Robust stabilization conditions for time-delay fuzzy systems using fuzzy weighting-dependent approach

This paper investigates the problem of robust control design for a class of uncertain nonlinear systems with delay. The system is described by a state-space Takagi-Sugeno fuzzy model and norm-bounded parameter uncertainties. By evaluating the derivative of a new fuzzy weighting-dependent Lyapunov-Krasovskii functional, less conservative convex conditions, expressed as linear matrix inequalities (LMIs), are established. Two numerical examples are provided to show that our method can lead to much less conservative results than those in the existing references. Keywords: Takagi-Sugeno(TS), Stability, Stabilization, Linear Matrix Inequalities (LMIs), Fuzzy Lyapunov-Krasovskii functions(LKF).