WO2002020318A1 - Lateral acceleration sensor compensation for an inclined measurement plane - Google Patents

Lateral acceleration sensor compensation for an inclined measurement plane Download PDF

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Publication number
WO2002020318A1
WO2002020318A1 PCT/US2001/028200 US0128200W WO0220318A1 WO 2002020318 A1 WO2002020318 A1 WO 2002020318A1 US 0128200 W US0128200 W US 0128200W WO 0220318 A1 WO0220318 A1 WO 0220318A1
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WO
WIPO (PCT)
Prior art keywords
lateral acceleration
vehicle
plane
angle
estimated
Prior art date
Application number
PCT/US2001/028200
Other languages
French (fr)
Inventor
Richard J. Barron
Daniel R. Milot
Original Assignee
Kelsey-Hayes Company
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Kelsey-Hayes Company filed Critical Kelsey-Hayes Company
Priority to AU2001288948A priority Critical patent/AU2001288948A1/en
Publication of WO2002020318A1 publication Critical patent/WO2002020318A1/en

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Classifications

    • 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
    • B60W40/10Estimation 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 vehicle motion
    • B60W40/109Lateral acceleration
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60GVEHICLE SUSPENSION ARRANGEMENTS
    • B60G17/00Resilient suspensions having means for adjusting the spring or vibration-damper characteristics, for regulating the distance between a supporting surface and a sprung part of vehicle or for locking suspension during use to meet varying vehicular or surface conditions, e.g. due to speed or load
    • B60G17/015Resilient suspensions having means for adjusting the spring or vibration-damper characteristics, for regulating the distance between a supporting surface and a sprung part of vehicle or for locking suspension during use to meet varying vehicular or surface conditions, e.g. due to speed or load the regulating means comprising electric or electronic elements
    • B60G17/019Resilient suspensions having means for adjusting the spring or vibration-damper characteristics, for regulating the distance between a supporting surface and a sprung part of vehicle or for locking suspension during use to meet varying vehicular or surface conditions, e.g. due to speed or load the regulating means comprising electric or electronic elements characterised by the type of sensor or the arrangement thereof
    • B60G17/01908Acceleration or inclination sensors
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60GVEHICLE SUSPENSION ARRANGEMENTS
    • B60G17/00Resilient suspensions having means for adjusting the spring or vibration-damper characteristics, for regulating the distance between a supporting surface and a sprung part of vehicle or for locking suspension during use to meet varying vehicular or surface conditions, e.g. due to speed or load
    • B60G17/015Resilient suspensions having means for adjusting the spring or vibration-damper characteristics, for regulating the distance between a supporting surface and a sprung part of vehicle or for locking suspension during use to meet varying vehicular or surface conditions, e.g. due to speed or load the regulating means comprising electric or electronic elements
    • B60G17/0195Resilient suspensions having means for adjusting the spring or vibration-damper characteristics, for regulating the distance between a supporting surface and a sprung part of vehicle or for locking suspension during use to meet varying vehicular or surface conditions, e.g. due to speed or load the regulating means comprising electric or electronic elements characterised by the regulation being combined with other vehicle control systems
    • 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
    • B60T8/00Arrangements for adjusting wheel-braking force to meet varying vehicular or ground-surface conditions, e.g. limiting or varying distribution of braking force
    • B60T8/17Using electrical or electronic regulation means to control braking
    • B60T8/172Determining control parameters used in the regulation, e.g. by calculations involving measured or detected parameters
    • 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
    • B60T8/00Arrangements for adjusting wheel-braking force to meet varying vehicular or ground-surface conditions, e.g. limiting or varying distribution of braking force
    • B60T8/32Arrangements for adjusting wheel-braking force to meet varying vehicular or ground-surface conditions, e.g. limiting or varying distribution of braking force responsive to a speed condition, e.g. acceleration or deceleration
    • B60T8/88Arrangements for adjusting wheel-braking force to meet varying vehicular or ground-surface conditions, e.g. limiting or varying distribution of braking force responsive to a speed condition, e.g. acceleration or deceleration with failure responsive means, i.e. means for detecting and indicating faulty operation of the speed responsive control means
    • B60T8/885Arrangements for adjusting wheel-braking force to meet varying vehicular or ground-surface conditions, e.g. limiting or varying distribution of braking force responsive to a speed condition, e.g. acceleration or deceleration with failure responsive means, i.e. means for detecting and indicating faulty operation of the speed responsive control means using electrical circuitry
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60GVEHICLE SUSPENSION ARRANGEMENTS
    • B60G2400/00Indexing codes relating to detected, measured or calculated conditions or factors
    • B60G2400/10Acceleration; Deceleration
    • B60G2400/104Acceleration; Deceleration lateral or transversal with regard to vehicle
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60GVEHICLE SUSPENSION ARRANGEMENTS
    • B60G2400/00Indexing codes relating to detected, measured or calculated conditions or factors
    • B60G2400/80Exterior conditions
    • B60G2400/82Ground surface
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60GVEHICLE SUSPENSION ARRANGEMENTS
    • B60G2800/00Indexing codes relating to the type of movement or to the condition of the vehicle and to the end result to be achieved by the control action
    • B60G2800/01Attitude or posture control
    • B60G2800/012Rolling condition
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60GVEHICLE SUSPENSION ARRANGEMENTS
    • B60G2800/00Indexing codes relating to the type of movement or to the condition of the vehicle and to the end result to be achieved by the control action
    • B60G2800/01Attitude or posture control
    • B60G2800/016Yawing condition
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60GVEHICLE SUSPENSION ARRANGEMENTS
    • B60G2800/00Indexing codes relating to the type of movement or to the condition of the vehicle and to the end result to be achieved by the control action
    • B60G2800/01Attitude or posture control
    • B60G2800/019Inclination due to load distribution or road gradient
    • B60G2800/0194Inclination due to load distribution or road gradient transversal with regard to vehicle
