{"title":"Robust H/sub /spl infin// control for uncertain discrete-time delayed stochastic systems with saturating nonlinear actuators","authors":"Li Xie","doi":"10.1109/ICNSC.2005.1461302","DOIUrl":null,"url":null,"abstract":"The robust H/sub /spl infin// control problem is presented for uncertain discrete-time delayed stochastic systems with saturating nonlinear actuators. In the discrete time systems, the parameter uncertainties are assumed to satisfy norm-bounded conditions, and the time delays exist in state and control simultaneously. By the Lyapunov stability theory, sufficient conditions for the existence of stochastic robust stabilization controller and stochastic robust H/sub /spl infin// controller are presented in terms of linear matrix inequality. With the controllers, the closed-loop systems are robust stochastic stable with a pre-specified H/sub /spl infin// disturbance attenuation coefficient /spl gamma/.","PeriodicalId":313251,"journal":{"name":"Proceedings. 2005 IEEE Networking, Sensing and Control, 2005.","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. 2005 IEEE Networking, Sensing and Control, 2005.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICNSC.2005.1461302","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
The robust H/sub /spl infin// control problem is presented for uncertain discrete-time delayed stochastic systems with saturating nonlinear actuators. In the discrete time systems, the parameter uncertainties are assumed to satisfy norm-bounded conditions, and the time delays exist in state and control simultaneously. By the Lyapunov stability theory, sufficient conditions for the existence of stochastic robust stabilization controller and stochastic robust H/sub /spl infin// controller are presented in terms of linear matrix inequality. With the controllers, the closed-loop systems are robust stochastic stable with a pre-specified H/sub /spl infin// disturbance attenuation coefficient /spl gamma/.