The present invention relates generally to a control apparatus for controlling a system of an automotive vehicle in response to sensed dynamic behavior and, more specifically, to a method and apparatus for controlling the system of the automotive vehicle by determining an attitude of the vehicle.
In recent years, many vehicle control systems have been developed to enhance vehicle stability and tracking performance in critical dynamic situations. Such vehicle control systems include yaw stability control (YSC) systems, roll stability control (RSC) systems, integrated vehicle dynamic control systems, and others. In these systems, knowledge of the vehicle roll and pitch attitude is very important. For example, in yaw stability control systems, the effect of vehicle body roll and pitch, as well as the dynamically changing road super-elevations and road grades, is significant because it directly influences both the vehicle lateral dynamics and lateral acceleration measurements. In roll stability control systems, roll angle is one of the most important variables used to construct feedback pressure command and combat the detected roll instability. Hence, a successful vehicle dynamics control must involve an accurate determination of the vehicle roll and pitch attitude. However, values of roll and pitch are not directly measured on production vehicles and therefore must be estimated instead.
When actively controlling a vehicle's motion using systems such as the braking system, it is important to accurately estimate the state and attitudes of the vehicle. Achieving an accurate sideslip estimate will provide the opportunity to control the vehicle's sideslip to an appropriate value. To those familiar with the art, it is known that sideslip is difficult to determine using inertial sensors due mainly to integration drift, which is caused by sensor offset and contamination of the lateral acceleration signal by gravity. To accurately account for the acceleration due to gravity, it is necessary to know the global roll angle. A roll rate sensor alone can give you an indication of global roll angle, but due to offsets in the roll rate sensor and inaccuracy in the pitch estimate, the error in the global roll angle can quickly accumulate. Therefore, it would be desirable to control this accumulation of error.
The present invention includes a method to control and account for the accumulation of error in the global roll estimate, and thereby allow for the same in the side slip estimate. This is done through the use of a roll rate sensor and leveraging properties of land vehicle tires. There are several areas in which the teaching of the present invention may be applied. One is for improving side slip estimation using a roll rate sensor. Another is for leveraging linear sideslip angle of the tire to correct for errors in the global roll angle. Yet another is for tire relaxation in the linear sideslip estimate, And yet another is for improving global pitch angle by using improved sideslip estimate. Still another is for accounting for errors in pitch, roll, and sideslip by using robust bounds on each signal.
In one aspect of the invention, a method of controlling a vehicle system comprises determining a vehicle roll rate, determining a lateral velocity of the vehicle in response to the roll rate, and controlling the vehicle system in response to the lateral velocity. It should be noted that the lateral velocity may be used in conjunction with a longitudinal velocity and the controlling may be performed in response to a side slip angle determined in response to the lateral velocity and the longitudinal velocity.
In a further aspect of the invention, a method of controlling a vehicle system includes determining an upper bound pitch angle and a lower bound pitch angle, determining an upper bound roll angle corresponding to the upper bound pitch angle and a lower bound pitch angle corresponding to the lower bound pitch angle. The method further includes determining a lower bound lateral velocity corresponding to the lower bound roll angle and an upper bound lateral velocity corresponding to the upper bound roll angle. The method further includes determining a linear lateral velocity of the vehicle and, when the lower bound lateral velocity is below the linear lateral velocity, adjusting the lower bound to the linear lateral velocity for an adjusted lower bound lateral velocity. In response to the adjusted lower bound lateral velocity, the vehicle system is controlled.
In yet another aspect of the invention, a system for controlling a vehicle system of an automotive vehicle comprises a roll rate sensor for generating a roll rate signal and also a controller coupled to the roll rate sensor. The controller determines a lateral velocity of the automotive vehicle in response to the roll rate signal. The controller also controls the vehicle system in response to the lateral velocity.
Other advantages and features of the present invention will become apparent when viewed in light of the detailed description of the preferred embodiment when taken in conjunction with the attached drawings and appended claims.