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60GVEHICLE SUSPENSION ARRANGEMENTS
    • B60G2800/00Indexing codes relating to the type of movement or to the condition of the vehicle and to the end result to be achieved by the control action
    • B60G2800/70Estimating or calculating vehicle parameters or state variables
    • B60G2800/702Improving accuracy of a sensor signal
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60GVEHICLE SUSPENSION ARRANGEMENTS
    • B60G2800/00Indexing codes relating to the type of movement or to the condition of the vehicle and to the end result to be achieved by the control action
    • B60G2800/90System Controller type
    • B60G2800/91Suspension Control
    • B60G2800/912Attitude Control; levelling control
    • B60G2800/9122ARS - Anti-Roll System Control
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60GVEHICLE SUSPENSION ARRANGEMENTS
    • B60G2800/00Indexing codes relating to the type of movement or to the condition of the vehicle and to the end result to be achieved by the control action
    • B60G2800/90System Controller type
    • B60G2800/92ABS - Brake Control
    • 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
    • B60T2210/00Detection or estimation of road or environment conditions; Detection or estimation of road shapes
    • B60T2210/20Road shapes
    • B60T2210/22Banked curves
    • 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
    • B60T2250/00Monitoring, detecting, estimating vehicle conditions
    • B60T2250/06Sensor zero-point adjustment; Offset compensation
    • 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
    • B60T2260/00Interaction of vehicle brake system with other systems
    • B60T2260/09Complex systems; Conjoint control of two or more vehicle active control systems
    • 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
    • B60T2270/00Further aspects of brake control systems not otherwise provided for
    • B60T2270/40Failsafe aspects of brake control systems
    • B60T2270/411Offset failure
    • 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
    • B60T2270/00Further aspects of brake control systems not otherwise provided for
    • B60T2270/40Failsafe aspects of brake control systems
    • B60T2270/413Plausibility monitoring, cross check, redundancy
    • 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

Definitions

  • This invention relates in general to electronically-controlled vehicular active braking and suspension systems.
  • this invention is concerned with providing compensation for measurement errors in lateral acceleration sensors when the measurement plane of the sensor is inclined with respect to the road surface, such as in a banked turn or when the vehicle has a rolling motion.
  • Electronically-controlled vehicular braking systems can include anti-lock braking (ABS), traction control (TC), and yaw stability control (YSC) functions. These three function can be combined into a vehicle stability control (NSC) system.
  • sensors deliver input signals to an electronic control unit (ECU).
  • the ECU sends output signals to electrically activated devices to apply, hold, and dump (relieve) pressure at wheel brakes of a vehicle.
  • Electrically activated valves and pumps are typically used to control fluid pressure at the wheel brakes.
  • Such valves and pumps can be mounted in a hydraulic control unit (HCU).
  • the valves can include two-state (on/off or off/on) solenoid valves and proportional valves.
  • Electronically-controlled suspension systems can include semi-active suspension systems and active suspension systems to provide active damping for a vehicle.
  • sensors deliver input signals to an electronic control unit (ECU).
  • the ECU sends output signals to electrically activated devices to control the damping rate of the vehicle.
  • electrically activated devices include actuators to control fluid flow and pressure.
  • the actuators typically include electrically activated valves such as two-state digital valves and proportional valves.
  • YSC systems include a lateral accelerometer mounted on the vehicle which measures acceleration in the plane of the vehicle body or frame.
  • the accelerometer output corresponds to the sum of components of all accelerations in its measurement plane.
  • the lateral acceleration measurement is used together with other sensor information (e.g., steering angle and yaw rate) to determine vehicle sideslip which may then be controlled in a desired manner for YSC operation.
  • the lateral acceleration measurement has good accuracy. Any roll motion or traveling on a banked road surface, however, can combine to cause the measurement plane of the accelerometer to become inclined with respect to the road surface plane, thereby resulting in a discrepancy between the measured lateral acceleration and the actual lateral acceleration in the road plane.
  • the present invention advantageously compensates for the gravity component (due to a banked road and/or a vehicle roll motion) so that measured acceleration is corrected before being used by the YSC system.
  • YSC performance does not have to be desensitized to prevent false activations for banked turns, for example.
  • the present invention provides an estimate of bank angle which can be used in other control systems (such as the active suspension system) to improve their performance.
  • a method of determining road-plane lateral acceleration in a vehicle having a suspension sensor and an accelerometer comprises measuring a roll angle in response to the suspension sensor.
  • a vehicle-plane lateral acceleration is measured in response to the accelerometer.
  • Horizontal lateral acceleration is estimated independently of the accelerometer.
  • An estimated bank angle is determined in response to a relationship between the roll angle, the measured vehicle-plane lateral acceleration, and the estimated horizontal lateral acceleration.
  • the road-plane lateral acceleration is determined in response to the estimated bank angle and the measured vehicle-plane lateral acceleration.
  • Figure 1 is a schematic diagram defining various angles for a vehicle with roll on a banked surface.
  • Figure 2 is a plot showing the relationship of acceleration vectors for the vehicle of Figure 1.
  • Figure 3 is a flowchart of a preferred embodiment of the invention for estimating the bank angle of an inclined road surface and determining a road-plane lateral acceleration.
  • Figure 4 is a block diagram showing one preferred embodiment for determining an estimated horizontal lateral acceleration.
  • Figure 5 is a schematic diagram of a first embodiment of an integrated vehicular control system for implementing the present invention.
  • Figure 6 is a schematic diagram of a second embodiment of an integrated vehicular control system for implementing the present invention.
  • Figure 7 is a schematic diagram of a third embodiment of an integrated vehicular control system for implementing the present invention.
  • an automotive vehicle includes a body or frame portion 10 connected by a suspension (not shown in Figure 1) to a pair of front wheels 11 and 12.
