Simple Tracking Output Feedback H ∞ Control for Switched Linear Systems: Lateral Vehicle Control Application

International audienceIn this paper, the problem of the switched H ∞ tracking output feedback control problem is studied. The control design problem is addressed in the context of discrete-time switched linear systems. Then, the design of continuous-time case becomes trivial. Linear Matrix Inequality (LMI) and Linear Matrix Equality (LME) representations are used to express all sufficient conditions to solve the control problem. Some transformations leading to sufficient conditions for the control problem are also used. All conditions are established for any switching using a switched Lyapunov function and a common Lyapunov function. The effectiveness of the proposed control approach is shown through a steering vehicle control implementation. Interesting simulation results are obtained using real data acquired by an instrumented car

Simple Discrete-Time Switched H ∞ Optimal Control: Application for Lateral Vehicle Control

International audienceThis paper presents a switched H ∞ optimal control for a class of discrete-time switched linear systems. All sufficient conditions of the existence of the control law are proved and given in terms of LMI for any switching. Moreover, the proofs are established using an H ∞ norm and switched Lyapunov functions. Its performances are shown through a steering vehicle control application. In fact, the vehicle models are affected by several parameter variations like longitudinal speed, cornering stiffnesses coefficients. The validation step is conducted using real data acquired by a laboratory car under high lateral loads