient and the adhesion coefficient of a current running road and a front road of a vehicle is estimated, and sensors such as a camera are used for pre-estimating road surface information of a next stage, so that the practicability of the road surface information estimation algorithm is improved.
3. The method can perform online adjustment of control parameters according to related road information obtained by a road information estimation algorithm, enhance the adaptation degree of the AEB system to different road conditions, enable the AEB system to provide maximized safety performance for vehicles on any road, and simultaneously avoid the situation that the AEB system triggers too early to bring distrust to drivers.
4. For an electric automobile with a regenerative braking function, a regenerative braking system and a hydraulic braking system are coordinated to work, when the AEB system requires lower braking strength, the regenerative braking force and the hydraulic braking force are reasonably distributed, and the regenerative braking force of the automobile is exerted to the maximum extent, so that the braking energy is fully recovered, and the endurance mileage is improved.
5. When the AEB system requires lower braking strength and braking force can be provided by a regenerative braking system and the ESC system, the electronic mechanical brake Booster is not involved in braking, so that a brake pedal does not move autonomously, and the driving safety and comfort are improved; when the AEB system requires that the braking intensity is increased to exceed the sum of the active boosting limit of the ESC system and the maximum braking force which can be provided by the vehicle regenerative braking system at the moment, the vehicle is stopped as soon as possible or decelerated to the ideal speed by the intervention of the electronic mechanical brake Booster with stronger active boosting capacity.
Drawings
FIG. 1 is a schematic diagram of the overall architecture of the present invention;
FIG. 2 is a schematic diagram of a road information estimation model algorithm of the present invention;
FIG. 3 is a logic diagram of a hierarchical early warning control system according to the present invention;
FIG. 4 is a schematic diagram of the ESC and Booster active Booster hydraulic pressure distribution of the present invention;
FIG. 5 is a schematic diagram of a three-degree-of-freedom four-wheel vehicle model in the road adhesion coefficient estimation algorithm of the present invention;
FIG. 6 is a schematic flow chart of filtering estimation in the road adhesion coefficient estimation algorithm of the present invention;
FIG. 7 is a graph of a verification result of the road adhesion coefficient estimation algorithm of the present invention;
FIG. 8 is a schematic diagram illustrating a hierarchical braking process of the vehicle in the safe distance calculation model according to the present invention;
FIG. 9 is a schematic diagram illustrating a full braking process of the vehicle in the safe distance calculation model according to the present invention;
FIG. 10 is a graph of a road surface gradient estimation algorithm verification result based on a closed-loop full-dimensional state observer in the road surface information estimation algorithm of the present invention.
Detailed Description
Referring to fig. 1-10, the present invention provides an automatic-adjusting graded automatic emergency braking control system for electric vehicle, comprising: the system comprises vehicle-mounted distance and speed measuring sensing equipment, a graded early warning control system, a safe distance calculation model, a vehicle inverse longitudinal dynamics calculation model, a hydraulic braking force and regenerative braking force distribution calculation module, a hydraulic braking system inverse model, an ESC and Booster active pressurization hydraulic pressure distribution module and a road surface information estimation model, wherein the control method of the system comprises the following steps:
(1) referring to the attached figure 2, in the driving process of a vehicle, the vehicle-mounted distance and speed measuring sensing equipment transmits the real-time distance S between the vehicle and a dangerous target to a grading early warning control system, and transmits the motion state information such as the speed, the acceleration and the like of the dangerous target vehicle to a safe distance calculation model; the road surface information estimation model transmits the minimum road surface adhesion coefficient mu in the four wheels to a safe distance calculation model, and transmits the road surface gradient of the vehicle to a vehicle inverse longitudinal dynamics calculation model;
(2) the safe distance calculation model divides the braking intensity of the AEB system into a light braking mode and a full braking mode, and determines the target braking deceleration a of the two-stage braking intensity of the AEB system according to the minimum road adhesion coefficient mu in the four wheelsexpAnd according to the dangerous target motion state information and the real-time longitudinal speed v of the vehicle measured by the vehicle speed sensor0Determining three control signal trigger thresholds for the AEB system: sensory warning safety distance threshold SwSafety distance threshold S for light brakingdSafety distance threshold S for full force brakingb
(3) Referring to fig. 3, the hierarchical early warning control system compares the real-time distance S between the vehicle and the dangerous target with early warning thresholds S at different levelsw、Sd、SbIs compared, and whether the driver has active deceleration operation or not is combined, and the AEB early warning control signal, namely the target longitudinal deceleration a of the vehicle is analyzed and generatedexp: if S > SwIf the distance between the vehicle and the front vehicle is within the safe range, the system judges that the vehicle and the front vehicle are not actuated; if Sw<S<SdIf the driver is in the low speed state, the system can carry out sensory early warning on the driver to remind the driver to carry out deceleration operation; if Sb<S<SdAnd judging that the driver does not perform deceleration operation at the moment according to the signal of the brake pedal stroke sensor, controlling the vehicle to perform mild braking by the system, decelerating the vehicle and performing sensory warning on the driver, wherein the target longitudinal deceleration a is at the momentexpFor light braking deceleration a1max(ii) a If the driver has deceleration operation at the moment, the AEB system can carry out sensory early warning on the driver until the driver keeps the distance between the vehicles at a safe distance; if S is less than SbThe system can control the vehicle to carry out full-force braking, so that the vehicle can stop in a preset minimum safe vehicle distance range at the fastest speed or reach the speed same as the dangerous target, wherein the minimum safe vehicle distance range S0The value is 2-3 m, and the target longitudinal deceleration a is carried out at the momentexpFor full-force braking deceleration a2max
(4) The grading early warning control system decelerates the target longitudinally aexpThe vehicle inverse longitudinal dynamics calculation model is based on a vehicle running resistance equation:
F=Ff+Fw+Fi+Fj+Fb
wherein F is the longitudinal drag experienced by the vehicle, FfTo rolling resistance, FwAs air resistance, FiIs the resistance of the slope, FjFor acceleration resistance, FbThe braking force generated by the vehicle braking system.
The vehicle inverse longitudinal dynamics calculation model receives an AEB early warning signal, namely a target longitudinal deceleration, transmitted by the hierarchical early warning control system, and when the hierarchical early warning control system requires to decelerate the vehicle, the driving resistance F in the formula is as follows:
F=maexp
where m is the vehicle mass.
Since the vehicle is subjected to a deceleration operation, the acceleration resistance:
Fj=0
meanwhile, the vehicle inverse longitudinal dynamics calculation model receives the road gradient i calculated by the road information estimation model, and if the vehicle needs to perform emergency braking on a slope, the influence of the gradient on the braking process must be considered:
①, if the vehicle is ascending, the slope resistance provides a part of the deceleration of the vehicle, and the slope resistance:
Fi=Gi
wherein G is the vehicle gravity.
In combination, to obtain the desired longitudinal deceleration a of the vehicleexpThe braking system needs to provide the following braking force:
Fb=maexp-Ff-Fw-Gi (1)
② if the vehicle is moving downhill, the component of the vehicle gravity along the slope will provide the vehicle with an acceleration downward along the slope, and it must be considered that this acceleration is offset by increasing the braking force, and the braking system needs to provide the following braking force:
Fb=maexp+Gi-Ff-Fw(2)
therefore, the vehicle inverse longitudinal dynamics calculation model can calculate the longitudinal deceleration a according to the vehicle target transmitted by the grading early warning control systemexpAnd judging the braking force F which should be provided by the braking system at the moment by combining the road surface gradient i estimated by the road surface information estimation modelbThe AEB system is prevented from being triggered prematurely or the vehicle is braked and stopped prematurely on an uphill road surface, so that the driver is not trusted; the danger of collision caused by insufficient braking due to too late intervention of an AEB system of a vehicle on a downhill road is avoided.
(5) Target braking force FbThe regenerative braking force F which can be provided at the moment is judged by the regenerative braking system according to the speed of the vehicle, the working state of systems such as a vehicle power motor, a storage battery and the like at the momentbrThe hydraulic braking force and regenerative braking force distribution calculation module calculatesTarget hydraulic braking force F at this timebh=Fb-Fbr(ii) a The hydraulic braking force and regenerative braking force distribution calculation module can fully exert the regenerative function braking capability of the electric vehicle to recover the braking energy, and simultaneously meet the braking deceleration requirement of the vehicle.
