{"title":"Redundancy approach for fuzzy Lyapunov stabilization of Takagi-Sugeno descriptors","authors":"T. Bouarar, K. Guelton, N. Manamanni","doi":"10.1109/CICA.2009.4982779","DOIUrl":null,"url":null,"abstract":"This paper presents new stability conditions for Takagi-Sugeno (T-S) descriptors. Thanks to the descriptor redundancy, LMI based controller design of less conservatism are derived. These conditions are obtained using a fuzzy Non Quadratic Lyapunov function (NQLF) approach with a non-Parallel-Distributed-Compensation (Non-PDC) control law. First, stabilization without constraints is considered for the sake of genericity. Then, H∞ based controller design is proposed in order to deal with the stability of closed loop descriptors subject to external disturbances. Finally, a numerical example is proposed to illustrate the efficiency of the proposed approaches.","PeriodicalId":383751,"journal":{"name":"2009 IEEE Symposium on Computational Intelligence in Control and Automation","volume":"65 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 IEEE Symposium on Computational Intelligence in Control and Automation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CICA.2009.4982779","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
This paper presents new stability conditions for Takagi-Sugeno (T-S) descriptors. Thanks to the descriptor redundancy, LMI based controller design of less conservatism are derived. These conditions are obtained using a fuzzy Non Quadratic Lyapunov function (NQLF) approach with a non-Parallel-Distributed-Compensation (Non-PDC) control law. First, stabilization without constraints is considered for the sake of genericity. Then, H∞ based controller design is proposed in order to deal with the stability of closed loop descriptors subject to external disturbances. Finally, a numerical example is proposed to illustrate the efficiency of the proposed approaches.