  • An accelerometer 13 is mounted on body portion 10, preferably at or close to the center of gravity of the vehicle.
  • the suspension associated with each wheel has respective height sensors 14 and 15 providing respective height measurements xj and 2-
  • the vehicle has a track width W between wheels 11 and 12.
  • the vehicle travels on a road surface shown as banked at an inclined plane 20 with respect to horizontal plane 21.
  • the incline angle is referred to as bank angle ⁇ .
  • the vehicle is shown with roll in a roll plane 22 inclined to the road surface at a roll angle a.
  • the roll plane or measurement plane of the vehicle makes a displacement angle ⁇ with respect to horizontal plane 21.
  • Figure 2 shows the relationship of acceleration vectors for the vehicle of Figure 1.
  • the two sources of acceleration are the actual lateral acceleration ay- acting in the horizontal plane and gravity g acting in the vertical plane.
  • the accelerometer responds to components of these accelerations projected into its measurement plane 22. Specifically, a gravity component 23 and an ay- component 24 are projected into plane 22. Their vector sum results in a measured lateral acceleration a m .
  • a control-plane or vehicle-plane lateral acceleration a terme which is a projection of the ay- component into road plane 20 (with no contribution from the gravity component).
  • measured lateral acceleration a m should equal ay- .
  • any difference between a m and ay is a reflection of the displacement angle between the measurement plane and horizontal (i.e., the sum of the bank angle and the roll angle).
  • the present invention compares measured lateral acceleration a m with an estimated value of ay determined independently of the accelerometer measurement in order to determine the angle of the measurement plane. Once the angle of the measurement plane is known, the ay component of the measured lateral acceleration a m in the horizontal plane can be determined. Since the angle of the measurement plane and the roll angle are known, the ay component can be projected into the road plane and the value of vehicle-plane lateral acceleration agina is determined. Furthermore, the intermediate determination of the bank angle is useful in its own right for many other control purposes.
  • Equation 1 is solved for ⁇ as follows:
  • Roll angle is determined in this example from suspension height measurements:
  • Equation 8 Equation 8
  • a lateral acceleration value is obtained within the reference frame of the YSC vehicle models.
  • the present invention can be used to determine bank angle under all conditions and not just while in a turn.
  • estimated lateral acceleration would be zero but acceleration of gravity would create a nonzero lateral acceleration measurement in the accelerometer.
  • the difference can be used to give an estimate of bank angle.
  • step 25 the vehicle roll angle ⁇ is measured based on information from one or more sensors in the suspension system. For example, strut height sensors can be used together with Equation 3.
  • step 26 the vehicle-plane lateral acceleration is measured. Horizontal lateral acceleration is estimated in step 27 based upon other information available to the vehicle control system.
  • step 28 bank angle may be determined as a function of roll angle, measured vehicle-plane acceleration, and estimated horizontal lateral acceleration.
  • Road-plane lateral acceleration is determined as a function of bank angle and measured vehicle-plane lateral acceleration in step 29.
  • step 28 may alternatively determine just the displacement angle ⁇ and step 29 determines road-plane lateral acceleration using terms of displacement angle and roll angle.
  • the road-plane lateral acceleration is provided to a YSC algorithm for controlling vehicle stability, for example. It may be desirable to pass the value of the bank angle to the YSC algorithm as well.
  • Figure 4 shows a preferred method of estimating horizontal lateral acceleration using a "bicycle" model 30.
  • a steering angle signal ⁇ from a steering angle sensing circuit (not shown) and a vehicle speed signal V from a speed sensing circuit (e.g., including wheel rotation sensors) are provided to bicycle model 30.
  • Bicycle model 30 is of a known type for relating various vehicle performance characteristics and for purposes of the present invention is set up to generate an estimated lateral acceleration est ⁇ ay) in response to V and ⁇ .
  • Bicycle model 30 may, for example, model lateral acceleration based on yaw rate and slip rate according to
  • a first embodiment of a vehicular control system according to the present invention is indicated generally at 100 in Figure 6.
  • the control system 100 is particularly adapted to control fluid pressure in an electronically-controlled vehicular braking system and an electronically-controlled vehicular suspension system.
  • the braking system can include anti-lock braking, traction control, and yaw stability control functions.
  • the suspension system can include active damping functions.
  • the control system 100 includes a first electronic control unit (ECU) 102.
  • the first ECU 102 includes a signal processor 104 and a braking algorithm 106.
  • Various sensors 108 strategically placed in a vehicle deliver input signals 110 to the signal processor 104.
  • a lateral acceleration sensor 112 delivers an input signal 114 to the signal processor 104.
  • a longitudinal acceleration sensor 115 delivers an input signal 116 to the signal processor 104.
  • a steering wheel sensor 117 delivers an input signal 118 to the signal processor 104.
  • a yaw rate sensor 120 delivers an input signal 122 to the signal processor 104.
  • some of the above-listed sensors and their associated input signals may be deleted and others may be added. For example, a braking system that provides only ABS and TC functions may not require some of the above-listed sensors.
  • the signal processor 104 delivers transfer signals 124 to the braking algorithm 106.
  • the braking algorithm 106 delivers output signals 126 to a hydraulic control unit (HCU) 128.
  • the HCU 128 can include electromechanical components such as solenoid and/or proportional valves and pumps (not illustrated).
  • the HCU 128 is hydraulically connected to wheel brakes and a source of brake fluid, neither of which is illustrated.
  • the control system 100 also includes a second ECU 130.
  • the second ECU 130 includes a signal processor 132 and a suspension algorithm 134.
  • Various sensors 135 strategically placed in a vehicle deliver input signals 136 to the signal processor 132.
  • a suspension state sensor 137 delivers an input signal 138 to the signal processor 132.
  • a suspension displacement sensor 139 delivers an input signal 140 to the signal processor 132.
