Robust Guaranteed Cost Control for Uncertain Time-delay Switched Systems

Abstract

The problem of robust state feedback guaranteed cost control was considered for a class of uncertain switched linear systems with time delays. A Lyapunov function was constructed, while linear matrix inequality (LMI) approach and switching technique were used for the class of systems with time-delay contained in both state and input. Memory hybrid state feedback controllers were designed under arbitrary switching laws and a sufficient condition was presented. Under this condition the closed-loop systems is asymptotically stable and a lower upper bound is obtained for the quadratic cost function. Finally a simulation result shows the correctness and validity of the designed method.