Improved Stabilization Method for Time-Delay T-S Fuzzy Systems

Abstract

This paper aims to study problem of the delay-dependent stability analysis and stabilization control design for nonlinear systems with time delay in Takagi-Sugeno(T-S) fuzzy model. New membership function dependent Lyapunov-Krasovskii functional(LKF) is proposed in this paper. Wirtinger inequality is employed to estimate the integral term of derivative of the LKF, and switching rules are established to avoid the time derivative of membership functions. Then, improved stability and stabilization criteria are obtained within the form of linear matrix inequalities (LMIs). Two numerical examples are given to demonstrate the advantage and effectiveness of the proposed method in this paper.