In the following figures the same reference numerals will be used to identify the same components.
The present invention may be used in conjunction with a rollover control system or a yaw control system for a vehicle. However, the present invention may also be used with a deployment device such as airbag or roll bar. The present invention will be discussed below in terms of preferred embodiments relating to an automotive vehicle moving in a three-dimensional road terrain.
Referring to
As mentioned above, the system may also be used with active/semi-active suspension systems, anti-roll bar or other safety devices deployed or activated upon sensing predetermined dynamic conditions of the vehicle.
The sensing system 16 is coupled to a control system 18. The sensing system 16 may use a standard yaw stability control sensor set (including lateral accelerometer, yaw rate sensor, steering angle sensor and wheel speed sensor) together with a roll rate sensor and a longitudinal accelerometer. The various sensors will be further described below. The wheel speed sensors 20 are mounted at each corner of the vehicle, and the rest of the sensors of sensing system 16 are preferably mounted directly on the center of gravity of the vehicle body, along the directions x,y and z shown in
The angular rate sensors and the accelerometers are mounted on the vehicle car body along the body frame directions b1, b2 and b3, which are the x-y-z axes of the vehicle's sprung mass.
The longitudinal acceleration sensor is mounted on the car body located at the center of gravity, with its sensing direction along b1-axis, whose output is denoted as ax. The lateral acceleration sensor is mounted on the car body located at the center of gravity, with its sensing direction along b2-axis, whose output is denoted as ay.
The other frame used in the following discussion includes the road frame, as depicted in
In the following discussion, the Euler angles of the body frame b1b2b3 with respect to the road frame r1r2r3 are denoted as θxbr, θybr and θzbr, which are also called the relative Euler angles.
Referring now to
In the preferred embodiment the sensors are located at the center of gravity of the vehicle. Those skilled in the art will recognize that the sensor may also be located off the center of gravity and translated equivalently thereto.
Lateral acceleration, roll orientation and speed may be obtained using a global positioning system (GPS). Based upon inputs from the sensors, controller 26 may control a safety device 44. Depending on the desired sensitivity of the system and various other factors, not all the sensors 28-38 may be used in a commercial embodiment. Safety device 44 is part of a vehicle subsystem control. Safety device 44 may control a passive safety device 46 such as an airbag or a steering actuator 48, a braking actuator 50 at one or more of the wheels 12a, 12b, 13a, 13b of the vehicle. Engine intervention 52 may act to reduce engine power to provide a safety function. Also, other vehicle components such as a suspension control 54 may be used to adjust the suspension to prevent rollover.
Roll rate sensor 34 may sense the roll condition of the vehicle based on sensing the height of one or more points on the vehicle relative to the road surface. Sensors that may be used to achieve this include a radar-based proximity sensor, a laser-based proximity sensor and a sonar-based proximity sensor.
Roll rate sensor 34 may also sense the roll condition based on sensing the linear or rotational relative displacement or displacement velocity of one or more of the suspension chassis components which may include a linear height or travel sensor, a rotary height or travel sensor, a wheel speed sensor used to look for a change in velocity, a steering wheel position sensor, a steering wheel velocity sensor and a driver heading command input from an electronic component that may include steer by wire using a hand wheel or joy stick.
The roll condition may also be sensed by sensing the force or torque associated with the loading condition of one or more suspension or chassis components including a pressure transducer in an act of air suspension, a shock absorber sensor such as a load cell, a strain gauge, the steering system absolute or relative motor load, the steering system pressure of the hydraulic lines, a tire laterally force sensor or sensors, a longitudinal tire force sensor, a vertical tire force sensor or a tire sidewall torsion sensor.
The roll condition of the vehicle may also be established by one or more of the following translational or rotational positions, velocities or accelerations of the vehicle including a roll gyro, the roll rate sensor 34, the yaw rate sensor 28, the lateral acceleration sensor 32, a vertical acceleration sensor, a vehicle longitudinal acceleration sensor, lateral or vertical speed sensor including a wheel-based speed sensor, a radar-based speed sensor, a sonar-based speed sensor, a laser-based speed sensor or an optical-based speed sensor.
