{"title":"Stability analysis of the discrete Takagi-Sugeno fuzzy model","authors":"J. Chou, Shinn-Horng Chen","doi":"10.1109/AFSS.1996.583643","DOIUrl":null,"url":null,"abstract":"We present a new stability criterion to analyze the stability of the discrete TS (Takagi and Sugeno, 1985) fuzzy dynamic model by which nonlinear systems can be identified precisely. This proposed stability criterion does not need a positive definite matrix solution of Lyapunov equations or a Lyapunov equation such that sufficient stability conditions are satisfied for every IF-THEN rule. Therefore this stability criterion enables us to check the stability of the discrete TS fuzzy model with less computation. A simple example is included to illustrate an application of the proposed method.","PeriodicalId":197019,"journal":{"name":"Soft Computing in Intelligent Systems and Information Processing. Proceedings of the 1996 Asian Fuzzy Systems Symposium","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1996-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Soft Computing in Intelligent Systems and Information Processing. Proceedings of the 1996 Asian Fuzzy Systems Symposium","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/AFSS.1996.583643","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
We present a new stability criterion to analyze the stability of the discrete TS (Takagi and Sugeno, 1985) fuzzy dynamic model by which nonlinear systems can be identified precisely. This proposed stability criterion does not need a positive definite matrix solution of Lyapunov equations or a Lyapunov equation such that sufficient stability conditions are satisfied for every IF-THEN rule. Therefore this stability criterion enables us to check the stability of the discrete TS fuzzy model with less computation. A simple example is included to illustrate an application of the proposed method.
我们提出了一种新的稳定性准则来分析离散TS (Takagi and Sugeno, 1985)模糊动态模型的稳定性，该模型可以精确地识别非线性系统。该稳定性判据不需要Lyapunov方程的正定矩阵解，也不需要Lyapunov方程满足每个IF-THEN规则的充分稳定性条件。因此，该稳定性判据使我们能够以较少的计算量来检验离散TS模糊模型的稳定性。最后以一个简单的例子说明了该方法的应用。
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