Robust Stability Analysis and Feedback Control for Uncertain Systems with Time-Delay and External Disturbance

This paper addresses the delay-dependent Takagi-Sugeno (T-S) fuzzy state feedback control and exponential admissibility analysis for a class of T-S singular uncertain systems. Firstly, model is employed to approximate system with time-varying delay, saturation input unmatched disturbance. Secondly, controller designed by employing model. Thirdly, free-weighting matrices Lyapunov-Krasovskii functional multiple integral terms are derive conditions prescribed H-infinity performance guaranteed. Compared previous works, relax design conditions. The convex hull lemma convert closed-loop into without enhance flexibility. Schur complement Gronwall Bellman less conservative stability determining gain matrices. exact invariant set conservativeness problem linear matrix inequalities (LMIs) optimization constraints reduce computation complexity solving LMIs. Finally, simulation examples presented show effectiveness proposed methods.