Improved stability and stabilization criteria for T-S fuzzy systems with time-varying delay

Abstract

This paper studies the problems of stability analysis and stabilization for a class of nonlinear systems represented by T-S fuzzy models with time-varying delay. Based on a reinforced Lyapunov-Krasovskii functional, a new delay-dependent criterion for ensuring the asymptotic stability of the concerned fuzzy systems has been derived in terms of linear matrix inequalities (LMI). Then, the state feedback control design is derived to achieve the stabilization. The efficiency and merits of the proposed approach are shown through several numerical examples.