(6) Target hydraulic braking force FbhAnd (3) transmitting the data to the hydraulic braking system inverse model for calculation, wherein the data is represented by the formula:
Figure BDA0002182484890000081
obtaining the target hydraulic pressure P of each brake wheel cylinderexp
Figure BDA0002182484890000082
Wherein r isr0For wheel rolling radius, [ BEF]fFor the front wheel brake braking efficiency factor, [ BEF]rThe braking efficiency factors of the rear wheel brake are all conventional structural parameters of the vehicle;
(7) referring to fig. 4, target hydraulic pressure P of each brake cylinderexpTransmitting the pressure to an ESC and Booster active pressurization hydraulic pressure distribution module, and judging the active pressurization mode of the hydraulic braking system at the moment: if PexpIn the active pressurization limit range of the ESC system, the ESC system carries out active pressurization control on the pressure build-up of a brake wheel cylinder; if PexpIf the pressure exceeds the active pressure increase limit of the ESC system, the Booster builds pressure in a brake wheel cylinder to carry out active pressure increase control, so that the vehicle is decelerated to a target speed;
the ESC and Booster active pressurization hydraulic pressure distribution module can fully utilize the advantages of an ESC system and the Booster active pressurization: when the braking pressure requirement is not high, an ESC system with relatively low response time and precision can be utilized, the pressure requirement is met, and meanwhile, for a vehicle carrying a non-decoupling braking system, the discomfort brought to a driver by automatic downward movement of a brake pedal caused by boost active pressurization can be avoided, and the potential safety hazard is reduced; when the braking pressure requirement is high, Booster with high response speed, high pressure control precision and high building upper limit is adopted for active braking, and the vehicle can achieve the expected braking deceleration by full force.
The above processes are continuously carried out in the whole triggering process of the AEB system, and the information such as the real-time distance between the vehicle and the dangerous target, the early warning threshold values of all levels, the motion states of the vehicle and the dangerous target and the like is continuously updated and adjusted until the vehicle is decelerated to the target speed or stops and keeps a preset safe distance between the vehicle and the dangerous target.
In the step (1), the method for obtaining the minimum road adhesion coefficient mu by the road adhesion coefficient estimation model based on filtering is as follows:
the Dugoff tire model is first built to obtain normalized tire forces, and represents the longitudinal and lateral forces on the tire as:
Figure BDA0002182484890000091
Figure BDA0002182484890000092
Figure BDA0002182484890000093
Figure BDA0002182484890000094
in the formula FxIs a tire longitudinal force, FyFor lateral forces of the tire, FzIs the tire normal force, λ is the longitudinal slip ratio, CyFor the cornering stiffness of the tyre, CxFor tyre longitudinal rigidity, α is tyre slip angle, mu is road surface adhesion coefficient, epsilon is tyre influence coefficient, which is a parameter related to tyre structure and material and used for correcting the influence of vehicle slip speed on tyre force, L is boundary value and used for describing the non-linear characteristic of tyre force brought by wheel slip, and for designing road surface adhesion coefficient estimation algorithm conveniently, the Dugoff tyre model is simplified into the following normalization formFormula (II):
Figure BDA0002182484890000095
Figure BDA0002182484890000096
in the formula
Figure BDA0002182484890000097
And
Figure BDA0002182484890000098
the normalized tire forces in the longitudinal direction and the lateral direction are respectively independent of the adhesion coefficient mu, so that a coefficient matrix of a system state space expression is conveniently determined in the road adhesion coefficient estimation algorithm based on filtering;
after the normalized Dugoff tire model is established, the normalized tire force in the model needs to be calculated, namely the vertical load F of each wheel is calculated respectivelyZfl、FZfr、FZrl、FZrrLongitudinal slip ratio λfl、λfr、λrl、λrrTire slip angle αfl,αfr,αrl,αrrThe corner marks fl, fr, rl, rr represent the left front wheel, the right front wheel, the left rear wheel, and the right rear wheel of the vehicle, respectively;
the vertical load calculation formula of each wheel is as follows:
Figure BDA0002182484890000099
Figure BDA0002182484890000101
Figure BDA0002182484890000102
Figure BDA0002182484890000103
the formula for calculating the slip angle of each wheel is as follows:
Figure BDA0002182484890000104
Figure BDA0002182484890000105
Figure BDA0002182484890000106
Figure BDA0002182484890000107
calculation formula of each wheel slip ratio:
Figure BDA0002182484890000108
Figure BDA0002182484890000109
Figure BDA00021824848900001010
Figure BDA00021824848900001011
velocity v of each wheel grounding point in the above formulafl、vfr、vrl、vrrThe calculation formula is as follows:
Figure BDA0002182484890000111
Figure BDA0002182484890000112
Figure BDA0002182484890000113
Figure BDA0002182484890000114
the meaning of each parameter in the above formulas is β is the vehicle mass center slip angle,
Figure BDA0002182484890000115
vcogis the speed of the center of mass of the vehicle,
Figure BDA0002182484890000116
m is the total vehicle mass, a is the horizontal distance between the center of the front wheel and the vehicle mass center, b is the horizontal distance between the center of the rear wheel and the vehicle mass center, l is the vehicle wheel base, hgIs the height of the center of mass of the vehicle, axFor longitudinal acceleration of the vehicle, ayFor lateral acceleration of the vehicle, TfIs a track of two front wheels, TrIs a two rear wheel track vxLongitudinal speed, v, of the entire vehicleyLateral speed of the entire vehicle, RωAs wheel rolling speed, ωfl、ωfr、ωrl、ωrrRolling angular velocities of the left front wheel, the right front wheel, the left rear wheel and the right rear wheel are respectively;
the longitudinal normalized tire force for the four wheels can thus be expressed as:
Figure BDA0002182484890000117
Figure BDA0002182484890000118
Figure BDA0002182484890000119
Figure BDA00021824848900001110
the lateral normalized tire force for the four wheels can be expressed as:
Figure BDA00021824848900001111
Figure BDA00021824848900001112
Figure BDA0002182484890000121
Figure BDA0002182484890000122
parameters required in the calculation process of the normalized tire force corrected by combining the Dugoff tire model comprise vehicle structure parameters and kinematic parameters, the structure parameters can be directly measured, and the kinematic parameters can be measured by a related vehicle-mounted sensor;
in order to write a system state equation and an observation equation in a filtering-based road adhesion coefficient estimation algorithm in a row, a three-degree-of-freedom four-wheel vehicle model of a vehicle is required to be established to describe the longitudinal, lateral and yaw motions of the vehicle;
referring to fig. 5, the equations of motion for the vehicle in the three directions, longitudinal, lateral and yaw, are:
Figure BDA0002182484890000123
Figure BDA0002182484890000124
Figure BDA0002182484890000125
in the formula, axFor longitudinal acceleration of the vehicle, ayIn order to provide for a lateral acceleration of the vehicle,
Figure BDA0002182484890000126
is the yaw angular acceleration of the vehicle, delta is the two front wheel corners, m is the total vehicle mass, mufl、μfr、μrl、μrrRespectively, the road surface adhesion coefficients of a left front wheel, a right front wheel, a left rear wheel and a right rear wheel, a is the horizontal distance between the center of the front wheel and the mass center of the vehicle, b is the horizontal distance between the center of the rear wheel and the mass center of the vehicle, and T is the horizontal distance between the center of the rear wheel and the mass center of the vehiclefIs a track of two front wheels, TrTwo rear wheel track, IzYaw moment of inertia of the vehicle;
the method comprises the following steps that related sensors on a vehicle measure vehicle kinematic parameters required by an algorithm and transmit the vehicle kinematic parameters to a Dugoff tire model, the Dugoff tire model calculates longitudinal and lateral normalized tire forces and transmits the longitudinal and lateral normalized tire forces to a vehicle three-degree-of-freedom four-wheel model, so that three dynamic equations in the longitudinal direction, the lateral direction and the yaw direction are obtained, and a system state equation and an observation equation of a road adhesion coefficient filter estimator can be obtained based on the three dynamic equations to carry out subsequent adhesion coefficient estimation;
the system selected by the road adhesion coefficient estimation algorithm based on filtering is a nonlinear system, and the state equation and the observation equation of the system are respectively as follows:
the state equation is as follows:
Figure BDA0002182484890000131
the observation equation:
y(t)=h(x(t),u(t),v(t))
