New delay-dependent stability analysis and stabilizing design for T-S fuzzy systems with a time-varying delay

This paper focuses on the asymptotic stability and the state feedback control for T-S fuzzy systems with a time-varying delay by employing an improved free-weighting matrix approach. By taking the relationship among the time-varying delay, its upper bound and their difference into account, a new less conservative delay-dependent stability criteria are obtained without ignoring any useful terms in the derivative of Lyapunov-Krasovskii functional. As a result, a design method of a state feedback controller is formulated for T-S fuzzy systems with a time-varying delay based on the result of stability analysis. Finally, two numerical examples are given to demonstrate the effectiveness and the merits of the proposed methods.