Robust H _∞ Control for T-S Fuzzy DOSs with Time Delays

Introduction

Fuzzy technique has been widely and successfully used in nonlinear system modeling and control for more than two decades. T-S fuzzy model was introduced in [223]. The T-S fuzzy system has emerged as one of active and fruitful areas of fuzzy control in recent years, see for example [44, 47, 148, 210, 216] and the references therein. Fuzzy automata and syntactic analysis approach have been used for fault diagnosis [199]. Two different methods on simulate fuzzy random variables have been presented in [81]. Fuzzy H _∞ control has been investigated in [76, 152, 179]. By using a fuzzy linear model, an MIMO adaptive sliding mode controller has been proposed in systems [37]. Fuzzy filter has been established by using Lyapuonv function approach in [181, 297]. A stabilization problem for T-S fuzzy systems with nonuniform uncertain sampling was investigated in [65]. By a fuzzy output feedback controller, a stabilizing problem of nonlinear systems has been addressed in [180]. Stabilization analysis for a T-S discrete fuzzy model has been presented based on a non-PDC control law [85]. Using a non-PDC control law, an extensive result has been presented for T-S discrete fuzzy systems in [45].