the random variables w (t), v (t) are respectively process noise and measurement noise, Gaussian white noise which are independent from each other and have a zero mean value is taken in the filtering-based road adhesion coefficient estimation algorithm, and the probability distribution is as follows:
p(w)~N(0,Q)p(v)~N(0,R)
and setting their covariance matrices as Q and R, respectively, namely:
Q=cov[w(t),w(τ)]
R=cov[v(t),v(τ)]
referring to fig. 6, the filtering-based road adhesion coefficient estimation algorithm is implemented as follows:
(1) determining a system state equation and an observation equation:
determining according to the motion equations of the longitudinal direction, the lateral direction and the yaw direction of the three-degree-of-freedom four-wheel vehicle model:
the state variables are as follows: x (t) ═ μflμfrμrlμrr]T
Observation variables: y (t) ═ axayr]T
And (3) control input: u (t) ═ δ,
writing a state equation and an observation equation into the three-degree-of-freedom four-wheel vehicle model according to expressions and variables of motion equations in the longitudinal direction, the lateral direction and the yaw direction of the three-degree-of-freedom four-wheel vehicle model:
the state equation is as follows:
Figure BDA0002182484890000132
the observation equation:
Figure BDA0002182484890000141
wherein:
Figure BDA0002182484890000142
Figure BDA0002182484890000143
(2) the estimator assigns an initial value:
measuring an initial value in a recursion process, wherein a noise covariance matrix R is a 3-by-3 unit matrix, and a process noise covariance matrix Q is a 4-by-4 unit matrix;
(3) estimating the road adhesion coefficient by using a filtering algorithm:
①, the filter is initialized, the iteration step number k is 0, and the initial mean value of the state variable x
Figure BDA0002182484890000144
And the covariance P (0) are:
Figure BDA0002182484890000145
Figure BDA0002182484890000146
② calculating by using unscented transformation to obtain 2n +1 points, making the mean and covariance of the 2n +1 points equal to those of the original state distribution, and referring the 2n +1 points as Sigma points, n as state dimension, according to the above state equation, taking n as 4, then obtaining 9 Sigma point sets, where the state dimension of each Sigma point set is consistent with that of state variable x, that is, 4-dimensional column vector, then the matrix x formed by the 9 Sigma point sets is 4 x 9 matrix, and setting χi(0) For each column vector, i.e. each Sigma point set, χ in the matrix χ at iteration step k ═ 00(0) Column one of Sigma matrix χ, and so on, the initial Sigma matrix is:
Figure BDA0002182484890000147
Figure BDA0002182484890000151
where λ is a proportionality parameter, λ ═ α2-1)·n=4(α2-1), α for determining the Sigma point at the mean of the state variable
Figure BDA0002182484890000152
The nearby distribution range is a very small positive number 10-4α ≤ 1, and α ═ 10-3
The above-mentioned calculation process of the initial Sigma point set when the iteration step number k is 0 is also applicable to the Sigma point set calculation of other iteration step numbers, except that the state variables used for the Sigma point set calculation at this time are allThe value and state variable covariance values being the value at time k, i.e. at time k
Figure BDA0002182484890000153
And p (kk), the calculation formula is:
Figure BDA0002182484890000154
Figure BDA0002182484890000155
③, proceeding to the next iteration, increasing the number k of iteration steps by 1, predicting the 9 Sigma point sets in the next step, substituting the Sigma point set obtained in the previous step in the step ② into the state equation (a) of the system to obtain a transformed Sigma point set:
χ(kk-1)=f(χ(k-1),u(k-1))k=1,2,…
④, calculating the next prediction mean value and the prediction variance of the system state variable according to the principle of unscented transformation, wherein the prediction mean value of the system state variable is obtained by the weighted summation of the prediction values of the Sigma point set:
Figure BDA0002182484890000156
in the formula Wi (m)The average weight of each Sigma point is specifically:
W0 (m)=λ/(4+λ)i=0
Wi (m)=1/[2(4+λ)]i=1,2,…,8
the predicted variance of the system state variables is obtained by weighted summation of the predicted covariance of the Sigma point set:
Figure BDA0002182484890000157
middle x of the above formulai(k | k-1) is the ith column of the matrix χ (k | k-1), i ═ 0,1, …, 8; wi (c)The covariance weight of each Sigma point is specifically:
W0 (c)=λ/(n+λ)+(1-α2+β)i=0
Wi (c)=1/[2(n+λ)]i=1,2,…,8
wherein β is used to merge prior states relating to the distribution of state variables x, which obey a gaussian distribution in the filter-based road adhesion coefficient estimation algorithm, typically β -2;
⑤ generating a new Sigma point set by using the unscented transformation again according to the next predicted mean and the next predicted variance of the system state variables obtained in step ④, the calculation process is the same as that of the initial Sigma point set in step ②:
Figure BDA0002182484890000161
Figure BDA0002182484890000162
⑥ substituting the new Sigma point set obtained in step ⑤ into observation equation (b) to obtain the next predicted value of the observed quantity of the Sigma point set:
Figure BDA0002182484890000163
u (k-1) in the formula is system input at the moment when the iteration step number is k-1, namely the front wheel rotation angle delta at the moment can be measured by the existing vehicle-mounted rotation angle sensor;
according to the observation equation (b), the output matrix of the system is a matrix of 3 times 4, and the Sigma matrix chi (kk-1) is a matrix of 4 times 9, so that the next predicted value of the observed quantity of the Sigma point set is calculated through the observation equation (b)
Figure BDA0002182484890000164
A matrix of 3 by 9;
⑦ predicted value from the observed value of Sigma Point set obtained in step ⑥
Figure BDA0002182484890000165
Obtaining a predicted mean value of the system observation variable through weighted summation:
Figure BDA0002182484890000166
in the formula
Figure BDA0002182484890000167
Matrix of next prediction values of observed quantities of Sigma point set
Figure BDA0002182484890000168
I ═ 0,1, …, 8;
⑧ predicted value from the observed value of Sigma Point set obtained in step ⑥
Figure BDA0002182484890000169
Calculating an updated observation covariance matrix and a state variable and output variable cross-correlation matrix by weighted summation:
the observed covariance matrix is:
Figure BDA0002182484890000171
the state variable and output variable cross-correlation matrix is:
Figure BDA0002182484890000172
⑨ calculating the updated filtered feedback gain matrix of the system:
Figure BDA0002182484890000173
calculating the updated state variable mean matrix of the system:
Figure BDA0002182484890000174
matrix array
Figure BDA0002182484890000175
The (1,1) element, (2,1) element, (3,1) element, and (4,1) element are the filter estimation values of the left front wheel adhesion coefficient, the right front wheel adhesion coefficient, the left rear wheel adhesion coefficient, and the right rear wheel adhesion coefficient when the iteration step number is k, respectively;
wherein y (k) is the actual observed variable value at the moment when the iteration step number is k, i.e. the longitudinal acceleration a at the moment when the iteration step number is kxLateral acceleration ayAnd yaw angular acceleration
Figure BDA0002182484890000176
The three vehicle kinematic parameters can be measured in real time by a relevant acceleration sensor assembled on the vehicle and then transmitted to the road adhesion coefficient estimation algorithm based on filtering;
calculating the updated state variable covariance value of the system:
P(k|k)=P(k|k-1)-K(k)PyyKT(k)
mean value of state variable after system update
Figure BDA0002182484890000177
And the state variable covariance value P (k | k) returns to step ② to generate the next set of Sigma point sets, and the calculation of the next iteration step is started, wherein the process is repeated continuously until all the iteration steps are completed, and finally the road adhesion coefficients mu of the four wheels are obtained;
the iteration step number k of the filtering-based road adhesion coefficient estimation algorithm depends on the sampling step length set by the algorithm, and the selection of the sampling step length directly influences the final convergence degree and the final convergence speed of the algorithm, namely the estimation speed and the accuracy of the road adhesion coefficients of the four wheels, so that the sampling step length of the algorithm needs to be specifically adjusted according to related parameters of different vehicles to enable the algorithm to obtain the best performance.
With reference to fig. 7, the road adhesion coefficient estimation algorithm based on filtering is verified, and it can be seen from the drawing that the road adhesion coefficients of the wheels can all be converged within 1s, and are basically consistent with the actual reference values of the road adhesion coefficients, and the error is extremely small, which shows that the road adhesion coefficient estimation algorithm based on filtering of the invention has good performance, the road adhesion coefficient estimation speed and the estimation precision are extremely high, and the requirements of the vehicle-level algorithm are met.