Steering control 48 may control the position of the front right wheel actuator, the front left wheel actuator, the rear left wheel actuator, and the right rear wheel actuator. Although as described above, two or more of the actuators may be simultaneously controlled. For example, in a rack-and-pinion system, the two wheels coupled thereto are simultaneously controlled. Based on the inputs from sensors 28 through 38, controller 26 determines a roll condition and controls the steering position of the wheels.
Speed sensor 20 may be one of a variety of speed sensors known to those skilled in the art. For example, a suitable speed sensor may include a sensor at every wheel that is averaged by controller 26. Preferably, the controller translates the wheel speeds into the speed of the vehicle. Yaw rate, steering angle, wheel speed and possibly a slip angle estimate at each wheel may be translated back to the speed of the vehicle at the center of gravity. Various other algorithms are known to those skilled in the art. Speed may also be obtained from a transmission sensor. For example, if speed is determined while speeding up or braking around a corner, the lowest or highest wheel speed may not be used because of its error. Also, a transmission sensor may be used to determine vehicle speed.
Referring now to
During an event causing the vehicle to roll, the vehicle body is subject to a roll moment due to the coupling of the lateral tire force and the lateral acceleration applied to the center of gravity of vehicle body. This roll moment causes suspension height variation, which in turn results in a vehicle relative roll angle (also called chassis roll angle or suspension roll angle). The relative roll angle is an important variable that is used as an input to the activation criteria and to construct the feedback brake pressure command, since it captures the relative roll between the vehicle body and the axle. The sum of such a chassis roll angle and the roll angle between wheel axle and the road surface (called wheel departure angle) provides the roll angle between the vehicle body and the average road surface, which is one of the important variables feeding back to the roll stability control module.
The relative or chassis roll angle and the relative pitch angle can be calculated as in U.S. Pat. No. 6,556,908 using the lateral acceleration of the center of gravity of the vehicle body, the roll angular acceleration, and the roll angular velocity, together with vehicle-specific parameters such as the sprung mass, the vehicle body roll moment of inertia, the roll stiffness and damping ratio of the suspensions and the anti-roll-bars, and the distance between the center of gravity of the vehicle body and the floor of the vehicle body. The disclosure of U.S. Pat. No. 6,556,908 is hereby incorporated by reference.
Referring now to
Referring now to
The following description addresses the determination of a side slip angle used for controlling a system of the vehicle. The side slip angle is the arc tangent of the longitudinal velocity divided by the lateral velocity.
Referring now to
The following variables are used throughout this description:
Vx≡Longitudinal velocity calculated from the reference velocity module (from the wheel speed sensors)
The present invention is applicable to any sign combination of lateral velocity and roll angle, but for simplicity, this description is written for a vehicle in a right-hand turn (negative ωz and positive Vy) and a leftward bank angle (negative θx). For a turn in the opposite direction, similar calculations would be used, but Vymax would be used in place of Vymin.
Referring now to
The other variable needed for a side slip angle determination is the lateral velocity. The lateral velocity of a land vehicle can be calculated from the inertial sensor output and the previous vehicle state. In this embodiment, it can be estimated by integrating either equation 1 or 2.