  • a relative velocity sensor 141 delivers an input signal 142 to the signal processor 132.
  • An upsprung mass acceleration sensor 143 delivers an input signal 144 to the signal processor 132.
  • some of the above-listed sensors may be deleted and others may be included.
  • the second signal processor 132 delivers transfer signals 145 to the suspension algorithm 134.
  • the first signal processor 104 delivers transfer signals 146 to the suspension algorithm 134.
  • the suspension algorithm 134 delivers output signals 148 to suspension actuators 150, only one of which is illustrated.
  • the actuators 150 are electrically controlled devices such as dampers that vary and control a damping rate of a vehicle.
  • An actuator 150 can include electromechanical components such as solenoid and proportional valves.
  • Information from the vehicular braking system can be shared with the vehicular suspension system.
  • ECU 102 can direct information to ECU 130.
  • One example of transferred information from the braking system to the suspension system is the transfer signal 146 from signal processor 104 to suspension algorithm 134.
  • a second example of transferred information from the braking system to the suspension system is indicated by transfer signal 152, wherein information from the braking algorithm 106 is directed to the suspension algorithm 134.
  • Information from the suspension system can also be shared with the braking system.
  • ECU 130 can direct information to ECU 102.
  • One example of transferred information from the suspension system to the braking system is a transfer signal 154 to a load and load transfer detector 155.
  • Another example is a transfer signal 156 to a turning detector 157.
  • Yet another example is a transfer signal 158 for surface and mismatch tire detector 159.
  • the control system 100 can be configured in various manners to share information from ECU 102 to ECU 130, and vice versa.
  • an ECU 102 for the braking system that receives inputs signals 114, 116, 118 and 122, for lateral acceleration, longitudinal acceleration, steering wheel angle, and yaw rate, respectively, can transfer these input signals to ECU 130 for the suspension system.
  • the signal processor 104 of ECU 102 can send transfer signal 146 to the suspension algorithm 134.
  • a turning detector signal can be generated by ECU 130 and transmitted to ECU 102 to improve braking performance.
  • an electronically controlled suspension system is integrated with an electronically controlled ABS/TC braking system, turning of the vehicle can be detected by the suspension system, thereby generating a turning detector signal that is transmitted to a braking system that does not receive signals from lateral acceleration and steering wheel angle sensors.
  • a turn detection signal to the braking system via ECU 102 can enhance braking performance, particularly during braking- in-turn and accelerating-in-turn.
  • a second embodiment of a control system for controlling vehicular braking and suspension functions is indicated generally at 200 in Figure 7. Elements of control system 200 that are similar to elements of control system 100 are labeled with like reference numerals in the 200 series.
  • Control system 200 also includes an ABS/TC algorithm 206A and a VSC algorithm 206B in place of the braking algorithm 106 of control system 100.
  • Signal processors 204 and 232 may be placed separately from their respective algorithms 206A, 206B, and 230, or they may be located in common ECU's (not illustrated in Figure 7).
  • Transfer signal 270 between ABS/TC algorithm 206A and VSC algorithm 206B is provided.
  • Transfer signal 272 for load and load transfer is provided to the VSC algoritlim 206B.
  • Transfer signal 273 from the signal processor 204 is provided to the VSC algorithm 206B.
  • Transfer signal 274 for the surface and mismatch tire detector is provided to the VSC algoritlim 206B.
  • Transfer signal 275 is provided from the VSC algorithm 206B to the suspension algorithm 234.
  • Output signal 276 is sent from the VSC algorithm 206B to the HCU 228.
  • relative velocity can be calculated from suspension displacement if it is not directly measured.
  • a vehicle load and load transfer signal 154, 254 can also be calculated or enhanced from a lateral acceleration signal 114, a longitudinal acceleration signal 118, and a steering wheel angle signal 122 when these are available.
  • a load and load transfer signal 154, 254 is used by the braking algorithms to enhance braking torque proportioning and apply and dump pulse calculations.
  • a turning detector signal 156, 256 (roll moment distribution) can be used to optimize vehicle handling before VSC activation and enhance brake torque distribution calculation during VSC activation.
  • a road surface roughness and tire mismatching signal 158, 258 can be detected from suspension states and used by ABS/TC and VSC systems.
  • Braking/traction status information from the wheels can also be used to enhance braking algorithms by predicting pitch and roll motion in advance.
  • Suspension algorithms and braking algorithms can be embodied in separate ECU's 102 and 130 as illustrated in Figure 6. In other embodiments, the suspension and braking algorithms can be integrated into a single electronic control unit.
  • steering wheel angle signal 122, 222 and/or a lateral acceleration signal 114, 214 are available, then split mu detection in ABS and TC algorithms (for stand alone ABS and TC systems) can be improved.
  • ECU 102 can only receive information from ECU 130.
  • various input signals from the suspension system can be transferred to the braking system, but no signals are transferred from the braking system to the suspension system.
  • ECU 130 can only receive information from ECU 102.
  • various input signals from the braking system can be transferred to the suspension system, but no signals are transferred from the suspension system to the braking system.
  • a third embodiment of a control system for controlling vehicular braking and suspension functions is indicated generally at 300 in Figure 8.
  • a single ECU 302 receives inputs signals 304 from various sensors 306 strategically placed in a vehicle.
  • a signal processor 308 may be inco ⁇ orated in the ECU 302 that delivers transfer signals 310 to an algorithm 312.
  • the algorithm 312 delivers output signals 314 to a HCU 328 to provide a desired brake response.
  • the algorithm 312 also delivers output signals 316 to actuators 350 to provide a desired suspension response.
  • Control system 300 may be referred to as a totally integrated system for controlling vehicular braking and suspension.

