CN105539449B - A kind of coefficient of road adhesion real-time estimating method under damped condition - Google Patents
A kind of coefficient of road adhesion real-time estimating method under damped condition Download PDFInfo
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B60—VEHICLES IN GENERAL
- B60W—CONJOINT 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
- B60W40/00—Estimation 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
- B60W40/02—Estimation 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
- B60W40/06—Road conditions
- B60W40/064—Degree of grip
Abstract
A kind of coefficient of road adhesion real-time estimating method under damped condition, including two-wheel vehicles Brake Dynamics model, ideal brake force square controller and coefficient of road adhesion observer.Wherein, two-wheel vehicles Brake Dynamics model is made of whole vehicle model and tire model.Based on two-wheel vehicles Brake Dynamics model, sliding mode controller is redesigned using saturation function and integration diverter surface, jitter problem is eliminated, establishes ideal brake force square controller.On the basis of two-wheel vehicles Brake Dynamics model and ideal brake force square controller, using second-order linearity extended state observer, coefficient of road adhesion observer, observation and the relevant expansion state amount of attachment coefficient are designed, and then completes the real-time estimation of road pavement attachment coefficient.Design parameter of the present invention is few, and computational efficiency is high, and eliminating Sliding mode variable structure control using saturation function and integration diverter surface mode buffets problem, and coefficient of road adhesion observer uses second-order linearity extended state observer, strong robustness.
Description
Technical field
The present invention relates to the coefficient of road adhesion under automobile active safety control field, more particularly to a kind of damped condition is real
When evaluation method.
Background technology
At present, advanced driver assistance system is housed mostly, such as Emergency avoidance system (ECA), adaptively on existing automobile
Cruise control system (ACC), anti-blocking brake system (ABS), Traction control system (TCS) and electronic stability program (ESP)
The safety and stability of vehicle traveling can be greatly improved Deng, these DAS (Driver Assistant System)s.Advanced driver assistance system energy
It is enough that control logic is adjusted automatically according to coefficient of road adhesion change, so as to play the property of control system to greatest extent
Can, and it is the prerequisite for realizing active safety control to obtain coefficient of road adhesion in real time, exactly.
For the acquisition methods of coefficient of road adhesion, mainly there are two kinds of direct detecting method and evaluation method both at home and abroad.Its
In, direct detecting method mainly using optical sensor absorption of the measurement road surface to light and scattering situation, according to road surface form with
Physical characteristic carries out coefficient of road adhesion identification, although this method application is simple direct, sensor is expensive, is unfavorable for
The promotion and application on volume production car.And evaluation method then passes through measurement and the relevant vehicle of coefficient of road adhesion or tire dynamics
Respond to estimate the size of coefficient of road adhesion, this method can make full use of onboard sensor, reduce cost.At present, mainly
Evaluation method has three kinds of Kalman filtering algorithm, double expanded Kalman filtration algorithms and extended state observer method.Compared to
Kalman filtering algorithm and double expanded Kalman filtration algorithms, extended state observer method can ensure higher calculating essence
Avoid solving cumbersome Jacobian matrix on the premise of degree, but it does not account for the transfer of load under damped condition, and
Design parameter is more, and computational efficiency is not high.
The content of the invention
For current techniques means there are the problem of and defect, propose under a kind of damped condition consider before and after axle load shift
Coefficient of road adhesion real-time estimating method.
The present invention uses following technical scheme to solve above-mentioned technical problem:
A kind of coefficient of road adhesion real-time estimating method under damped condition, including two-wheel vehicles Brake Dynamics model,
Ideal brake force square controller and coefficient of road adhesion observer.Wherein, two-wheel vehicles Brake Dynamics model is by whole vehicle model
Formed with tire model.Based on two-wheel vehicles Brake Dynamics model, former rear wheel slip rate tracking desired slip rate is in order to control
Target, establishes sliding mode controller, and redesigns sliding mode controller using saturation function and integration diverter surface, eliminates shake and asks
Topic, establishes ideal brake force square controller.Finally, in two-wheel vehicles Brake Dynamics model and ideal brake force square controller
On the basis of, using second-order linearity extended state observer, design and inputted using wheel speed signal and braking moment signal as observer, wheel
Attachment coefficient is the coefficient of road adhesion observer of observer output between tire and road surface, will using coefficient of road adhesion observer
Come out with the relevant item of attachment coefficient as expansion state discharge observation, and then complete the real-time estimation of road pavement attachment coefficient.
The present invention compared with prior art, has following technique effect using above technical scheme:
1. the evaluation method considers the axle load transfer under damped condition, design parameter is few, and computational efficiency is high;
2. eliminating Sliding mode variable structure control using saturation function and integration diverter surface mode buffets problem, and road surface is adhered to
Coefficient observer uses second-order linearity extended state observer, strong robustness.
