Robust H∞ control for uncertain singular discrete T–S fuzzy time-delay systems with actuator saturation

Abstract

In this paper, the problem of robust H∞ control for uncertain singular discrete T–S fuzzy time-delay systems with actuator saturation is addressed. Based on singular value decomposition approach, a delay-dependent sufficient condition for the H∞ control problem is obtained by constructing multiple Lyapunov–Krasovskii function and a latest difference inequality. Meanwhile, a parallel-distributed compensation (PDC) state feedback H∞ controller design problem is solved by linear matrices inequalities (LMIs) to guarantee the closed-loop system not only is admissible but also possesses H∞ performance index γ. Moreover, the problem of estimating the domain of attraction for the discrete T–S fuzzy closed-loop system is formulated and solved as a LMI optimization problem. Finally, numerical examples demonstrate the obtained estimation of the domain of attraction and H∞ performance index γ less conservative than some result reported in the literature.