Delay-dependent robust H∞ output feedback control for uncertain discrete-time switched systems with interval time-varying delay

This paper revisits the problem of delay-dependent dynamic output feedback control for a class of uncertain discrete-time switched linear state-delayed systems, where the state delay is assumed to be time-varying and of an interval-like type, which means that both the lower and upper bounds of the time-varying delay are available and the parameter uncertainties are assumed to have a structured linear fractional form. The objective is to design a switched dynamic output feedback controller guaranteeing the asymptotic stability of The resulting closed-loop system with disturbance attenuation *** gamma. Based on a new delay-dependent switched Lyapunov-Krasovskii functional combined with Finsler's Lemma, a novel sufficient condition for robust R. performance analysis is first derived and then the corresponding controller synthesis is developed. It is shown that the controller parameters can be obtained by solving a set of linear matrix inequalities, which are numerically efficient with commercially available software. Finally, a numerical example is provided to illustrate the advantages and less conservatism of the proposed approach in comparison with the existing approaches.