The road adhesion coefficient estimation algorithm based on filtering considers the situation that a vehicle runs on the road surface with different four wheel adhesion coefficients such as an open road surface, after the road adhesion coefficient estimation value of each wheel is obtained, the road adhesion coefficient estimation algorithm based on filtering compares the four values to obtain the minimum value of the four wheel adhesion coefficients, and feeds the minimum value mu back to the safe distance calculation model so as to prevent the collision danger caused by insufficient vehicle braking deceleration due to the fact that sufficient braking force cannot be generated between a low-adhesion-coefficient tire and the road surface.
In step (2), the target braking deceleration a of the light braking of the AEB system1max0.25 to 0.35 [ mu ] g, target braking deceleration a of full-force braking2max0.75-0.85 mug; the three-level early warning safety distance threshold value calculation method of the AEB system comprises the following steps:
referring to fig. 8, from the perspective of vehicle braking, the hierarchical braking process of the vehicle is divided into six stages:
the first stage is as follows: the duration of the period t from the initiation of the mild braking signal by the AEB system to the initiation of the mild braking deceleration of the vehicle by the active braking system11Determined by the response lag time of the active braking system of the vehicle, can be obtained through experimental tests. At this stage, since the brake system is not building up brake pressure, the vehicle deceleration is 0, and the displacement of the host vehicle is:
S11=v0t11
in the formula: v. of0The initial speed of the vehicle;
and a second stage: the stage takes the start of pressurization of the active braking system as a starting point until the braking pressure reaches the target hydraulic pressure of mild braking, and the pressurization time is t12(ii) a In this process, the vehicle braking deceleration a increases with the increase of the brake pressure1Vehicle speed v12And a displacement S12The expressions are respectively as follows:
Figure BDA0002182484890000181
v12=v0-∫a1·dt
Figure BDA0002182484890000182
in the formula: a is1maxTarget braking deceleration for a light braking stage;
and a third stage: this phase is a mild braking phase with the AEB system stable, with the vehicle remaining a1maxIs constant, the duration t of the process13The speed v of the vehicle is set by an AEB system and can be 1-2 s in the process13And a displacement S13The changes are as follows:
v13=v0-0.5a1maxt12-a1maxt
Figure BDA0002182484890000191
a fourth stage: the phase from the initiation of the emergency full force braking signal by the AEB system to the initiation of the boost by the active braking system, during which the vehicle remains a1maxIs constant in braking deceleration, this phase responding to the lag duration t21=t11(ii) a Vehicle speed v at this stage21And a displacement S21Respectively as follows:
v21=v0-a1max(0.5t12+t13)-a1maxt
Figure BDA0002182484890000192
the fifth stage: the stage is a boosting stage of the hydraulic braking system, the active braking pressure is increased from a mild braking target value to a full force braking target value, and the boosting time t22(ii) a At this stage, the vehicle deceleratesDegree a2Vehicle speed v22And a displacement S22The expressions are respectively as follows:
Figure BDA0002182484890000193
v22=v0-a1max(0.5t12+t13+t21)-∫a2dt
Figure BDA0002182484890000194
in the formula: a is2maxThe target braking deceleration is the full-force braking stage;
the sixth stage: a stable full-force braking stage, which is started from the time when the braking pressure of the vehicle reaches the target braking pressure, the time when the vehicle speed is reduced to 0 or the time when the vehicle speed is reduced to the dangerous target vehicle speed vtUntil the end; in this phase, the vehicle initial speed v2Duration t23Real-time vehicle speed v23And a braking distance S23The expressions are respectively as follows:
v2=v0-a1max(0.5t12+t13+t21+0.5t22)-0.5a2maxt22
Figure BDA0002182484890000195
v23=v2-a2max·t
Figure BDA0002182484890000201
the calculation process of the graded braking of the vehicle is finished;
because the dangerous target vehicle in front has the possibility of emergency braking, under the working condition, the vehicle takes the distance between two vehicles which are subjected to emergency braking simultaneously and do not collide as the safe distance threshold value of light braking, the full-force braking process of the vehicle active braking system is calculated:
the process is divided into three stages:
the first stage is as follows: a hysteresis phase for the response of the active braking system, during which the vehicle travels a distance S1Comprises the following steps:
S1=v0·t1
and a second stage: an active braking pressure establishing stage in which the active braking pressure is linearly increased, a braking deceleration a of the vehicle and a vehicle speed v of the vehicle1And the vehicle displacement S2Are respectively:
Figure BDA0002182484890000202
v1=v0-∫adt
Figure BDA0002182484890000203
in the formula: t is t2Time of pressure build-up for active braking system, a2maxA target braking deceleration for the host vehicle;
and a third stage: in which the vehicle is decelerated uniformly until it stops, and in which the initial speed v of the vehicle30Real-time vehicle speed v3Duration t3And a braking distance S3Respectively as follows:
Figure BDA0002182484890000204
Figure BDA0002182484890000205
v3=v30-a2max·t
Figure BDA0002182484890000206
next, AEB three early warning levels are carried out to obtain a safety distance threshold value SwSdSbThe calculation of (2):
① full force braking threshold Sb
The current dangerous target vehicle has the speed v known from the graded braking process of the vehicletThe vehicle keeps running at a constant speed, and when the vehicle is braked and decelerated to the front dangerous target vehicle speed by full force, the braking distance S of the vehicleh1_mComprises the following steps:
Sh1_m=S21+S22+S23
in this process, the distance S traveled by the front dangerous target vehiclet1Comprises the following steps:
St1=vt(t21+t22+t23)
the target distance which can be kept with the front vehicle after the vehicle finishes the automatic emergency braking is S0Then the AEB system triggers the safe distance threshold S of full force brakingbComprises the following steps:
Sb=Sh1_m-St1+S0
② light braking safety distance threshold Sd
When the front dangerous target vehicle suddenly brakes at the maximum deceleration, the braking distance S ist2Comprises the following steps:
Figure BDA0002182484890000211
the vehicle also adopts a full-force braking model to calculate the braking distance Sh2_mComprises the following steps:
Sh2_m=S1+S2+S3
the AEB system light braking safety distance threshold value SdComprises the following steps:
Sd=Sh2_m-St2+S0
③ visual and auditory early warning safety distance threshold Sw
Sw=Sd+tw·v0
In the formula twThe duration of the early warning for the sound sensation and the vision can be selected as1~1.5s。
It can be seen from the above AEB early warning level safety threshold that the mild braking deceleration of the AEB system in the safety distance calculation model is 0.3 μ g, the braking deceleration of the full-force braking is 0.8 μ g, and μ is the minimum value of the road surface adhesion coefficients of the four wheels of the vehicle at that time, which is calculated by the road surface information estimation model, so that the deceleration values of the mild braking and the full-force braking can be changed online in real time according to the actual minimum road surface adhesion coefficient μ, and the collision danger caused by the fact that the road surface cannot provide the preset braking deceleration when the AEB system performs automatic braking is prevented. Meanwhile, the safe distance calculation model can adjust early warning threshold values at all levels according to the road adhesion coefficient at the moment, and the danger caused by too-late triggering of the AEB system is prevented.
In the step (4), the method for estimating the gradient i of the road surface where the vehicle is located by the road surface information estimation model based on the road surface gradient estimation algorithm of the closed-loop full-dimensional state observer is as follows:
the related sensors of the vehicle transmit vehicle parameters required by road gradient estimation to a road information estimation model, and the vehicle running equation is Ft=Ff+Fw+Fi+Fj
Vehicle driving force FtComprises the following steps:
Figure BDA0002182484890000221
where r is the rolling radius of the wheel, TeAs vehicle engine torque, igFor the transmission ratio of the vehicle transmission, i0As a vehicle final drive, ηtThe overall efficiency of the vehicle driveline;
air resistance F of vehiclewComprises the following steps:
Figure BDA0002182484890000222
wherein C isDIs the coefficient of air resistance, A is the frontal area, ρ is the air density, vxIs the vehicle longitudinal speed;
vehicle acceleratorFast resistance FjComprises the following steps:
Fj=δMax
wherein δ is a vehicle rotating mass conversion coefficient; m is the total vehicle mass, axIs the vehicle longitudinal acceleration;
rolling resistance F of vehiclefComprises the following steps:
Ff=Mgfcosα≈Mgf
wherein f is the vehicle rolling resistance coefficient;
gradient resistance F of vehicleiComprises the following steps:
Fi=Mgsinα≈Mgi
the longitudinal dynamic equation of the vehicle on the slope can be written as:
Figure BDA0002182484890000223
the vehicle-related parameters involved in the calculation process are all parameters which are easily obtained in the vehicle design and manufacturing process. In order to apply the state observer, the longitudinal dynamic equation is linearized, and the vehicle driving force F is processedtAir resistance FwAnd rolling resistance FfViewed as a resultant force FinputAnd (3) inputting a longitudinal kinetic equation as a system, and simplifying the longitudinal kinetic equation into:
δMa=Finput-Mgi
the above formula is a system state equation, and a state space expression of the system can be written based on the system state equation; at vehicle longitudinal speed vxAnd gradient i as system state variable, with resultant force FinputFor system input variables, the state space expression based on the automobile longitudinal dynamics equation is as follows:
Figure BDA0002182484890000231
z=Cx
wherein:
Figure BDA0002182484890000232
C=[1 0];
the observability of the system is verified as follows, and the observability matrix of the system is:
Figure BDA0002182484890000233
observability matrix QBThe full rank indicates that the system can observe, so the road surface slope observer is designed as follows:
Figure BDA0002182484890000234
wherein
Figure BDA0002182484890000235
Is an observation vector of the observer,
Figure BDA0002182484890000236
h is the feedback gain matrix of the observer; e is an error vector, i.e.
