H_∞ Output Tracking Control for Discrete-Time Switched Systems Based on Switching Method

摘要

This paper addresses the H_∞ output tracking control problem for a class of discrete-time switched linear systems. We do not require that the H_∞ output tracking control problem for each individual subsystem to be solvable. Based on the multiple Lyapunov functions approach, a switching law depending on the system state is designed, which, together with the designed controllers, can guarantee that the output tracking error dynamics converges H_∞ asymptotically to zero. In sufficient conditions, we introduce an additional scalar matrix variable to realize the decoupling between the system matrices and Lyapunov matrices. The controller gains can be obtained by solving linear matrix inequalities (LMIs). A numerical example is provided to demonstrate the feasibility of the proposed design method.