Control of Vehicle Side Slip Using Yaw Rate

The invention relates to a method of controlling vehicle stability by determining a required yaw velocity .omega..sub.so11 based on a steady state required yaw rate .omega..sub.so110. A method for determining .omega..sub.so110 is disclosed in DE 42 29 504, to which U.S. Ser. No. 08/090,837 corresponds. The subject matter of the latter is based on DE 37 31 756, to which U.S. Pat. No. 5,332,300 corresponds.

The wish of the driver for a change of direction, as well as that for vehicle acceleration or deceleration, is taken into account and weighted. The required value is calculated in such a way that the vehicle reacts rapidly to steering angle changes and then maintains a stable condition which depends on the adhesion coefficient of the road and in which the sideslip angle does not increase further.

The following advantages are achieved by the invention and by the further developments in accordance with the preferred embodiments:

The driver's wish is taken into account in the distribution, of the total available tire force, between longitudinal force and transverse force using v.sub.F, .delta., P.sub.vor, F.sub.ges ;

Calculation of a limit, to ensure vehicle stability, for the required yaw rate with a.sub.Q and v.sub.F ;

Filtering the required yaw rate value for matching to the vehicle's intrinsic dynamics of motion or to change in the vehicle dynamics of motion;

Supporting the incidence motion of the vehicle when the steering angle is increased in order to build up side force more rapidly.

In systems for controlling the dynamics of vehicle motion in order to improve the controllability of the vehicle, it is necessary to fix the parameters to be controlled and then to determine suitable required values for these parameters.

If the vehicle motion is considered in one plane (roadway) and not in three dimensions, the vehicle then has three degrees of freedom, namely longitudinal velocity and transverse velocity and the rotational velocity about the vertical axis (yaw rate). The yaw rate has been found to be a particularly suitable control parameter because it can be measured directly by means of sensors and can be effectively controlled by changing the wheel slip values or the slip angle and, therefore, by the application of yaw moments. The transverse velocity of the vehicle cannot be measured accurately. It can, however, be estimated by a control algorithm (observer) when the yaw rate is known.

The following computational operations are carried out to calculate the required yaw rate value .omega..sub.so11 :

A steady-state required yaw rate, which depends on the steering angle .delta. and on the vehicle longitudinal velocity v.sub.F, is calculated first. ##EQU1##

In this, v.sub.ch is the characteristic vehicle speed with which the amount of the understeer tendency can be fixed, also if need be as a function of the driving condition (driven, freely rolling, braked).

In the case of steady-state travel in a circle, a desired side force F.sub.S,W can now be calculated from the required steady state yaw rate:

with the vehicle mass m

The desired longitudinal force F.sub.L,W can be calculated, depending on the accelerator pedal position or brake pedal position, from the measured quantities of admission (master cylinder) pressure P.sub.vor or throttle butterfly angle .alpha..sub.DK. In this, it is assumed that the braking wish or the drive wish corresponds to that for undisturbed straight-line travel at a high coefficient of friction.

The total force desired by the driver can therefore be calculated as a vector sum. ##EQU2##

This desired force is now placed in a relationship with the maximum available force.

The resultant tire forces Fr.sub.i at the individual wheels are known (for example, in accordance with DE 40 30 704-A1) which corresponds to U.S. Ser. No. 07/859,438. The maximum available total force can then be estimated from the sum of all the tire forces. It is achieved when all the force directions are parallel. ##EQU3##

The total longitudinal force F.sub.L and the total transverse force F.sub.Q which act on the vehicle by means of the tires are known, for example, from knowledge of the longitudinal and transverse accelerations and vehicle mass. The total force can then be calculated as follows: ##EQU4##

The ratio of the available total force to the desired total force is, therefore: ##EQU5##

The ratio x is less than or equal to one. ##EQU6##

The required value .omega..sub.so11 for the yaw rate is then given by the steady state required yaw rate .omega..sub.so110 multiplied by the factor x.

This means that if the yaw motion desired by the driver does not exceed the available total force, this required yaw rate is then accepted as the required value for the vehicle motion dynamics control system.

If, however, the available force F.sub.ges is not sufficient to achieve the desired change in motion simultaneously in the longitudinal and transverse directions, the required yaw rate .omega..sub.so11 is then correspondingly reduced by the factor x. Should that not occur, the vehicle could start to skid as a consequence of continually increasing sideslip angle.

