Non-fragile Dynamic Output Feedback H∞Control for a Class of Un­certain Switched Systems with Time-varying Delay  

作　　者：Yuning Song Yuzhong Liu 

机构地区：[1]School of mathematics and Systems Science,Shenyang Normal University,Shenyang,Liaoning,110034,China

出　　处：《Journal of Electronic & Information Systems》2021年第1期1-6,共6页电子信息系统杂志（英文）

基　　金：science basic re­search program of the education department of Liaoning Province(No.LJC202002).

摘　　要：The problem of non-fragile dynamic output feedback H∞control for a class of uncertain switched systems with time-varying delay is discussed.Firstly,the form of non-fragile dynamic output feedback H∞controller is given.Under the condition that the upper bound of time delay and the upper bound of delay derivative are limited simultaneously,Lyapunov functional and its corresponding switching rules are constructed by using single Lyapunov function method and convex combination technique;Secondly,we use the inequality lemma to scale the derived Lyapunov functional in order to eliminate the time-varying delay term in the in­equality,and then introduce the J-function to obtain a nonlinear matrix in­equality that satisfies the H∞performance indexγ,we also employ Schur complement lemma to transform the nonlinear matrix inequality into set of linear matrix inequalities consisting of two linear matrix inequalities,a sufficient condition for the existence of a non-fragile dynamic output feedback H∞controller and satisfying the H∞performance indexγis concluded for a class of uncertain switching systems with variable time delay;Finally,a switched system composed of two subsystems is consid­ered and the effectiveness and practicability of the theorem are illustrated by numerical simulation with LMI toolbox.

关 键 词：Single Lyapunov function Uncertainty H_(∞)control NON-FRAGILE Output feedback 

分 类 号：O17[理学—数学]