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  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Transportation (AREA)
  • Automation & Control Theory (AREA)
  • Physics & Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Vehicle Body Suspensions (AREA)
  • Regulating Braking Force (AREA)

Abstract

The measurement lateral acceleration of a vehicle is compensated for the gravity component introduced in accelerometer measurements resulting from a banked road and/or vehicle rolling motion. In yaw stability control systems, performance does not have to be desensitized to prevent false activations for banked turns, for example. In addition, the present invention provides an estimate of bank angle which can be used in other control systems (such as the active suspension system ) to improve their performance. By comparing an estimated horizontal lateral acceleration based on overall vehicle dynamics (i.e., not using the accelerometer) with the measured lateral acceleration in the plane of the vehicle, the displacement angle of the vehicle plane (i.e., measurement plane) to horizontal is estimated. The displacement angle is used to determine the road bank angle and/or the lateral acceleration in the road plane.

Description

LATERAL ACCELERATION SENSOR COMPENSATION FOR AN INCLINED MEASUREMENT PLANE
BACKGROUND OF THE INVENTION
This invention relates in general to electronically-controlled vehicular active braking and suspension systems. In particular, this invention is concerned with providing compensation for measurement errors in lateral acceleration sensors when the measurement plane of the sensor is inclined with respect to the road surface, such as in a banked turn or when the vehicle has a rolling motion.
Electronically-controlled vehicular braking systems can include anti-lock braking (ABS), traction control (TC), and yaw stability control (YSC) functions. These three function can be combined into a vehicle stability control (NSC) system. In such braking systems, sensors deliver input signals to an electronic control unit (ECU). The ECU sends output signals to electrically activated devices to apply, hold, and dump (relieve) pressure at wheel brakes of a vehicle. Electrically activated valves and pumps are typically used to control fluid pressure at the wheel brakes. Such valves and pumps can be mounted in a hydraulic control unit (HCU). The valves can include two-state (on/off or off/on) solenoid valves and proportional valves.
Electronically-controlled suspension systems can include semi-active suspension systems and active suspension systems to provide active damping for a vehicle. In such suspension systems, sensors deliver input signals to an electronic control unit (ECU). The ECU sends output signals to electrically activated devices to control the damping rate of the vehicle. Such devices include actuators to control fluid flow and pressure. The actuators typically include electrically activated valves such as two-state digital valves and proportional valves.
Most YSC systems include a lateral accelerometer mounted on the vehicle which measures acceleration in the plane of the vehicle body or frame. The accelerometer output corresponds to the sum of components of all accelerations in its measurement plane. The lateral acceleration measurement is used together with other sensor information (e.g., steering angle and yaw rate) to determine vehicle sideslip which may then be controlled in a desired manner for YSC operation. For a vehicle with no roll motion on a flat road surface, the lateral acceleration measurement has good accuracy. Any roll motion or traveling on a banked road surface, however, can combine to cause the measurement plane of the accelerometer to become inclined with respect to the road surface plane, thereby resulting in a discrepancy between the measured lateral acceleration and the actual lateral acceleration in the road plane. This error can be undesirable because typical YSC control strategies depend upon aknowledge of lateral acceleration in the road plane. For many YSC systems, the vehicle models are based upon planar dynamics (i.e., a rigid, non-suspended body on a flat plane) which do not include vehicle roll or travel on a banked surface. When a vehicle is on a banked road surface (such as a curve) or when the vehicle body rolls significantly, gravity is no longer perpendicular to the accelerometer' s measurement plane. This adds in a gravitational component which causes errors in the sideslip calculations and could lead to false activations of the YSC system. The existing way of overcoming this problem is to reduce the sensitivity (degrade the performance) of a YSC system over all conditions - whether the vehicle rolls, is on a banked curve, or a curve with neither.
SUMMARY OF THE INVENTION
The present invention advantageously compensates for the gravity component (due to a banked road and/or a vehicle roll motion) so that measured acceleration is corrected before being used by the YSC system. YSC performance does not have to be desensitized to prevent false activations for banked turns, for example. In addition, the present invention provides an estimate of bank angle which can be used in other control systems (such as the active suspension system) to improve their performance.
In one aspect of the invention, a method of determining road-plane lateral acceleration in a vehicle having a suspension sensor and an accelerometer comprises measuring a roll angle in response to the suspension sensor. A vehicle-plane lateral acceleration is measured in response to the accelerometer. Horizontal lateral acceleration is estimated independently of the accelerometer. An estimated bank angle is determined in response to a relationship between the roll angle, the measured vehicle-plane lateral acceleration, and the estimated horizontal lateral acceleration. The road-plane lateral acceleration is determined in response to the estimated bank angle and the measured vehicle-plane lateral acceleration.
Various objects and advantages of this invention will become apparent to those skilled in the art from the following detailed description of the preferred embodiment, when read in light of the accompanying drawings. BRIEF DESCRIPTION OF THE DRAWINGS
Figure 1 is a schematic diagram defining various angles for a vehicle with roll on a banked surface. Figure 2 is a plot showing the relationship of acceleration vectors for the vehicle of Figure 1.
Figure 3 is a flowchart of a preferred embodiment of the invention for estimating the bank angle of an inclined road surface and determining a road-plane lateral acceleration. Figure 4 is a block diagram showing one preferred embodiment for determining an estimated horizontal lateral acceleration.
Figure 5 is a schematic diagram of a first embodiment of an integrated vehicular control system for implementing the present invention.
Figure 6 is a schematic diagram of a second embodiment of an integrated vehicular control system for implementing the present invention.
Figure 7 is a schematic diagram of a third embodiment of an integrated vehicular control system for implementing the present invention.
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
Referring to Figure 1, an automotive vehicle includes a body or frame portion 10 connected by a suspension (not shown in Figure 1) to a pair of front wheels 11 and 12. An accelerometer 13 is mounted on body portion 10, preferably at or close to the center of gravity of the vehicle. The suspension associated with each wheel has respective height sensors 14 and 15 providing respective height measurements xj and 2- The vehicle has a track width W between wheels 11 and 12.
