Delay-dependent robust H-infinity control of uncertain switched systems

This paper considers the problem of delay-dependent robust H-infinity control of time-delay switched systems with disturbance and time-varying structured uncertainties. On the basis of the Lyapunov function and linear matrix inequality approach, we obtain the sufficient conditions for H-infinity robust stabilization of the uncertain time-delay switched systems under arbitrary switching signals. By the well-known S-procedure, some free weighting matrices are introduced, and these matrices are all selected by solving the linear matrix inequalities instead of choosing them to be fixed matrices. Hence, the conditions are less conservative. Finally, a simulation example is employed to illustrate the validity of the main results in the paper.