H∞ control for singular systems with interval time-varying delays via dynamic feedback controller

The issue of dynamic feedback H∞ control in this paper is carefully revisited for singular systems with interval time-varying delays. A Lyapunov-Krasovskii functional, made up of state decomposition components and relatively few decision variables, is proposed. Further, a delay-dependent admissible criterion (conforming to non–impulsiveness, regularity, and stability) with a given H∞ performance index for the unforced nominal singular systems is founded by some linear matrix inequalities. Subsequently, a dynamic feedback controller for the closed–loop system is designed and the corresponding admissibility conditions are obtained. By means of a state decomposition recombination method, the desired dynamic feedback controller parameters are clearly determined by solving each decomposition component of the dynamic feedback controller. Interestingly, our results can enhance the previous results and the method proposed has greater flexibility. By numerical examples, some comparisons are shown to reveal the superiority and feasibility of our method.