Figure BDA0002182484890000237
Will be provided with
Figure BDA0002182484890000238
And
Figure BDA0002182484890000239
subtraction can give:
Figure BDA00021824848900002310
is provided with
Figure BDA00021824848900002311
J, the above formula is changed to
Figure BDA00021824848900002312
Is converted into a first-order linear differential equation about j, and the initial time is set as t0The differential equation is solved as:
Figure BDA00021824848900002313
to guarantee observer stability, it should be guaranteed that the observer error vector e is equal to 0 when the time goes to infinity, i.e.:
Figure BDA00021824848900002314
as long as the characteristic root λ of (a-HC) has a negative real part, the error vector will decay exponentially to 0, and the decay rate is determined by the characteristic root of (a-HC); setting feedback gain matrix of observer
Figure BDA00021824848900002315
The characteristic equation of (A-HC) is:
Figure BDA00021824848900002316
the expected pole of the full-dimensional observer, i.e. the (A-HC) characteristic root with a negative real part, is preset to be lambda1And λ2,λ1And λ2Can be selected by the user of the system, as long as the system is ensured to have a negative real part, and the pole lambda is expected1And λ2The corresponding expected characteristic equation is:
(λ-λ1)(λ-λ2)=λ2-(λ12)λ+λ1λ2(5)
let the elements of the feedback gain matrix H of the available observer with the same term coefficients for equations (4) and (5) be:
h1=-λ12
Figure BDA0002182484890000241
the characteristic value lambda can be ensured by calculating and obtaining the feedback gain matrix H according to the method1And λ2Has a negative real part, even if the observer is stable;full-dimensional state observer observation variable
Figure BDA0002182484890000242
Second row element of (1)
Figure BDA0002182484890000243
I.e. the estimated value i of the road gradient on which the vehicle is located at the moment.
Referring to the attached drawing 10, the road surface gradient estimation algorithm based on the closed-loop full-dimensional state observer is verified, and as can be seen from the attached drawing, the road surface gradient estimation value can be converged in a very short time, and is basically consistent with an actual reference value of the road surface gradient, and the error is very small.

Claims (3)

1. The utility model provides an automatic hierarchical automatic emergency brake control system of electric motor car of adjustment which characterized in that: the control system comprises: the system comprises vehicle-mounted distance and speed measuring sensing equipment, a graded early warning control system, a safe distance calculation model, a vehicle inverse longitudinal dynamics calculation model, a hydraulic braking force and regenerative braking force distribution calculation module, a hydraulic braking system inverse model, an ESC and Booster active pressurization hydraulic pressure distribution module and a road surface information estimation model, wherein the control method of the system comprises the following steps:
(1) in the running process of the vehicle, the vehicle-mounted distance and speed measuring sensing equipment transmits the real-time distance S between the vehicle and the dangerous target vehicle to the grading early warning control system, and transmits the motion state information of the dangerous target vehicle to the safe distance calculation model; the road surface information estimation model transmits the minimum road surface adhesion coefficient mu in the four wheels of the vehicle to the safe distance calculation model, and transmits the road surface gradient of the vehicle to the vehicle inverse longitudinal dynamics calculation model;
(2) the safe distance calculation model divides the braking intensity of the AEB system into a light braking mode and a full braking mode, and determines the target braking deceleration of the two-stage braking intensity of the AEB system according to the minimum road adhesion coefficient mu in the four wheelsaexpTarget braking deceleration a of light brakingexpGet a1max0.25 to 0.35 [ mu ] g, target braking deceleration a of full-force brakingexpGet a2max0.75-0.85 mug; and the real-time longitudinal speed v of the vehicle is measured by the vehicle speed sensor according to the motion state information of the dangerous target0Determining three control signal trigger thresholds for the AEB system: sensory warning safety distance threshold SwSafety distance threshold S for light brakingdSafety distance threshold S for full force brakingbThe three-level early warning safety distance threshold value calculation method of the AEB system comprises the following steps:
from the perspective of vehicle braking, the hierarchical braking process of the vehicle is divided into six stages:
the first stage is as follows: the duration of the period t from the initiation of the mild braking signal by the AEB system to the initiation of the mild braking deceleration of the vehicle by the active braking system11The response lag time of the active braking system of the vehicle, at this stage, since the braking system is not building up brake pressure, the deceleration of the vehicle is 0, and the displacement of the host vehicle is:
S11=v0t11
in the formula: v. of0The initial speed of the vehicle;
and a second stage: the stage takes the start of pressurization of the active braking system as a starting point until the braking pressure reaches the target hydraulic pressure of mild braking, and the pressurization time is t12(ii) a In this process, the vehicle braking deceleration a increases with the increase of the brake pressure1Vehicle speed v12And a displacement S12The expressions are respectively as follows:
Figure FDA0002436379890000011
v12=v0-∫a1·dt
Figure FDA0002436379890000021
vehicle braking decelerationA of degree1In the formula: a is1maxThe target braking deceleration in the mild braking stage is t, and the t represents an independent variable of time;
and a third stage: this phase is a mild braking phase with the AEB system stable, with the vehicle remaining a1maxIs constant, the duration t of the process13The speed v of the vehicle is set by an AEB system and can be 1-2 s in the process13And a displacement S13The changes are as follows:
v13=v0-0.5a1maxt12-a1maxt
Figure FDA0002436379890000022
vehicle speed v13In the formula: t represents an argument of time;
a fourth stage: the phase from the initiation of the emergency full force braking signal by the AEB system to the initiation of the boost by the active braking system, during which the vehicle remains a1maxIs constant in braking deceleration, this phase responding to the lag duration t21=t11(ii) a Vehicle speed v at this stage21And a displacement S21Respectively as follows:
v21=v0-a1max(0.5t12+t13)-a1maxt
Figure FDA0002436379890000023
vehicle speed v21In the formula: t represents an argument of time;
the fifth stage: the stage is a boosting stage of the hydraulic braking system, the active braking pressure is increased from a mild braking target value to a full force braking target value, and the boosting time t22(ii) a At this stage, the vehicle deceleration a2Vehicle speed v22And a displacement S22The expressions are respectively as follows:
Figure FDA0002436379890000024
v22=v0-a1max(0.5t12+t13+t21)-∫a2dt
Figure FDA0002436379890000025
deceleration a of the vehicle2In the formula: a is2maxT represents the independent variable of time as the target braking deceleration in the full-force braking stage;
the sixth stage: a stable full-force braking stage, which is started from the time when the braking pressure of the vehicle reaches the target braking pressure, the time when the vehicle speed is reduced to 0 or the time when the vehicle speed is reduced to the dangerous target vehicle speed vtUntil the end; in this phase, the vehicle initial speed v2Duration t23Real-time vehicle speed v23And a braking distance S23The expressions are respectively as follows:
v2=v0-a1max(0.5t12+t13+t21+0.5t22)-0.5a2maxt22
Figure FDA0002436379890000031
