Robust control for a class of uncertain switched time delay systems using delta operator

This paper considers the problem of stability and robust stabilization for a class of uncertain time delay switched systems using the delta operator. Based on multiple Lyapunov-Krasovskii function in delta domain, a sufficient condition for the existence of stability of the delta operator time delay switched system is presented, and a new sampling period and delay dependent design approach to robust state feedback controller is addressed. The proposed controller can robustly stabilize the uncertain delta operator time delay switched system for all admissible parameter perturbations. The solution to the controller is formulated in the form of a set of linear matrix inequalities. A numerical example is provided to illustrate the effectiveness of the developed method.