论文信息 - Linear time‐varying model predictive control and its application to active steering systems: Stability analysis and experimental validation

Linear time‐varying model predictive control and its application to active steering systems: Stability analysis and experimental validation

A model predictive control (MPC) approach for controlling an active front steering (AFS) system in an autonomous vehicle is presented. At each time step a trajectory is assumed to be known over a finite horizon, and an MPC controller computes the front steering angle in order to best follow the desired trajectory on slippery roads at the highest possible entry speed. We start from the results presented in (Int. J. Veh. Auton. Syst. 2005; 3(2–4):265–291; IEEE Trans. Contr. Syst. Technol. 2007; 15(3)) and formulate the MPC problem based on successive online linearization of the nonlinear vehicle model (linear time‐varying (LTV) MPC). We present a sufficient stability condition for such LTV MPC scheme. The condition is derived for a general class of nonlinear discrete time systems and results into an additional convex constraint to be included in the LTV MPC design.

[1] B. Liu,et al. Sampling with periodically varying rates , 1968 .

[2] C. C. Chen,et al. On receding horizon feedback control , 1981, Autom..

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

[4] Manfred Morari,et al. Level control in the steam generator of a nuclear power plant , 2000, IEEE Trans. Control. Syst. Technol..

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

[6] M. Kothare,et al. Efficient scheduled stabilizing model predictive control for constrained nonlinear systems , 2003 .

[7] L. Chisci,et al. Gain‐scheduling MPC of nonlinear systems , 2003 .

[8] Francesco Borrelli,et al. MPC-Based Approach to Active Steering for Autonomous Vehicle Systems , 2005 .

[9] T. Keviczky,et al. Flight test of a receding horizon controller for autonomous UAV guidance , 2005, Proceedings of the 2005, American Control Conference, 2005..

[10] Alberto Bemporad,et al. An MPC/hybrid system approach to traction control , 2006, IEEE Transactions on Control Systems Technology.

[11] Gary J. Balas,et al. Software-Enabled Receding Horizon Control for Autonomous Unmanned Aerial Vehicle Guidance , 2006 .

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