v23=v2-a2max·t
Figure FDA0002436379890000032
real-time vehicle speed v23In the formula: t represents an argument of time;
the calculation process of the graded braking of the vehicle is finished;
because the dangerous target vehicle in front has the possibility of emergency braking, under the working condition, the vehicle takes the distance between two vehicles which are subjected to emergency braking simultaneously and do not collide as the safe distance threshold value of light braking, the full-force braking process of the vehicle active braking system is calculated:
the process is divided into three stages:
the first stage is as follows: a hysteresis phase for the response of the active braking system, during which the vehicle travels a distance S1Comprises the following steps:
S1=v0·t1
and a second stage: an active braking pressure establishing stage in which the active braking pressure is linearly increased, a braking deceleration a of the vehicle and a vehicle speed v of the vehicle1And the vehicle displacement S2Are respectively:
Figure FDA0002436379890000033
v1=v0-∫adt
Figure FDA0002436379890000034
the braking deceleration a of the vehicle is expressed by the formula: t is t2Time of pressure build-up for active braking system, a2maxT represents an independent variable of time for a target braking deceleration of the host vehicle;
and a third stage: in which the vehicle is decelerated uniformly until it stops, and in which the initial speed v of the vehicle30Real-time vehicle speed v3Duration t3And a braking distance S3Respectively as follows:
Figure FDA0002436379890000041
Figure FDA0002436379890000042
v3=v30-a2max·t
Figure FDA0002436379890000043
real-time vehicle speed v3In the formula: t represents an argument of time;
next, AEB three early warning levels are carried out to obtain a safety distance threshold value Sw、Sd、SbThe calculation of (2):
① full force braking threshold Sb
The current dangerous target vehicle has the speed v known from the graded braking process of the vehicletThe vehicle keeps running at a constant speed, and when the vehicle is braked and decelerated to the front dangerous target vehicle speed by full force, the braking distance S of the vehicleh1_mComprises the following steps:
Sh1_m=S21+S22+S23
in this process, the distance S traveled by the front dangerous target vehiclet1Comprises the following steps:
St1=vt(t21+t22+t23)
the minimum safe vehicle distance range S is the target distance which can be kept between the vehicle and the front vehicle after the vehicle finishes the automatic emergency braking0,S0The distance is 2-3 m, the AEB system triggers the safe distance threshold value S of full-force brakingbComprises the following steps:
Sb=Sh1_m-St1+S0
② light braking safety distance threshold Sd
When the front dangerous target vehicle suddenly brakes at the maximum deceleration, the braking distance S ist2Comprises the following steps:
Figure FDA0002436379890000044
the vehicle also adopts a full-force braking model to calculate the braking distance Sh2_mComprises the following steps:
Sh2_m=S1+S2+S3
the AEB system light braking safety distance threshold value SdComprises the following steps:
Sd=Sh2_m-St2+S0
③ visual and auditory early warning safety distance threshold Sw
Sw=Sd+tw·v0
In the formula twThe duration of the early warning for the sound sensation and the vision can be 1-1.5 s;
(3) the grading early warning control system compares the real-time distance S between the vehicle and the dangerous target with early warning threshold values S at all levelsw、Sd、SbIs compared, and whether the driver has active deceleration operation or not is combined, and the AEB early warning control signal, namely the target longitudinal deceleration a of the vehicle is analyzed and generatedexp: if S > SwIf the distance between the vehicle and the front vehicle is within the safe range, the system judges that the vehicle and the front vehicle are not actuated; if Sw<S<SdIf the driver is in the deceleration state, the system can perform visual touch early warning on the driver to remind the driver to perform deceleration operation; if Sb<S<SdAnd judging that the driver does not perform deceleration operation at the moment according to the signal of the brake pedal stroke sensor, the system controls the vehicle to perform light braking, and the target longitudinal deceleration a is performed at the momentexpFor light braking deceleration a1max(ii) a If the driver has deceleration operation at the moment, the AEB system can carry out sensory early warning on the driver until the driver keeps the distance between the vehicles at a safe distance; if S is less than SbThe system can control the vehicle to carry out full-force braking so that the vehicle is in the preset minimum safe vehicle distance range S at the fastest speed0Stopping inside or reaching the same speed as the dangerous target, at which time the target longitudinal deceleration aexpFor full-force braking deceleration a2max
(4) The grading early warning control system decelerates the target longitudinally aexpThe target braking force F required to be provided by the vehicle braking system at the moment is finally obtained by transmitting the target braking force F to the vehicle inverse longitudinal dynamics calculation model, calculating the gradient i of the road surface where the vehicle is located by the road surface information estimation model at the same time, transmitting the gradient i to the vehicle inverse longitudinal dynamics calculation model, calculating by the formula (1) when the vehicle ascends the slope and calculating by the formula (2) when the vehicle descends the slope, and finally obtaining the target braking force F required to be provided by the vehicle brakingb
Fb=maexp-Ff-Fw-Gi (1)
Fb=maexp+Gi-Ff-Fw(2)
Where m is the vehicle mass, G is the vehicle gravity, FfTo rolling resistance, FwIs the air resistance;
(5) target braking force FbThe distribution calculation module transmits the hydraulic braking force and the regenerative braking force to the regenerative braking system, and the regenerative braking system judges the regenerative braking force F which can be provided at the moment according to the working state of the vehicle at the momentbrThe hydraulic braking force and regenerative braking force distribution calculation module calculates a target hydraulic braking force F at the timebh=Fb-Fbr
(6) Target hydraulic braking force FbhThe target hydraulic pressure P of each brake wheel cylinder is obtained by the formula (3) after the target hydraulic pressure P is transmitted to the inverse model of the hydraulic brake system for calculationexp
Figure FDA0002436379890000051
Wherein r isr0For wheel rolling radius, [ BEF]fFor the front wheel brake braking efficiency factor, [ BEF]rThe braking efficiency factors of the rear wheel brake are all conventional structural parameters of the vehicle;
(7) target hydraulic pressure P of each brake wheel cylinderexpTransmitting the pressure to an ESC and Booster active pressurization hydraulic pressure distribution module, and judging the active pressurization mode of the hydraulic braking system at the moment: if PexpIn the active pressurization limit range of the ESC system, the ESC system carries out active pressurization control on the pressure build-up of a brake wheel cylinder; if PexpIf the pressure exceeds the active pressure increase limit of the ESC system, the Booster builds pressure in a brake wheel cylinder to carry out active pressure increase control, so that the vehicle is decelerated to a target speed;
the above processes are continuously carried out in the whole triggering process of the AEB system, and the information such as the real-time distance between the vehicle and the dangerous target, the early warning threshold values of all levels, the motion states of the vehicle and the dangerous target and the like is continuously updated and adjusted until the vehicle is decelerated to the target speed or stops and keeps a preset safe distance between the vehicle and the dangerous target.
