Robust stabilization for continuous fuzzy systems with time varying delay

This paper focuses on the problem of robust control for Takagi-Sugeno (T-S) fuzzy systems with time-delay. The less conservative conditions are developed by considering a parameter dependent Lyapunov-Krasovskii functional and slack matrix variables. The design conditions are formulated as an LMI (linear matrix inequality) feasibility problem, that can be efficiently solved using convex optimization numerical techniques. Numerical examples are presented to illustrate the effectiveness of the proposed approach with the comparisons to other conditions from the literature.