The vehicle travels on a road surface shown as banked at an inclined plane 20 with respect to horizontal plane 21. The incline angle is referred to as bank angle θ. In addition, the vehicle is shown with roll in a roll plane 22 inclined to the road surface at a roll angle a. The roll plane or measurement plane of the vehicle makes a displacement angle φ with respect to horizontal plane 21.
Figure 2 shows the relationship of acceleration vectors for the vehicle of Figure 1. The two sources of acceleration are the actual lateral acceleration ay- acting in the horizontal plane and gravity g acting in the vertical plane. The accelerometer responds to components of these accelerations projected into its measurement plane 22. Specifically, a gravity component 23 and an ay- component 24 are projected into plane 22. Their vector sum results in a measured lateral acceleration am. However, what is really desired for purposes of YSC functions is a control-plane or vehicle-plane lateral acceleration a„ which is a projection of the ay- component into road plane 20 (with no contribution from the gravity component). On a flat road surface with no vehicle roll, measured lateral acceleration am should equal ay- . Any difference between am and ay is a reflection of the displacement angle between the measurement plane and horizontal (i.e., the sum of the bank angle and the roll angle). The present invention compares measured lateral acceleration am with an estimated value of ay determined independently of the accelerometer measurement in order to determine the angle of the measurement plane. Once the angle of the measurement plane is known, the ay component of the measured lateral acceleration am in the horizontal plane can be determined. Since the angle of the measurement plane and the roll angle are known, the ay component can be projected into the road plane and the value of vehicle-plane lateral acceleration a„ is determined. Furthermore, the intermediate determination of the bank angle is useful in its own right for many other control purposes.
Resolving the main acceleration vectors into the measurement plane gives am = g sin φ + ay cos φ . Eq. 1
Using an estimated value for fly (determined, for example, by modeling fly as a function of yaw rate and slip rate as described in connection with Figure 4 below), and taking a value of 1 as an approximation of cos φ, Equation 1 is solved for φ as follows:
Figure imgf000007_0001
Roll angle is determined in this example from suspension height measurements:
a = arctan X\ X2 Eq. 3 v W
The relationship between measurement (or displacement) angle φ, roll angle a, and bank angle (9 is: θ = φ + a Eq. 4
Combining Equations 2, 3, and 4 yields:
θ = Eq. 5
Figure imgf000007_0002
Thus, an estimated bank angle is determined in response to measured lateral acceleration, estimated lateral acceleration, and measured roll angle. Since the displacement of the measurement plane rarely would exceed about 20°, the approximation of cos φ being equal to 1 is good to within about 94% and the value for bank angle #is an excellent approximation. Now that a value for φ is available, Equation 1 can be solved for an actual value of fly as follo wwss: am -gsinφ y = '" * ^ Eq. 6 cos φ
This actual value is projected into the road plane as follows: ap = ay cosθ Eq. 7
Combining Equations 3, 4, 6 and 7 yields:
Figure imgf000008_0001
In terms of θ and α, Equation 8 can be rewritten as:
Figure imgf000008_0002
Thus, a lateral acceleration value is obtained within the reference frame of the YSC vehicle models.
The present invention can be used to determine bank angle under all conditions and not just while in a turn. When traveling straight on a banked or crowned road surface, estimated lateral acceleration would be zero but acceleration of gravity would create a nonzero lateral acceleration measurement in the accelerometer. The difference can be used to give an estimate of bank angle.
Preferred methods of the invention will be summarized with reference to the flowchart of Figure 3. In step 25, the vehicle roll angle α is measured based on information from one or more sensors in the suspension system. For example, strut height sensors can be used together with Equation 3. In step 26, the vehicle-plane lateral acceleration is measured. Horizontal lateral acceleration is estimated in step 27 based upon other information available to the vehicle control system. In step 28, bank angle may be determined as a function of roll angle, measured vehicle-plane acceleration, and estimated horizontal lateral acceleration. Road-plane lateral acceleration is determined as a function of bank angle and measured vehicle-plane lateral acceleration in step 29. If a value of the bank angle is not desired for any other purpose, then step 28 may alternatively determine just the displacement angle φ and step 29 determines road-plane lateral acceleration using terms of displacement angle and roll angle. In either case, the road-plane lateral acceleration is provided to a YSC algorithm for controlling vehicle stability, for example. It may be desirable to pass the value of the bank angle to the YSC algorithm as well. Figure 4 shows a preferred method of estimating horizontal lateral acceleration using a "bicycle" model 30. A steering angle signal δ from a steering angle sensing circuit (not shown) and a vehicle speed signal V from a speed sensing circuit (e.g., including wheel rotation sensors) are provided to bicycle model 30. Bicycle model 30 is of a known type for relating various vehicle performance characteristics and for purposes of the present invention is set up to generate an estimated lateral acceleration est{ay) in response to V and δ. Bicycle model 30 may, for example, model lateral acceleration based on yaw rate and slip rate according to
the equation a = V ( r + β * \ , where r is yaw rate and β is slip rate. ) Other methods of estimating lateral acceleration are known and could equally well be used in the present invention. Furthermore, the present invention is applicable to vehicle operation on a flat road as well as on a road having an adverse or opposite camber. Several embodiments of integrated suspension and active braking systems will be described with reference to Figures 5-7. These systems are particularly well suited for implementing the present invention.
A first embodiment of a vehicular control system according to the present invention is indicated generally at 100 in Figure 6. The control system 100 is particularly adapted to control fluid pressure in an electronically-controlled vehicular braking system and an electronically-controlled vehicular suspension system. The braking system can include anti-lock braking, traction control, and yaw stability control functions. The suspension system can include active damping functions.