2. The hierarchical automatic emergency brake control system for an automatically adjusting electric vehicle of claim 1, wherein: in the step (1), the method for obtaining the minimum road adhesion coefficient mu by the road adhesion coefficient estimation model based on filtering is as follows:
the Dugoff tire model is first built to obtain normalized tire forces, and represents the longitudinal and lateral forces on the tire as:
Figure FDA0002436379890000061
Figure FDA0002436379890000062
Figure FDA0002436379890000063
Figure FDA0002436379890000064
in the formula FxIs a tire longitudinal force, FyFor lateral forces of the tire, FzIs the tire normal force, λ is the longitudinal slip ratio, CyFor the cornering stiffness of the tyre, Cxα is tire slip angle, mu is road surface adhesion coefficient, epsilon is tire influence coefficient, is a parameter related to the structure and material of the tire and used for correcting the influence of vehicle slip speed on tire force, L is boundary value and used for describing the nonlinear characteristics of tire force caused by wheel slip, v isxThe longitudinal speed of the whole vehicle; to facilitate the design of the road adhesion coefficient estimation algorithm, the Dugoff tire model is simplified to the following normalization form:
Figure FDA0002436379890000071
Figure FDA0002436379890000072
in the formula
Figure FDA0002436379890000073
And
Figure FDA0002436379890000074
the normalized tire forces in the longitudinal direction and the lateral direction are respectively independent of the adhesion coefficient mu, so that a coefficient matrix of a system state space expression is conveniently determined in the road adhesion coefficient estimation algorithm based on filtering;
after the normalized Dugoff tire model is established, the normalized tire force in the model needs to be calculated, namely the vertical load F of each wheel is calculated respectivelyZfl、FZfr、FZrl、FZrrLongitudinal slip ratio λfl、λfr、λrl、λrrTire slip angle αfl,αfr,αrl,αrrThe corner marks fl, fr, rl, rr represent the left front wheel, the right front wheel, the left rear wheel, and the right rear wheel of the vehicle, respectively;
the vertical load calculation formula of each wheel is as follows:
Figure FDA0002436379890000075
Figure FDA0002436379890000076
Figure FDA0002436379890000077
Figure FDA0002436379890000078
the formula for calculating the slip angle of each wheel is as follows:
Figure FDA0002436379890000079
Figure FDA00024363798900000710
Figure FDA0002436379890000081
Figure FDA0002436379890000082
in the formula: r is the vehicle yaw rate;
calculation formula of each wheel slip ratio:
Figure FDA0002436379890000083
Figure FDA0002436379890000084
Figure FDA0002436379890000085
Figure FDA0002436379890000086
velocity v of each wheel grounding point in the above formulafl、vfr、vrl、vrrThe calculation formula is as follows:
Figure FDA0002436379890000087
Figure FDA0002436379890000088
Figure FDA0002436379890000089
Figure FDA00024363798900000810
the meaning of each parameter in the above formulas is β is the vehicle mass center slip angle,
Figure FDA00024363798900000811
vcogis the speed of the center of mass of the vehicle,
Figure FDA00024363798900000812
m is the total vehicle mass, a is the horizontal distance between the center of the front wheel and the vehicle mass center, b is the horizontal distance between the center of the rear wheel and the vehicle mass center, l is the vehicle wheel base, hgIs the height of the center of mass of the vehicle, axFor longitudinal acceleration of the vehicle, ayFor lateral acceleration of the vehicle, TfIs a track of two front wheels, TrIs a two rear wheel track vxLongitudinal speed, v, of the entire vehicleyLateral speed of the entire vehicle, RωAs wheel rolling speed, ωfl、ωfr、ωrl、ωrrRolling angular velocities of the left front wheel, the right front wheel, the left rear wheel and the right rear wheel are respectively;
the longitudinal normalized tire force for the four wheels can thus be expressed as:
Figure FDA0002436379890000091
Figure FDA0002436379890000092
Figure FDA0002436379890000093
Figure FDA0002436379890000094
the lateral normalized tire force for the four wheels can be expressed as:
Figure FDA0002436379890000095
Figure FDA0002436379890000096
Figure FDA0002436379890000097
Figure FDA0002436379890000098
f(Lfl)、f(Lfr)、f(Lrl)、f(Lrr) Non-linear characteristic descriptors of tire acting force brought by slippage of the left front wheel, the right front wheel, the left rear wheel and the right rear wheel; parameters required in the calculation process of the normalized tire force corrected by combining the Dugoff tire model comprise vehicle structure parameters and kinematic parameters, the structure parameters can be directly measured, and the kinematic parameters can be measured by a related vehicle-mounted sensor;
in order to write a system state equation and an observation equation in a filtering-based road adhesion coefficient estimation algorithm in a row, a three-degree-of-freedom four-wheel vehicle model of a vehicle is required to be established to describe the longitudinal, lateral and yaw motions of the vehicle;
the motion equations of the vehicle in the longitudinal direction, the lateral direction and the yaw direction are as follows:
Figure FDA0002436379890000101
Figure FDA0002436379890000102
Figure FDA0002436379890000103
in the formula, axFor longitudinal acceleration of the vehicle, ayIn order to provide for a lateral acceleration of the vehicle,
Figure FDA0002436379890000104
is the yaw angular acceleration of the vehicle, delta is the two front wheel corners, m is the total vehicle mass, mufl、μfr、μrl、μrrRespectively, the road surface adhesion coefficients of a left front wheel, a right front wheel, a left rear wheel and a right rear wheel, a is the horizontal distance between the center of the front wheel and the mass center of the vehicle, b is the horizontal distance between the center of the rear wheel and the mass center of the vehicle, and T is the horizontal distance between the center of the rear wheel and the mass center of the vehiclefIs a track of two front wheels, TrTwo rear wheel track, IzYaw moment of inertia of the vehicle;
the method comprises the following steps that related sensors on a vehicle measure vehicle kinematic parameters required by an algorithm and transmit the vehicle kinematic parameters to a Dugoff tire model, the Dugoff tire model calculates longitudinal and lateral normalized tire forces and transmits the longitudinal and lateral normalized tire forces to a vehicle three-degree-of-freedom four-wheel model, so that three dynamic equations in the longitudinal direction, the lateral direction and the yaw direction are obtained, and a system state equation and an observation equation of a road adhesion coefficient filter estimator can be obtained based on the three dynamic equations to carry out subsequent adhesion coefficient estimation;
the system selected by the road adhesion coefficient estimation algorithm based on filtering is a nonlinear system, and the state equation and the observation equation of the system are respectively as follows:
the state equation is as follows:
Figure FDA0002436379890000105
the observation equation:
y(t)=h(x(t),u(t),v(t))
the random variables w (t), v (t) are respectively process noise and measurement noise, Gaussian white noise which are independent from each other and have a zero mean value is taken in the filtering-based road adhesion coefficient estimation algorithm, and the probability distribution is as follows:
p(w)~N(0,Q)p(v)~N(0,R)
and setting their covariance matrices as Q and R, respectively, namely:
Q=cov[w(t),w(τ)]
R=cov[v(t),v(τ)]
the specific implementation process of the road adhesion coefficient estimation algorithm based on filtering is as follows:
(1) determining a system state equation and an observation equation:
determining according to the motion equations of the longitudinal direction, the lateral direction and the yaw direction of the three-degree-of-freedom four-wheel vehicle model:
the state variables are as follows: x (t) ═ μflμfrμrlμrr]T
Observation variables: y (t) ═ axayr]T
And (3) control input: u (t) ═ δ,
writing a state equation and an observation equation into the three-degree-of-freedom four-wheel vehicle model according to expressions and variables of motion equations in the longitudinal direction, the lateral direction and the yaw direction of the three-degree-of-freedom four-wheel vehicle model:
the state equation is as follows:
Figure FDA0002436379890000111
the observation equation:
Figure FDA0002436379890000112
wherein:
Figure FDA0002436379890000113
Figure FDA0002436379890000121
(2) the estimator assigns an initial value:
measuring an initial value in a recursion process, wherein a noise covariance matrix R is a 3-by-3 unit matrix, and a process noise covariance matrix Q is a 4-by-4 unit matrix;
(3) estimating the road adhesion coefficient by using a filtering algorithm:
①, the filter is initialized, the iteration step number k is 0, and the initial mean value of the state variable x
Figure FDA0002436379890000122
And the covariance P (0) are:
Figure FDA0002436379890000123
Figure FDA0002436379890000124
② calculating by using unscented transformation to obtain 2n +1 points, making the mean and covariance of the 2n +1 points equal to those of the original state distribution, and referring the 2n +1 points as Sigma points, n as state dimension, according to the above state equation, taking n as 4, then obtaining 9 Sigma point sets, where the state dimension of each Sigma point set is consistent with that of state variable x, that is, 4-dimensional column vector, then the matrix x formed by the 9 Sigma point sets is 4 x 9 matrix, and setting χi(0) For each column vector, i.e. each Sigma point set, χ in the matrix χ at iteration step k ═ 00(0) Column one of Sigma matrix χ, and so on, the initial Sigma matrix is:
Figure FDA0002436379890000125
Figure FDA0002436379890000126
where i is the number of each column vector in the matrix χ, λ is a scaling parameter, and λ is (α)2-1)·n=4(α2-1), α for determining the Sigma point at the mean of the state variable
Figure FDA0002436379890000127
The nearby distribution range is a very small positive number 10-4≤α≤1;
