Active steering control based on piecewise affine regions

This paper shows that an active front steering control can be designed taking into account the nonlinear behaviour of the tire-road forces considering the vehicle dynamics with respect to the tire sideslip angle and by approximating the tire force characteristics by piecewise affine functions. The proposed control strategy involves the design of two control loops: the first one is a state feedback and it is designed to improve the vehicle dynamics using the pole placement techniques while the second control loop uses a PI control to ensure the tracking of constant yaw rate reference signal on the basis of the yaw rate tracking error despite constant disturbances and parameters uncertainties. Several simulations, including disturbances rejections and step references, are carried out on a standard CarSim D-Class vehicle model to explore the robustness with respect to unmodelled effects such as combined lateral and longitudinal tire forces, pitch, roll and driver dynamics. The simulations confirm that the proposed PWL control can greatly improve the vehicle stability and may be advantageous in very demanding manoeuvres in comparison with the use of the proposed controller designed for the linear region only.

[1]  Shun'ichi Doi,et al.  Bifurcation in vehicle dynamics and robust front wheel steering control , 1998, IEEE Trans. Control. Syst. Technol..

[2]  J. Ackermann,et al.  Robust control , 2002 .

[3]  Robin S. Sharp,et al.  OPTIMAL PREVIEW CAR STEERING CONTROL , 2001 .

[4]  Ali Charara,et al.  Embedded estimation of the tire/road forces and validation in a laboratory vehicle , 2008 .

[5]  M. Johansson,et al.  Piecewise Linear Control Systems , 2003 .

[6]  David J. Cole,et al.  Steering control using model predictive control and multiple internal models , 2006 .

[7]  Alberto Bemporad,et al.  A Hybrid Approach to Traction Control , 2001, HSCC.

[8]  Jürgen Ackermann.  Robust decoupling, ideal steering dynamics and yaw stabilization of 4WS cars , 1994, Autom..

[9]  B. Lusetti,et al.  Driver steering assistance for lane departure avoidance , 2009 .

[10]  Charles C. MacAdam,et al.  Application of an Optimal Preview Control for Simulation of Closed-Loop Automobile Driving , 1981, IEEE Transactions on Systems, Man, and Cybernetics.

[11]  S.C. Baslamisli,et al.  Gain Scheduled Active Steering Control Based on a Parametric Bicycle Model , 2007, 2007 IEEE Intelligent Vehicles Symposium.

[12]  Jürgen Ackermann,et al.  Robust car steering by yaw rate control , 1990, 29th IEEE Conference on Decision and Control.

[13]  Hans B. Pacejka,et al.  Tire and Vehicle Dynamics , 1982 .

[14]  Anders Rantzer,et al.  Computation of piecewise quadratic Lyapunov functions for hybrid systems , 1997, 1997 European Control Conference (ECC).

[15]  Riccardo Marino,et al.  Nonlinear PI front and rear steering control in four wheel steering vehicles , 2007 .

[16]  Francesco Borrelli,et al.  Predictive Active Steering Control for Autonomous Vehicle Systems , 2007, IEEE Transactions on Control Systems Technology.

[17]  Mikael Johansson,et al.  Piecewise linear control systems - a computational approach , 2002, Lecture notes in control and information sciences.