H∞ control for a class of singular systems with state time-varying delay

This paper is concerned with the H∞ control problem for a class of singular systems. The systems under consideration involve state time-varying delay. The aim of this paper is to design a dynamic feedback controller such that the resultant closed-loop system is regular, impulse-free and stable with given H∞ performance index. By using the Lyapunov-Krasovskii functional method, some delay-dependent sufficient criteria which guarantee the existence of the dynamic feedback controller and determine explicitly the parameters of the dynamic feedback controller are presented. Finally, some numerical examples are provided to show the effectiveness of the presented approaches.