dVy/dt=Ay−ωzVx−g cos θy sin θx (1)
or removing the less significant pitch term
dVy/dt≈Ay−ωzVx−g sin θx (2)
where θx can be found by integrating Equation (4),
dθx/dt=ωx+(ωz sin θx+ωz cos θx)tan θy (3)
removing the less significant terms, and using a small angle approximation,
dθx/dt=ωx+θyωz (4)
From Equation (4), the unknown is the global pitch angle θy is determined in step 124. The yaw rate ωz and roll rate are determined from the various sensors. To those skilled in the art, it is know that the instantaneous global pitch angle of a vehicle can be estimated using the following equation:
θy=arcsin((dVx−Ax−ωzVy)/g) (5)
The longitudinal acceleration, Ax, and the yaw rate, ωz, are trivial to determine since they are available sensor signals. Accurately determining the vehicle longitudinal acceleration, dVx, from the wheel speed sensors is desirable. However, if some error can be tolerated the wheel speed sensors alone may be used. A more accurate result is desirable and is sets forth below. That is, when actively controlling vehicle motion using systems such as the braking system, it is important to accurately estimate the state and attitude of the vehicle. The reference velocity is based off of raw wheel speeds and is an important part of the global pitch equation. The global pitch estimate becomes inaccurate during mid to high brake torque gradients because the wheels decelerate at a faster rate than the vehicle until the longitudinal slip ratio reaches equilibrium. The global pitch estimate becomes inaccurate during this transient period because the reference velocity follows the decelerating wheels instead of the actual deceleration of the vehicle.
The time derivative of the longitudinal velocity, dVx, can often be inaccurate due to brake and drive torque which creates longitudinal slip on the tires.
In order for a tire to produce a longitudinal force, it must have a longitudinal slip, Y. Defined as
Y≡(Vx−r·ω)/Vx (6)
Due to this tire property, a high brake torque gradient will cause the wheel speeds to decelerate faster than the vehicle, as shown in
This error in dVx will cause large errors in estimated global pitch angle. Patent application Ser. No. 10/710,248 filed Jun. 29, 2004, (that is incorporated by reference herein) describes an effective way to produce a reliable longitudinal velocity Vx signal. In order to create a dVx signal appropriate for use in the pitch equation, the Vx signal is modified to take into account this error caused by linear longitudinal slip.
The longitudinal force, Fx, on any given tire can be described the following equation.
Fx=CxYN (7)
Cx is a function of tire side slip angle, and can be approximated as follows:
Cx=CxNOM−Cx αα (8)
Where Cx α and CxNOM are constants based on tire properties. Combining Equations (7) and (8), Fx is a function of Normal force N, slip angle α, slip ratio γ, and two tire constants CxNOM and Cx α.
Fx=(CxNOM−Cx αα)·YN (9)
Solving for slip ratio
Y=Fx/(N·(CxNOM−Cxαα)) (10)
In a roll stability control system, everything on the right side of this equation is known, or can be determined empirically. Therefore, using this equation, an estimate of the slip ratio at each wheel may be determined. It is important to note that this equation describes the linear portion of the slip-force curve, and therefore will never overestimate the slip ratio.
Finally, correct the wheel speed for each wheel by using the definition of the slip ratio. Equation (11) is shown for the front left wheel. Each of the other wheels may be determined in a similar manner.
VxCORRECTED FL=r·ω/(1−Y) (11)
The vehicle reference velocity calculations as described in patent application Ser. No. 10/710,248 can then be performed using VxCORRECRED for each of the wheels, instead of the raw wheel speeds.
To summarize, when the applied wheel torque is small enough to allow a wheel to remain in its linear slip range, the wheel speed will be accurately corrected to the vehicle's actual speed. When the applied wheel torque causes more slip than predicted (i.e. Low mu), the corrected wheel speed will be closer to the actual vehicle speed than the raw wheel speed, but will not totally account the extreme slip ratio caused by the low mu.
Until this invention, the reference velocity of a vehicle has been based off of raw wheel speeds. Using this method it is possible to correct (at least, partially) the raw wheel speed for the theoretical longitudinal slip ratio. This so called, “corrected wheel speed”, should have a value closer to the actual longitudinal speed of the vehicle and therefore will provide the reference velocity calculation a more accurate indication of forward velocity.
