{"title":"Stability analysis and systematic design of fuzzy controllers with simplified linear control rules","authors":"Jun Liao, M. Er","doi":"10.1109/CDC.1999.833313","DOIUrl":null,"url":null,"abstract":"In this paper, stability analysis and systematic design procedures of fuzzy logic control systems based on the simplified Takagi-Sugeno (TS) fuzzy model are proposed. First, we represent the simplified TS model in the form of local state-space equations. Second, we show that the general TS fuzzy systems with simplified nonlinear rules are universal approximators. A systematic design procedure for fuzzy controllers is proposed through the parallel distributed compensation (PDC) scheme. Finally, necessary and sufficient conditions that guarantee stability of the fuzzy system are obtained.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":"48 8","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1999.833313","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper, stability analysis and systematic design procedures of fuzzy logic control systems based on the simplified Takagi-Sugeno (TS) fuzzy model are proposed. First, we represent the simplified TS model in the form of local state-space equations. Second, we show that the general TS fuzzy systems with simplified nonlinear rules are universal approximators. A systematic design procedure for fuzzy controllers is proposed through the parallel distributed compensation (PDC) scheme. Finally, necessary and sufficient conditions that guarantee stability of the fuzzy system are obtained.
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