Lateral vehicle stabilization using constrained nonlinear control

A lateral stabilization system for automotive vehicles is designed based on nonlinear constrained receding horizon control. An explicit piecewise linear control law approximating the optimal solution is computed off-line, giving a computationally efficient on-line solution which can be implemented with low real-time software complexity on inexpensive hardware. Simulations show that the controller is able to stabilize the vehicle in extreme maneuvers where the vehicle otherwise becomes unstable.

[1]  Fredrik Gustafsson,et al.  Slip-based tire-road friction estimation , 1997, Autom..

[2]  Jens Lüdemann Heterogeneous and hybrid control with application in automotive systems , 2002 .

[3]  J. Davenport Editor , 1960 .

[4]  Jens Kalkkuhl,et al.  Wheel slip control in ABS brakes using gain scheduled constrained LQR , 2001, 2001 European Control Conference (ECC).

[5]  Uwe Kiencke,et al.  Automotive Control Systems , 2005 .

[6]  Hans Bock,et al.  A Direct Multiple Shooting Method for Real-Time Optimization of Nonlinear DAE Processes , 2000 .

[7]  Alberto Bemporad,et al.  Evaluation of piecewise affine control via binary search tree , 2003, Autom..

[8]  Vadim I. Utkin,et al.  Linear and nonlinear controller design for robust automatic steering , 1995, IEEE Trans. Control. Syst. Technol..

[9]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..

[10]  Alberto Bemporad,et al.  An algorithm for multi-parametric quadratic programming and explicit MPC solutions , 2003, Autom..

[11]  T. Johansen,et al.  Efficient Optimal Constrained Control Allocation via Multiparametric Programming , 2005 .

[12]  T. Johansen On multi-parametric nonlinear programming and explicit nonlinear model predictive control , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[13]  P. Gill,et al.  User's Guide for SOL/NPSOL: A Fortran Package for Nonlinear Programming. , 1983 .

[14]  Alberto Bemporad,et al.  The explicit linear quadratic regulator for constrained systems , 2003, Autom..