Delay-dependent robust H∞ control of a class of uncertain switched systems with time delay

This paper considers the problem of delay-dependent robust H_infin control for switched systems with disturbance and time-varying structured uncertainties. Base on the Lyapunov function and Finslerpsilas lemma , we obtain the sufficient conditions which issure the switched systems are robust stabilization and has gamma robust performance under arbitrary switching laws. By Finslerpsilas lemma, some new matrices increase the dimension of linear matrix inequality, which make less conservative for solving the problems. Finally, a simulation result is given to illustrate the efficiency of the main result in the paper.