Brief description of the drawings
Fig. 1 is the procedure chart of the coefficient of road adhesion evaluation method.
In figure, 1- whole vehicle models, 2- tire models, 3- two-wheel vehicles Brake Dynamics models, 4- sliding mode controllers, 5- reasons
Think braking moment controller, 6- coefficient of road adhesion observers.
Embodiment
Technical scheme is described in further detail below in conjunction with the accompanying drawings:
As shown in Figure 1, the invention discloses the coefficient of road adhesion real-time estimating method under a kind of damped condition, including it is double
Wheeled vehicle Brake Dynamics model 3, ideal brake force square controller 5 and coefficient of road adhesion observer 6.Wherein, two-wheel vehicles
Brake Dynamics model 3 is made of whole vehicle model 1 and tire model 2.
Establish whole vehicle model 1:
Assuming that x is displacement in vehicle travel process, mf、mrRespectively nonspring carried mass before and after vehicle, hf、hrRespectively car
Front and rear nonspring carried mass height, msFor sprung mass, hsFor sprung mass height, Fzf、FzrRespectively front and back wheel is subject to
Ground normal reaction, lf、lrRespectively barycenter to wheel base from dynamic equation group:
Wherein,
In formula:μ(λf) and μ (λr) it is respectively attachment coefficient between front and back wheel and road surface, m is complete vehicle quality, and V is vehicle
Barycenter longitudinal velocity, Tbf、TbrRespectively front and back wheel brake force square, Jf、JrRespectively front and back wheel rotary inertia, ωf、ωrRespectively
Front and back wheel angular speed, RωFor radius of wheel.
Establish tire model 2:
Based on Magic Formula models, Burckhardt models are can obtain by theory deformation, simulation analysis, its road
Face attachment coefficient is related with tyre skidding rate λ and vehicle velocity V:
In formula:C1、C2、C3For tire enclosing characteristic parameter, C4Affecting parameters for automobile driving speed to attachment characteristic.
Based on two-wheel vehicles Brake Dynamics model 3, former rear wheel slip rate tracks desired slip rate target in order to control, builds
Vertical sliding mode controller 4:
In formula:λf、λrRespectively front and back wheel actual slip rate;λfd、λrdRespectively front and back wheel target slip ratio.
Equivalent control torque can be obtained to its derivation:
Then front and back wheel ideal brake force square is:
Wherein:
Ff(λf, λr)=F2(1-λf)+RωF3
Fr(λf, λr)=F2(1-λr)+RωF4
In formula:η1And η2All it is positive number.
In order to eliminate buffeting problem, by saturation function sat () be applied in sliding formwork control and using integration diverter surface
Sliding mode controller is redesigned, establishes ideal brake force square controller 5:
S1=λf-λfd+ξ1∫(λf-λfd)dt
S2=λr-λrd+ξ2∫(λr-λrd)dt
In formula:ξ1And ξ2For constant.
Then front and back wheel ideal brake force square is respectively:
In formula:WithFor constant.
Finally, using second-order linearity extended state observer, establish using wheel speed signal and braking moment signal as observer
Input, attachment coefficient is the coefficient of road adhesion observer 6 of observer output between tire and road surface:
It can be obtained by two-wheel vehicles Brake Dynamics model 3,
Above formula is contained into the disturbance that coefficient of road adhesion item regards system as, and as the expansion state variable of system, order:
ωf=x1;ωr=x3; Tbf=u1;Tbr=u2。
Then obtaining two integrator tandem type systems is respectively:
By taking first integrator tandem type system as an example, it can be observed using following second-order linearity extended state observer
State x1With expansion state x2:
Wherein:ω0Bandwidth for the linear extended state observer obtained by POLE PLACEMENT USING;u1And y1Respectively observer
Input signal;z1And z2The respectively output signal of linear extended state observer, is respectively state x1With expansion state x2's
Observation;b0Gain b in order to control1Estimate.Second integrator train state x can similarly be obtained3And expansion state
x4Observation.
Then have for above two integrator tandem type systems:
Wherein:z1And z2For state x1(front-wheel wheel speed) and expansion state x2Observation, z3And z4For state x3(rear wheel rotation
Speed) and expansion state x4Observation.
Coefficient of road adhesion observer 6 based on foundation, will be with the relevant item of coefficient of road adhesion as expansion state amount
Observe and, using above-mentioned expression formula can conveniently, real-time estimation go out attachment coefficient between front and back wheel and road surface.
