{"title":"Analysis of stabilizing control of discrete-time fuzzy bilinear system","authors":"Zhang Guo, Duan Chunxia, Z. Yanhua","doi":"10.1109/CCDC.2012.6244432","DOIUrl":null,"url":null,"abstract":"This paper presents stability analysis and controller synthesis for discrete-time fuzzy bilinear system with single-input and multiple-input, respectively. Based on the parallel distributed compensation (PDC) method, some sufficient conditions are derived to guarantee the global asymptotically stability of the overall fuzzy system. The conditions are represented in terms of linear matrix inequality (LMI) and the corresponding controller can be obtained by solving a set of linear matrix inequalities. Numerical examples are given to show the effectiveness of the presented methods.","PeriodicalId":345790,"journal":{"name":"2012 24th Chinese Control and Decision Conference (CCDC)","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 24th Chinese Control and Decision Conference (CCDC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCDC.2012.6244432","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
This paper presents stability analysis and controller synthesis for discrete-time fuzzy bilinear system with single-input and multiple-input, respectively. Based on the parallel distributed compensation (PDC) method, some sufficient conditions are derived to guarantee the global asymptotically stability of the overall fuzzy system. The conditions are represented in terms of linear matrix inequality (LMI) and the corresponding controller can be obtained by solving a set of linear matrix inequalities. Numerical examples are given to show the effectiveness of the presented methods.
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