The above-mentioned calculation process of the initial Sigma point set when the iteration step number k is 0 is also applicable to the Sigma point set calculation of other iteration step numbers, except that the state variable mean value and the state variable covariance value used for the Sigma point set calculation at this time are values at the time k, that is, values at the time k
Figure FDA0002436379890000128
And P (k | k), the calculation formula is:
Figure FDA0002436379890000129
wherein i is the number of each column vector in the matrix χ;
③, proceeding to the next iteration, increasing the iteration step number k by 1, predicting the 9 Sigma point sets in the next step, substituting the Sigma point set obtained in the step ② into the state equation (a) of the system to obtain a transformed Sigma point set:
χ(k|k-1)=f(χ(k-1),u(k-1))k=1,2,…
④, calculating the next prediction mean value and the prediction variance of the system state variable according to the principle of unscented transformation, wherein the prediction mean value of the system state variable is obtained by the weighted summation of the prediction values of the Sigma point set:
Figure FDA0002436379890000131
in the formula Wi (m)The average weight of each Sigma point is specifically:
W0 (m)=λ/(4+λ)i=0
Wi (m)=1/[2(4+λ)]i=1,2,…,8
wherein i is the number of each column vector in the matrix χ;
the predicted variance of the system state variables is obtained by weighted summation of the predicted covariance of the Sigma point set:
Figure FDA0002436379890000132
middle x of the above formulai(k | k-1) is the ith column of the matrix χ (k | k-1), i ═ 0,1, …, 8; wi (c)The covariance weight of each Sigma point is specifically:
W0 (c)=λ/(n+λ)+(1-α2+β)i=0
Wi (c)=1/[2(n+λ)]i=1,2,…,8
wherein i is the number of each column vector in the matrix χ;
β, wherein the state variables x in the filter-based road adhesion coefficient estimation algorithm obey Gaussian distribution, and β is 2;
⑤ generating a new Sigma point set by using the unscented transformation again according to the next predicted mean and the next predicted variance of the system state variables obtained in step ④, the calculation process is the same as that of the initial Sigma point set in step ②:
Figure FDA0002436379890000133
Figure FDA0002436379890000141
wherein i is the number of each column vector in the matrix χ;
⑥ substituting the new Sigma point set obtained in step ⑤ into observation equation (b) to obtain the next predicted value of the observed quantity of the Sigma point set:
Figure FDA0002436379890000142
u (k-1) in the formula is system input at the moment when the iteration step number is k-1, namely the front wheel rotation angle delta at the moment can be measured by the existing vehicle-mounted rotation angle sensor;
by observation ofAs can be seen from equation (b), the output matrix of the system is a 3-by-4 matrix, and the Sigma matrix χ (k | k-1) is a 4-by-9 matrix, so that the next predicted value of the observed quantity of the Sigma point set is calculated through observation equation (b)
Figure FDA0002436379890000143
A matrix of 3 by 9;
⑦ predicted value from the observed value of Sigma Point set obtained in step ⑥
Figure FDA0002436379890000144
Obtaining a predicted mean value of the system observation variable through weighted summation:
Figure FDA0002436379890000145
in the formula
Figure FDA0002436379890000146
Matrix of next prediction values of observed quantities of Sigma point set
Figure FDA0002436379890000147
I ═ 0,1, …, 8;
⑧ predicted value from the observed value of Sigma Point set obtained in step ⑥
Figure FDA0002436379890000148
And predicted mean of system observed variables
Figure FDA0002436379890000149
Calculating an updated observation covariance matrix and a state variable and output variable cross-correlation matrix by weighted summation:
the observed covariance matrix is:
Figure FDA00024363798900001410
the state variable and output variable cross-correlation matrix is:
Figure FDA00024363798900001411
⑨ calculating the updated filtered feedback gain matrix of the system:
Figure FDA00024363798900001412
calculating the updated state variable mean matrix of the system:
Figure FDA0002436379890000151
matrix array
Figure FDA0002436379890000152
The (1,1) element, (2,1) element, (3,1) element, and (4,1) element are the filter estimation values of the left front wheel adhesion coefficient, the right front wheel adhesion coefficient, the left rear wheel adhesion coefficient, and the right rear wheel adhesion coefficient when the iteration step number is k, respectively;
wherein y (k) is the actual observed variable value at the moment when the iteration step number is k, i.e. the longitudinal acceleration a at the moment when the iteration step number is kxLateral acceleration ayAnd yaw angular acceleration
Figure FDA0002436379890000153
The three vehicle kinematic parameters can be measured in real time by a relevant acceleration sensor assembled on the vehicle and then transmitted to the road adhesion coefficient estimation algorithm based on filtering;
calculating the updated state variable covariance value of the system:
P(k|k)=P(k|k-1)-K(k)PyyKT(k)
mean value of state variable after system update
Figure FDA0002436379890000154
And the state variable covariance value P (k | k) returns to step ② to generate a next group of Sigma point sets, the calculation of the next iteration step is started, the process is repeated continuously until all the iteration steps are completed, the road adhesion coefficients mu of the four wheels are finally obtained, the adhesion coefficient values of the four wheels are compared to obtain the minimum value, and then the minimum value mu is transmitted to the safe distance calculation model.
3. The hierarchical automatic emergency brake control system for an automatically adjusting electric vehicle of claim 1, wherein: in the step (4), the method for estimating the gradient i of the road surface where the vehicle is located in the road surface information estimation model based on the road surface gradient estimation algorithm of the closed-loop full-dimensional state observer is as follows:
the related sensors of the vehicle transmit vehicle parameters required by road gradient estimation to a road information estimation model, and the vehicle running equation is Ft=Ff+Fw+Fi+Fj
Vehicle driving force FtComprises the following steps:
Figure FDA0002436379890000155
where r is the rolling radius of the wheel, TeAs vehicle engine torque, igFor the transmission ratio of the vehicle transmission, i0As a vehicle final drive, ηtThe overall efficiency of the vehicle driveline;
air resistance F of vehiclewComprises the following steps:
Figure FDA0002436379890000156
wherein C isDIs the coefficient of air resistance, A is the frontal area, ρ is the air density, vxIs the vehicle longitudinal speed;
vehicle acceleration resistance FjComprises the following steps:
Fj=δMax
wherein delta is a conversion coefficient of rotating mass of vehicle(ii) a M is the total vehicle mass, axIs the vehicle longitudinal acceleration;
rolling resistance F of vehiclefComprises the following steps:
Ff=Mgf cosα≈Mgf
wherein f is the vehicle rolling resistance coefficient;
gradient resistance F of vehicleiComprises the following steps:
Fi=Mg sinα≈Mgi
the longitudinal dynamic equation of the vehicle on the slope can be written as:
Figure FDA0002436379890000161
driving force F of vehicletAir resistance FwAnd rolling resistance FfViewed as a resultant force FinputAs system input of the vehicle longitudinal dynamics model, the longitudinal dynamics equation is simplified as follows:
δMa=Finput-Mgi
the above formula is a system state equation, and a state space expression of the system can be written based on the system state equation; at vehicle longitudinal speed vxAnd gradient i as system state variable, with resultant force FinputFor system input variables, the state space expression based on the automobile longitudinal dynamics equation is as follows:
Figure FDA0002436379890000162
z=Cx
wherein:
Figure FDA0002436379890000163
the observability matrix of the system is:
Figure FDA0002436379890000164
observability matrix QBFull rank, accounting for the systemTherefore, the road surface gradient observer is designed as follows:
Figure FDA0002436379890000165
wherein
Figure FDA0002436379890000166
Is an observation vector of the observer,
Figure FDA0002436379890000167
h is the feedback gain matrix of the observer; e is an error vector, i.e.
Figure FDA0002436379890000171
Will be provided with
Figure FDA0002436379890000172
And
Figure FDA0002436379890000173
subtraction can give:
Figure FDA0002436379890000174
is provided with
Figure FDA0002436379890000175
J, the above formula is changed to
Figure FDA0002436379890000176
Is converted into a first-order linear differential equation about j, and the initial time is set as t0Then the differential equation is solved as:
Figure FDA0002436379890000177
to guarantee observer stability, it should be guaranteed that the observer error vector e is equal to 0 when the time goes to infinity, i.e.:
Figure FDA0002436379890000178
as long as the characteristic root λ of (a-HC) has a negative real part, the error vector will decay exponentially to 0, and the decay rate is determined by the characteristic root of (a-HC); setting feedback gain matrix of observer
Figure FDA0002436379890000179
The characteristic equation of (A-HC) is:
Figure FDA00024363798900001710
the expected pole of the full-dimensional observer, i.e. the (A-HC) characteristic root with a negative real part, is preset to be lambda1And λ2Expectation pole λ1And λ2The corresponding expected characteristic equation is:
(λ-λ1)(λ-λ2)=λ2-(λ12)λ+λ1λ2(5)
let the elements of the feedback gain matrix H of the available observer with the same term coefficients for equations (4) and (5) be:
h1=-λ12
Figure FDA00024363798900001711
the characteristic value lambda can be ensured by calculating and obtaining the feedback gain matrix H according to the method1And λ2The observer can be stabilized by having a negative real part; full-dimensional state observer observation variable
Figure FDA00024363798900001712
Second row element of (1)
Figure FDA00024363798900001713
I.e. the estimated value i of the road gradient on which the vehicle is located at the moment.
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