Claims (2)
- A kind of 1. coefficient of road adhesion real-time estimating method under damped condition, it is characterised in that:It is dynamic including two-wheel vehicles braking Mechanical model (3), ideal brake force square controller (5) and coefficient of road adhesion observer (6);The two-wheel vehicles braking is dynamic Mechanical model (3), including whole vehicle model (1) and tire model (2);Whole vehicle model (1) meets following relational expression:<mrow> <mover> <mi>x</mi> <mo>&CenterDot;</mo> </mover> <mo>=</mo> <mi>V</mi> </mrow><mrow> <mover> <mi>V</mi> <mo>&CenterDot;</mo> </mover> <mo>=</mo> <mo>-</mo> <mi>g</mi> <mfrac> <mrow> <mi>&mu;</mi> <mrow> <mo>(</mo> <msub> <mi>&lambda;</mi> <mi>f</mi> </msub> <mo>)</mo> </mrow> <msub> <mi>m</mi> <mn>1</mn> </msub> <mo>+</mo> <mi>&mu;</mi> <mrow> <mo>(</mo> <msub> <mi>&lambda;</mi> <mi>r</mi> </msub> <mo>)</mo> </mrow> <msub> <mi>m</mi> <mn>2</mn> </msub> </mrow> <mrow> <mi>m</mi> <mo>-</mo> <mi>&mu;</mi> <mrow> <mo>(</mo> <msub> <mi>&lambda;</mi> <mi>f</mi> </msub> <mo>)</mo> </mrow> <msub> <mi>m</mi> <mn>3</mn> </msub> <mo>+</mo> <mi>&mu;</mi> <mrow> <mo>(</mo> <msub> <mi>&lambda;</mi> <mi>r</mi> </msub> <mo>)</mo> </mrow> <msub> <mi>m</mi> <mn>3</mn> </msub> </mrow> </mfrac> </mrow><mrow> <msub> <mover> <mi>&omega;</mi> <mo>&CenterDot;</mo> </mover> <mi>f</mi> </msub> <mo>=</mo> <mfrac> <mn>1</mn> <mrow> <mn>2</mn> <msub> <mi>J</mi> <mi>f</mi> </msub> </mrow> </mfrac> <mrow> <mo>(</mo> <mo>-</mo> <msub> <mi>T</mi> <mrow> <mi>b</mi> <mi>f</mi> </mrow> </msub> <mo>+</mo> <mi>&mu;</mi> <mo>(</mo> <msub> <mi>&lambda;</mi> <mi>f</mi> </msub> <mo>)</mo> <msub> <mi>m</mi> <mn>1</mn> </msub> <msub> <mi>R</mi> <mi>&omega;</mi> </msub> <mi>g</mi> <mo>-</mo> <mi>&mu;</mi> <mo>(</mo> <msub> <mi>&lambda;</mi> <mi>f</mi> </msub> <mo>)</mo> <msub> <mi>m</mi> <mn>3</mn> </msub> <msub> <mi>R</mi> <mi>&omega;</mi> </msub> <mover> <mi>x</mi> <mo>&CenterDot;&CenterDot;</mo> </mover> <mo>)</mo> </mrow> </mrow><mrow> <msub> <mover> <mi>&omega;</mi> <mo>&CenterDot;</mo> </mover> <mi>r</mi> </msub> <mo>=</mo> <mfrac> <mn>1</mn> <mrow> <mn>2</mn> <msub> <mi>J</mi> <mi>r</mi> </msub> </mrow> </mfrac> <mrow> <mo>(</mo> <mo>-</mo> <msub> <mi>T</mi> <mrow> <mi>b</mi> <mi>r</mi> </mrow> </msub> <mo>+</mo> <mi>&mu;</mi> <mo>(</mo> <msub> <mi>&lambda;</mi> <mi>r</mi> </msub> <mo>)</mo> <msub> <mi>m</mi> <mn>2</mn> </msub> <msub> <mi>R</mi> <mi>&omega;</mi> </msub> <mi>g</mi> <mo>+</mo> <mi>&mu;</mi> <mo>(</mo> <msub> <mi>&lambda;</mi> <mi>r</mi> </msub> <mo>)</mo> <msub> <mi>m</mi> <mn>3</mn> </msub> <msub> <mi>R</mi> <mi>&omega;</mi> </msub> <mover> <mi>x</mi> <mo>&CenterDot;&CenterDot;</mo> </mover> <mo>)</mo> </mrow> </mrow>Wherein,<mrow> <msub> <mi>m</mi> <mn>1</mn> </msub> <mo>=</mo> <mfrac> <msub> <mi>l</mi> <mi>r</mi> </msub> <mrow> <msub> <mi>l</mi> <mi>f</mi> </msub> <mo>+</mo> <msub> <mi>l</mi> <mi>r</mi> </msub> </mrow> </mfrac> <mi>m</mi> </mrow><mrow> <msub> <mi>m</mi> <mn>2</mn> </msub> <mo>=</mo> <mfrac> <msub> <mi>l</mi> <mi>f</mi> </msub> <mrow> <msub> <mi>l</mi> <mi>f</mi> </msub> <mo>+</mo> <msub> <mi>l</mi> <mi>r</mi> </msub> </mrow> </mfrac> <mi>m</mi> </mrow><mrow> <msub> <mi>m</mi> <mn>3</mn> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>m</mi> <mi>f</mi> </msub> <msub> <mi>l</mi> <mi>f</mi> </msub> <mo>+</mo> <msub> <mi>m</mi> <mi>s</mi> </msub> <msub> <mi>l</mi> <mi>s</mi> </msub> <mo>+</mo> <msub> <mi>m</mi> <mi>r</mi> </msub> <msub> <mi>l</mi> <mi>r</mi> </msub> </mrow> <mrow> <msub> <mi>l</mi> <mi>f</mi> </msub> <mo>+</mo> <msub> <mi>l</mi> <mi>r</mi> </msub> </mrow> </mfrac> </mrow>In