{"title":"Fuzzy control design for perturbed fuzzy time-delay large-scale systems","authors":"Rong-Jyue Wang, Wen-June Wang","doi":"10.1109/FUZZ.2003.1209421","DOIUrl":null,"url":null,"abstract":"In this paper, the perturbed continuous-time large-scale system with time-delay is represented by an equivalent Takagi-Sugeno type fuzzy model. The state feedback decentralized fuzzy controller is considered in this paper. Based on Lyapunov criterion and Razumikhin theorem, some sufficient conditions are derived to stabilize the whole perturbed fuzzy time-delay system asymptotically. Moreover, if all the interconnection matrices A/sub ij//sup l/ and time-delays /spl tau//sub ij//sup l/(t) of each subsystem are the same for all rules, we shall propose a simpler and less conservative criterion. These criteria do not need the solution of a Lyapunov equation or Riccati equation. The so-called \"matching condition\" for the interconnection matrices and perturbations are not needed.","PeriodicalId":212172,"journal":{"name":"The 12th IEEE International Conference on Fuzzy Systems, 2003. FUZZ '03.","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"17","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The 12th IEEE International Conference on Fuzzy Systems, 2003. FUZZ '03.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FUZZ.2003.1209421","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 17
Abstract
In this paper, the perturbed continuous-time large-scale system with time-delay is represented by an equivalent Takagi-Sugeno type fuzzy model. The state feedback decentralized fuzzy controller is considered in this paper. Based on Lyapunov criterion and Razumikhin theorem, some sufficient conditions are derived to stabilize the whole perturbed fuzzy time-delay system asymptotically. Moreover, if all the interconnection matrices A/sub ij//sup l/ and time-delays /spl tau//sub ij//sup l/(t) of each subsystem are the same for all rules, we shall propose a simpler and less conservative criterion. These criteria do not need the solution of a Lyapunov equation or Riccati equation. The so-called "matching condition" for the interconnection matrices and perturbations are not needed.
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