If, although the desired side force has to be reduced, it is relatively small in comparison with the desired longitudinal force, a reduction which takes place linearly with the factor x can lead to poor vehicle controllability. It is then better to take greater account of the desired side force, i.e. to raise the factor x.

The method described up to now for calculating the required value is particularly suitable where the tires are at saturation point, i.e., for example, in the case of full braking actions (ABS braking actions).

A further possibility for fixing the required yaw rate value, particularly where there is no wish for deceleration present, is to limit the raw steady state value .omega..sub.so110 to a value which depends on the instantaneous vehicle transverse acceleration. For this purpose, a required value limitation .omega..sub.B is calculated

with the transverse acceleration a.sub.Q .omega..sub.B is the value for the yaw rate at which, in the case of travel around a curve at constant vehicle velocity, the value of the sideslip angle is constant and, therefore, the vehicle remains stable.

In the case of a reduction in steering angles, the yaw rate .omega. does not take place in phase with the steering angle due to the vehicle's intrinsic dynamics of motion but with a certain delay. In order to avoid unnecessary intervention by the vehicle motion dynamics control system in such and similar situations (slalom), phase matching between the actual value .omega. and the required value .omega..sub.so11 can be achieved by suitable low-pass filtering of the required yaw rate value. The filter parameters can depend on the vehicle condition, possibly supported by a model.

One example in discrete time embodiment is presented below:

where .omega..sub.so11,f (k) is the filtered value at time k with filter coefficient 0<F<1

It is, however, also possible to match the vehicle's intrinsic dynamics of motion, which may be unsatisfactory, to a desired behavior by means of such filtering. This is done by the vehicle motion dynamics control system appropriately changing the yaw rate by means of appropriate actions at the wheels.

In some situations, particularly in the case of an increase in the steering angle, it can be desirable to make the vehicle reaction as rapid as possible and, furthermore, to increase the yaw rate .omega. above the steady-state required value .omega..sub.so110 in order to achieve a certain vehicle incidence (float angle). This increase .omega..sub.Anstell in the float angle is necessary in order to set to the slip angle at the tires which is necessary for the desired side force. This can be achieved by feeding the required yaw rate .omega..sub.so11 through a differentiating filter (DT filter) in the case of an increase in steering angle and by adding the output from this filter, with suitable amplification, to the original required value.

Example (discrete time):

where

with weighting factor V<1

An embodiment example of the invention is represented in the form of a block circuit diagram in the drawing. Realization by means of a correspondingly programmed microprocessor is also, of course, possible.

The signals from a steering angle sensor 1 and a vehicle velocity simulator 3 are supplied to a block 8 for forming .omega..sub.so110. The constants L, V.sub.ch and K are also supplied to this block 8. The .omega..sub.so110 signal is then supplied to a limiter 12 which limits the .omega..sub.so110 signal to the limiting value .omega..sub.B =a.sub.Q /v.sub.F formed (from Blocks 2 and 3) in a block 9. The output signal from Block 12 then passes to a low-pass filter 14 for the purpose of phase matching. Its output signal normally passes to a block 18 in which .omega..sub.so11 is formed. If, however, the magnitude of the steering angle increases, which is determined in a block 22 (ds/dt>0), a differentiating filter 16 becomes effective and this forms an increase signal .omega..sub.Anstell which is superimposed on the .omega..sub.so110 value in an adding stage 17. The factor x is required for forming .omega..sub.so11. In order to form it, the desired longitudinal force F.sub.L,W is formed in a block 10 as a function of throttle .alpha..sub.DR or brake pressure P.sub.vor, the desired side force F.sub.S,W is formed in a block 11 from .omega..sub.so110, and the desired total force F.sub.ges,W is formed in a block 13 from the forces F.sub.S,W and F.sub.L,W. The actual total force F.sub.ges is determined in a known manner in a block 6. From the forces F.sub.ges and F.sub.ges,W, their ratio x is then formed in a block 15 and .omega..sub.so110 is multiplied by the ratio x in the multiplier 18. The required yaw rate value .omega..sub.so11 obtained and the actual yaw rate value .omega. measured in a sensor 7 are supplied to a controller 19 which activates the brake pressure control valves 20 and 21 (only one wheel shown) in the sense of generating an additional yaw moment, in order to match the actual value .omega..sub.so11 to the required value.