The control system 100 includes a first electronic control unit (ECU) 102. The first ECU 102 includes a signal processor 104 and a braking algorithm 106. Various sensors 108 strategically placed in a vehicle deliver input signals 110 to the signal processor 104. Specifically, a lateral acceleration sensor 112 delivers an input signal 114 to the signal processor 104. A longitudinal acceleration sensor 115 delivers an input signal 116 to the signal processor 104. A steering wheel sensor 117 delivers an input signal 118 to the signal processor 104. A yaw rate sensor 120 delivers an input signal 122 to the signal processor 104. Depending upon the braking functions of the braking system, some of the above-listed sensors and their associated input signals may be deleted and others may be added. For example, a braking system that provides only ABS and TC functions may not require some of the above-listed sensors.
The signal processor 104 delivers transfer signals 124 to the braking algorithm 106. The braking algorithm 106 delivers output signals 126 to a hydraulic control unit (HCU) 128. The HCU 128 can include electromechanical components such as solenoid and/or proportional valves and pumps (not illustrated). The HCU 128 is hydraulically connected to wheel brakes and a source of brake fluid, neither of which is illustrated.
The control system 100 also includes a second ECU 130. The second ECU 130 includes a signal processor 132 and a suspension algorithm 134. Various sensors 135 strategically placed in a vehicle deliver input signals 136 to the signal processor 132. Specifically, a suspension state sensor 137 delivers an input signal 138 to the signal processor 132. A suspension displacement sensor 139 delivers an input signal 140 to the signal processor 132. A relative velocity sensor 141 delivers an input signal 142 to the signal processor 132. An upsprung mass acceleration sensor 143 delivers an input signal 144 to the signal processor 132. Depending upon the performance requirements of suspension system, some of the above-listed sensors may be deleted and others may be included.
The second signal processor 132 delivers transfer signals 145 to the suspension algorithm 134. The first signal processor 104 delivers transfer signals 146 to the suspension algorithm 134. The suspension algorithm 134 delivers output signals 148 to suspension actuators 150, only one of which is illustrated. The actuators 150 are electrically controlled devices such as dampers that vary and control a damping rate of a vehicle. An actuator 150 can include electromechanical components such as solenoid and proportional valves.
Information from the vehicular braking system can be shared with the vehicular suspension system. For example, ECU 102 can direct information to ECU 130. One example of transferred information from the braking system to the suspension system is the transfer signal 146 from signal processor 104 to suspension algorithm 134. A second example of transferred information from the braking system to the suspension system is indicated by transfer signal 152, wherein information from the braking algorithm 106 is directed to the suspension algorithm 134.
Information from the suspension system can also be shared with the braking system. For example, ECU 130 can direct information to ECU 102. One example of transferred information from the suspension system to the braking system is a transfer signal 154 to a load and load transfer detector 155. Another example is a transfer signal 156 to a turning detector 157. Yet another example is a transfer signal 158 for surface and mismatch tire detector 159. The control system 100 can be configured in various manners to share information from ECU 102 to ECU 130, and vice versa. In one example, an ECU 102 for the braking system that receives inputs signals 114, 116, 118 and 122, for lateral acceleration, longitudinal acceleration, steering wheel angle, and yaw rate, respectively, can transfer these input signals to ECU 130 for the suspension system. The signal processor 104 of ECU 102 can send transfer signal 146 to the suspension algorithm 134.
In another example, if lateral acceleration and steering wheel angle signals 114 and 122 are not available to the braking system, a turning detector signal can be generated by ECU 130 and transmitted to ECU 102 to improve braking performance. If an electronically controlled suspension system is integrated with an electronically controlled ABS/TC braking system, turning of the vehicle can be detected by the suspension system, thereby generating a turning detector signal that is transmitted to a braking system that does not receive signals from lateral acceleration and steering wheel angle sensors. A turn detection signal to the braking system via ECU 102 can enhance braking performance, particularly during braking- in-turn and accelerating-in-turn.
A second embodiment of a control system for controlling vehicular braking and suspension functions is indicated generally at 200 in Figure 7. Elements of control system 200 that are similar to elements of control system 100 are labeled with like reference numerals in the 200 series.
Control system 200 also includes an ABS/TC algorithm 206A and a VSC algorithm 206B in place of the braking algorithm 106 of control system 100. Signal processors 204 and 232 may be placed separately from their respective algorithms 206A, 206B, and 230, or they may be located in common ECU's (not illustrated in Figure 7). Transfer signal 270 between ABS/TC algorithm 206A and VSC algorithm 206B is provided. Transfer signal 272 for load and load transfer is provided to the VSC algoritlim 206B. Transfer signal 273 from the signal processor 204 is provided to the VSC algorithm 206B. Transfer signal 274 for the surface and mismatch tire detector is provided to the VSC algoritlim 206B. Transfer signal 275 is provided from the VSC algorithm 206B to the suspension algorithm 234. Output signal 276 is sent from the VSC algorithm 206B to the HCU 228.
Various calculations can be made for the suspension system. For example, relative velocity can be calculated from suspension displacement if it is not directly measured. A vehicle load and load transfer signal 154, 254 can also be calculated or enhanced from a lateral acceleration signal 114, a longitudinal acceleration signal 118, and a steering wheel angle signal 122 when these are available.
A load and load transfer signal 154, 254 is used by the braking algorithms to enhance braking torque proportioning and apply and dump pulse calculations. A turning detector signal 156, 256 (roll moment distribution) can be used to optimize vehicle handling before VSC activation and enhance brake torque distribution calculation during VSC activation.
A road surface roughness and tire mismatching signal 158, 258 can be detected from suspension states and used by ABS/TC and VSC systems.
Braking/traction status information from the wheels can also be used to enhance braking algorithms by predicting pitch and roll motion in advance.