formula:X be vehicle travel process in displacement, mf、mrRespectively nonspring carried mass before and after vehicle, hf、hrRespectively before vehicle Nonspring carried mass height afterwards, msFor sprung mass, hsFor sprung mass height, Fzf、FzrThe ground that respectively front and back wheel is subject to Normal reaction, lf、lrRespectively barycenter to wheel base from μ (λf) and μ (λr) it is respectively between front and back wheel and road surface Attachment coefficient, m are complete vehicle quality, and V is vehicle centroid longitudinal velocity, Tbf、TbrRespectively front and back wheel brake force square, Jf、JrRespectively For front and back wheel rotary inertia, ωf、ωrRespectively front and back wheel angular speed, RωFor radius of wheel;Tire model (2) meets following relational expression:<mrow> <mi>&mu;</mi> <mrow> <mo>(</mo> <mi>&lambda;</mi> <mo>,</mo> <mi>V</mi> <mo>)</mo> </mrow> <mo>=</mo> <mrow> <mo>(</mo> <msub> <mi>C</mi> <mn>1</mn> </msub> <mo>(</mo> <mrow> <mn>1</mn> <mo>-</mo> <msup> <mi>e</mi> <mrow> <mo>-</mo> <msub> <mi>C</mi> <mn>2</mn> </msub> <mi>&lambda;</mi> </mrow> </msup> </mrow> <mo>)</mo> <mo>-</mo> <msub> <mi>C</mi> <mn>3</mn> </msub> <mi>&lambda;</mi> <mo>)</mo> </mrow> <msup> <mi>e</mi> <mrow> <mo>-</mo> <msub> <mi>C</mi> <mn>4</mn> </msub> <mi>&lambda;</mi> <mi>V</mi> </mrow> </msup> </mrow>In formula:C1、C2、C3For tire enclosing characteristic parameter, C4Affecting parameters for automobile driving speed to attachment characteristic, λ are wheel Tire slip rate, V are speed.
- 2. the coefficient of road adhesion real-time estimating method under a kind of damped condition as claimed in claim 1, it is characterised in that:Institute The ideal brake force square controller (5) stated, is redesigned by sliding mode controller (4) using saturation function and integration diverter surface Arrive;Ideal brake force square controller (5) meets following relation:S1=λf-λfd+ξ1∫(λf-λfd)dtS2=λr-λrd+ξ2∫(λr-λrd)dtIn formula:λf、λrRespectively front and back wheel actual slip rate, λfd、λrdRespectively front and back wheel target slip ratio, ξ1And ξ2For constant.
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CN109131336B (en) * | 2017-06-15 | 2020-07-28 | 华为技术有限公司 | Method and system for acquiring road adhesion coefficient |
CN108454597B (en) * | 2018-01-03 | 2020-01-24 | 江苏大学 | Vehicle anti-lock control system based on LQG controller and slip rate jitter suppression method |
CN108528419B (en) * | 2018-01-31 | 2019-12-03 | 江苏大学 | A kind of bicyclic forecast Control Algorithm of the vehicle line control brake system towards full application of brake operating condition |
CN109131306B (en) * | 2018-08-31 | 2020-10-30 | 北京新能源汽车股份有限公司 | Brake control method and brake control system of electric automobile and automobile |
CN109733410A (en) * | 2018-12-21 | 2019-05-10 | 浙江万安科技股份有限公司 | A kind of real-time pavement identification method of ABS and system |
CN110597064B (en) * | 2019-09-24 | 2021-04-16 | 燕山大学 | Active suspension output feedback control method based on nonlinear and uncertain models |
CN110884496A (en) * | 2019-10-30 | 2020-03-17 | 北京理工大学 | Method and device for identifying road adhesion coefficient suitable for tracked vehicle |
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