H∞ Robust Stabilization for Uncertain Time-Delayed Switched Systems

The H_infin robust stabilization problem of a class of linear time-delayed switched systems with uncertain parameters in state matrix, state delay matrix and control input matrix is studied. Using the Lyapunov asymptotic stability theory and convex combinations technique, robust state feedback controllers and a switching law are designed to make the linear delayed systems be inner stable and have H _infin performance. By Schur complement lemma, the problem is converted to linear matrix inequalities (LMIs) which are easily solved, and the robust state feedback controllers of linear uncertain delayed systems are obtained. The simulation results show the validity of the designed controllers and the switching law