Suspension algorithms and braking algorithms can be embodied in separate ECU's 102 and 130 as illustrated in Figure 6. In other embodiments, the suspension and braking algorithms can be integrated into a single electronic control unit.
If steering wheel angle signal 122, 222 and/or a lateral acceleration signal 114, 214 are available, then split mu detection in ABS and TC algorithms (for stand alone ABS and TC systems) can be improved.
In other examples, ECU 102 can only receive information from ECU 130. Thus, various input signals from the suspension system can be transferred to the braking system, but no signals are transferred from the braking system to the suspension system.
In yet other examples, ECU 130 can only receive information from ECU 102. Thus, various input signals from the braking system can be transferred to the suspension system, but no signals are transferred from the suspension system to the braking system.
A third embodiment of a control system for controlling vehicular braking and suspension functions is indicated generally at 300 in Figure 8. In control system 300, a single ECU 302 receives inputs signals 304 from various sensors 306 strategically placed in a vehicle. A signal processor 308 may be incoφorated in the ECU 302 that delivers transfer signals 310 to an algorithm 312. The algorithm 312 delivers output signals 314 to a HCU 328 to provide a desired brake response. The algorithm 312 also delivers output signals 316 to actuators 350 to provide a desired suspension response. Control system 300 may be referred to as a totally integrated system for controlling vehicular braking and suspension.
In accordance with the provisions of the patent statutes, the principle and mode of operation of this invention have been explained and illustrated in its preferred embodiment. However, it must be understood that this invention may be practiced otherwise than as specifically explained and illustrated without departing from its spirit or scope.

Claims

CLAIMSWhat is claimed is:
1. A method of determining the lateral acceleration of a vehicle comprising the steps of: measuring the lateral acceleration of the vehicle to generate a measured lateral acceleration signal, said measured lateral acceleration signal having a value different than the actual lateral acceleration of the vehicle; measuring at least one suspension operating characteristic of a portion of the vehicle suspension system, said operating characteristic at least in part representative of the roll tendency of the vehicle; and determining a corrected lateral acceleration value as function of the measured lateral acceleration value and said one suspension operating characteristic.
2. The method according to claim 1 and further including the step of utilizing said modified lateral acceleration value in a braking control algorithm operable in at least one of a plurality of states including anti-lock control, traction control, and yaw stability control in order to enhance the braking, traction or stability characteristics of the vehicle.
3. The method according to claim 1 and further including the step of using said corrected lateral acceleration value in a suspension control algorithm to enhance the ride quality or handling of the vehicle.
4. A method of estimating a bank angle in a vehicle having a suspension sensor and an accelerometer, said method comprising the steps of: measuring a roll angle in response to said suspension sensor; measuring a vehicle-plane lateral acceleration in response to said accelerometer; estimating horizontal lateral acceleration independently of said accelerometer; and determining an estimated bank angle in response to a relationship between said roll angle, said measured vehicle-plane lateral acceleration, and said estimated horizontal lateral acceleration.
5. The method of claim 4 wherein said relationship is comprised of:
Figure imgf000017_0001
where #is said bank angle, a is said roll angle, estψ ) is said estimated horizontal lateral acceleration, am is said measured vehicle-plane lateral acceleration, and g is a gravitational constant.
6. The method of claim 4 wherein said estimated horizontal lateral acceleration is determined in response to a measured vehicle speed and a measured steering angle.
7. The method of claim 4 wherein said suspension sensor is comprised of height sensors on opposite lateral sides of said vehicle.
8. A method of determining road-plane lateral acceleration in a vehicle having an accelerometer, said method comprising the steps of: measuring a vehicle-plane lateral acceleration in response to said accelerometer; estimating horizontal lateral acceleration independently of said accelerometer; determining an estimated displacement angle in response to a relationship between said measured vehicle-plane lateral acceleration and said estimated horizontal lateral acceleration; and determining said road-plane lateral acceleration in response to said estimated displacement angle and said measured vehicle-plane lateral acceleration.
9. The method of claim 8 wherein said estimated displacement angle is determined according to a formula substantially equal to:
=
Figure imgf000018_0001
where φ is said displacement angle, est[ay ) is said estimated horizontal lateral acceleration, am is said measured vehicle-plane lateral acceleration, and g is a gravitational constant.
10. The method of claim 8 wherein said displacement angle is comprised of a roll angle and a bank angle, and wherein said vehicle has a suspension sensor for measuring said roll angle.
11. The method of claim 10 wherein said road-plane lateral acceleration is determined according to a formula substantially equal to: am -gsinφ f , a = '" & -cos(φ + a) cos where a„ is said road-plane lateral acceleration, am is said measured vehicle- plane lateral acceleration, φ is said displacement angle, a is said roll angle, and g is a gravitational constant.
12. A method of deteπnining road-plane lateral acceleration in a vehicle having a suspension sensor and an accelerometer, said method comprising the steps of: measuring a roll angle in response to said suspension sensor; measuring a vehicle-plane lateral acceleration in response to said accelerometer; estimating horizontal lateral acceleration independently of said accelerometer; determining an estimated bank angle in response to a relationship between said roll angle, said measured vehicle-plane lateral acceleration, and said estimated horizontal lateral acceleration; and determining said road-plane lateral acceleration in response to said estimated bank angle and said measured vehicle-plane lateral acceleration.
13. The method of claim 12 wherein said relationship is comprised of:
Figure imgf000019_0001
where θ is said bank angle, is said roll angle, es t[a ) is said estimated horizontal lateral acceleration, am is said measured vehicle-plane lateral acceleration, and g is a gravitational constant.
14. The method of claim 12 wherein said road-plane lateral acceleration is determined according to a formula substantially equal to:
Figure imgf000020_0001
where a„ is said road-plane lateral acceleration, am is said measured vehicle- plane lateral acceleration,
Figure imgf000020_0002
said bank angle, a is said roll angle, and g is a gravitational constant.
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