关键词: T-S 模糊切换系统, 时变时滞, 平均驻留时间法, 平行分布补偿法, 非脆弱鲁棒H_∞控制

Abstract: In order to solve the problem that the traditional controller reduces the reliability and expected dynamic performance of the closed-loop system in the presence of parameter perturbation，Controller design of non-fragile robust H∞ is implemented for a class of uncertain nonlinear time-varying delay systems based on T-S fuzzy model description． Firstly，the global fuzzy model of the nonlinear switched closed-loop system is established by using the PDC ( Parallel Distributed Compensation) algorithm． Secondly，the closed-loop system is obtained by constructing the fuzzy basis-dependent Lyapunov-Krasovskii function based on the ADT ( Average Dwell Time) method． The condition for the non-fragile robust H∞ controller existence are obtained，and the design of controllers is converted into a convex optimization problem of solving a set of linear matrix inequalities．Finally，a simulation example demonstrates the feasibility of the method．

Key words: T-S fuzzy switching systems, time-varying delay, average dwell time, parallel distributed compensation, non-fragile robust H_∞ control