Once the longitudinal velocity of the vehicle is known, Equation (5) can be used to determine the global pitch angle. This may in turn be used to determine the global roll angle in Equation (4). In step 126, the process is executed three times, once for each of θxmax, θxmin, and θxnom. The max and min values are maximum and minimum values corresponding to the sensor tolerances used in the determination of θy. The max and min values are determined from the nominal values plus or minus the tolerance. These values correspond to Vymin, Vymax, and Vynom from Equation (2). Since these Vy signals are from the inertial sensor information, they have no phase delay and can be considered the nominal lateral velocity and its robust bounds. All three values tend to drift over time due to uncertainties and offsets accumulated over the period of integration.
In step 128 a linear lateral velocity is determined. The linear lateral velocity (Vy-lin) is based on the tire properties described in
In equation form, and using a small angle approximation for arc tangent,
Vy-lin=Vx*RearCorneringCompliance*Ayrear_axle (12)
This relationship is valid for steady state conditions, however, in a dynamic situation, there is a delay between the build up of lateral velocity and the onset of lateral acceleration. This is referred to as the “tire relaxation.”
Due to the tire relaxation delay, it is not possible to compare the lateral velocity from the inertial measurements directly to the lateral velocity calculated from the tire properties. Therefore, the inertial lateral velocity is delayed using a first order filter which approximates the effects of the tire relaxation. This process produces Vyminlag which can be compared directly to Vylin. If Vylin is greater than Vyminlag, it is known that Vymin cannot be correct due to the tire property described in
ΔVymin=Vyminlag−Vylin (13)
Vymin2=Vymin1−ΔVymin (14)
The knowledge that Vymin is incorrect can provide input to the global roll calculation of Equation (4) in step 132. The three global roll angles θxmax, θxmin, and θxnom are calculated using the process described in patent application Ser. No. 10/752,741 filed Jan. 7, 2004, which is incorporated by reference herein, with the exception that the θxmax value can be corrected when it is determined that Vylin exceeds Vymin. This is because the primary source of uncertainty in Equation (2) is the global roll angle, it can be assumed that any error in Vymin can be attributed to an error in θxmax. Therefore, θxmax can be corrected appropriately whenever Vymin is corrected.
In the general form, ΔVymin is a complex function of the time history of roll error, speed, pitch error, and yaw rate. A simplifying assumption that global roll rate is constant over the interval for which Vymin is exceeded by Vylin is made. This allows for a relatively straight forward adjustment of θxmax based on ΔVymin using linear interpolation. Equation (15) completes this interpolation and
θxmax2=θxmax1−(θxmax−θxmin)·ΔVymin/(Vymax−Vymin) (15)
The example above illustrates one scenario where the uncertainties in lateral velocity and global roll angle are reduced. A second scenario occurs whenever Vylin makes a zero crossing. At that time Vymax will be corrected to Vylin (instead of Vymin being corrected). Therefore, any time there is a zero crossing, the uncertainties on lateral velocity and global roll angle will tend to collapse to very small values.
The global pitch angle module can benefit from an improved lateral velocity estimate. The difficulty with feeding the nominal lateral velocity back into the pitch calculation is that it is possible to create an unstable system. In order to remove that instability from the system, the minimum lateral velocity is feed back into pitch calculation. Even though minimum lateral velocity will still underestimate actual lateral velocity, it will provide an improvement to the pitch calculation over the using Vylin, which often drastically underestimates Vy.
In step 136 the adjusted lateral velocity and the longitudinal velocity are used to determine the side slip angle. In step 138 a vehicle system is controlled in response to the side slip angle. It should also be noted that various vehicle systems may be controlled in response to the adjusted lateral velocity, the adjusted roll angle, and the like. Also, it should be noted that various vehicle systems such as safety systems that include dynamic control systems which in themselves may include a yaw stability control or roll stability control systems may be controlled.
While the invention has been described in connection with one or more embodiments, it should be understood that the invention is not limited to those embodiments. On the contrary, the invention is intended to cover all alternatives, modifications, and equivalents, as may be included within the spirit and scope of the appended claims.
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