{"title":"Delay-dependent Robust H∞ Control for a Class of Switched Systems with Time Delay","authors":"Yijing Wang, Zhenxian Yao, Z. Zuo, Huimin Zhao","doi":"10.1109/ISIC.2008.4635962","DOIUrl":null,"url":null,"abstract":"The delay-dependent H∞ control for switched systems with time-delay is discussed in this paper. Based on linear matrix inequalities (LMI), a new delay-dependent condition is then derived by employing Lyapunov-Razumikhin functional method, which can ensure that the switched system is asymptotically stable with a prescribed Hinfin performance. Moreover, a switching state feedback strategy is proposed to solve the H∞ control problem for the linear switched systems. By state feedback, we mean that the switchings among subsystems are dependent on system states. Finally, a simulation example is given to illustrate the validity of the result.","PeriodicalId":342070,"journal":{"name":"2008 IEEE International Symposium on Intelligent Control","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 IEEE International Symposium on Intelligent Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIC.2008.4635962","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 11
Abstract
The delay-dependent H∞ control for switched systems with time-delay is discussed in this paper. Based on linear matrix inequalities (LMI), a new delay-dependent condition is then derived by employing Lyapunov-Razumikhin functional method, which can ensure that the switched system is asymptotically stable with a prescribed Hinfin performance. Moreover, a switching state feedback strategy is proposed to solve the H∞ control problem for the linear switched systems. By state feedback, we mean that the switchings among subsystems are dependent on system states. Finally, a simulation example is given to illustrate the validity of the result.
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