Non-fragile memory feedback control for uncertain time-varying delay switched fuzzy systems with unknown nonlinear disturbance  

作　　者：Le Zhang Mei-Yu Jia Hong Yang 

机构地区：[1]School of Information Engineering,Shenyang University,Shenyang,People’s Republic of China

出　　处：《Journal of Control and Decision》2021年第3期280-291,共12页控制与决策学报（英文）

基　　金：This work is supported by LiaoNing Revitalization Talents Program[grant number XLYC1807138];Program for Liaoning Excellent Talents in University[grant number LR2018062];Project of Natural Science Foundation of Liaoning Province[grant number 2019-MS-237].

摘　　要：Currently,the feedback control rate of most nonlinear systems is realised by the memoryless state feedback controller which cannot affect the impact of time delay on the systems,and the general processing method of the Lyapunov–Krasovskii functional for the time-varying delay switched fuzzy systems(SFS)is more conservative.Therefore,this paper addresses the problem of nonfragile robust and memory state feedback control for switched fuzzy systems with unknown nonlinear disturbance.Non-fragile memory state feedback robust controller which has two controller gains different from each other,and switching law are designed to keep the proposed systems asymptotically stable for all admissible parameter uncertainties.Delay-dependent less conservative sufficient conditions are obtained through using the Lyapunov–Krasovskii functional method and free-weighting matrices depending on Leibniz–Newton,guaranteeing that the SFS can be asymptotically stable.A numerical example is given to illustrate the proposed controller performs better than the classic memoryless state feedback controller.

关 键 词：Switched fuzzy systems memory state feedback controller non-fragile control switching control Lyapunov–Krasovskii functional switching law 

分 类 号：O17[理学—数学]