{"title":"On stabilizability of stochastic fuzzy systems","authors":"E. Boukas, A. El-Hajjaji","doi":"10.1109/ACC.2006.1657405","DOIUrl":null,"url":null,"abstract":"This paper deals with the class of continuous-time uncertain stochastic fuzzy systems with norm bounded uncertainties. A model-based fuzzy stabilization design utilizing the concept of the so-called parallel distributed compensation (PDC) is employed to stochastically stabilize the class of systems under consideration. LMI-based sufficient conditions are developed to synthesize the state feedback controller that stochastically stabilizes either the nominal system or the uncertain one. A numerical example is provided to show the effectiveness of the proposed results","PeriodicalId":265903,"journal":{"name":"2006 American Control Conference","volume":"202 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"31","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 American Control Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACC.2006.1657405","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 31
Abstract
This paper deals with the class of continuous-time uncertain stochastic fuzzy systems with norm bounded uncertainties. A model-based fuzzy stabilization design utilizing the concept of the so-called parallel distributed compensation (PDC) is employed to stochastically stabilize the class of systems under consideration. LMI-based sufficient conditions are developed to synthesize the state feedback controller that stochastically stabilizes either the nominal system or the uncertain one. A numerical example is provided to show the effectiveness of the proposed results
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