{"title":"一类时滞交换系统的时滞相关鲁棒H∞控制","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":"{\"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}","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}
Delay-dependent Robust H∞ Control for a Class of Switched Systems with Time Delay
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.