{"title":"离散T-S模糊系统的观测器H∞控制","authors":"Xiaoheng Chang, Guanghong Yang, Haibo Wang","doi":"10.1080/00207721003653708","DOIUrl":null,"url":null,"abstract":"This paper is concerned with the problem of observer-based H∞ control for discrete-time Takagi-Sugeno (T-S) fuzzy systems, and new design methods are presented. By defining a fuzzy Lyapunov function, a new sufficient condition guaranteeing the H∞ performance of the T-S fuzzy systems is derived, and the condition is expressed by a set of linear matrix inequalities (LMIs). In comparison with the existing literature, the proposed approach may provide more relaxed condition while ensuring better H∞ performance. The simulation results illustrate the effectiveness of the proposed approach.","PeriodicalId":127110,"journal":{"name":"2009 Chinese Control and Decision Conference","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2011-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"27","resultStr":"{\"title\":\"Observer-based H∞ control for discrete-time T-S fuzzy systems\",\"authors\":\"Xiaoheng Chang, Guanghong Yang, Haibo Wang\",\"doi\":\"10.1080/00207721003653708\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is concerned with the problem of observer-based H∞ control for discrete-time Takagi-Sugeno (T-S) fuzzy systems, and new design methods are presented. By defining a fuzzy Lyapunov function, a new sufficient condition guaranteeing the H∞ performance of the T-S fuzzy systems is derived, and the condition is expressed by a set of linear matrix inequalities (LMIs). In comparison with the existing literature, the proposed approach may provide more relaxed condition while ensuring better H∞ performance. The simulation results illustrate the effectiveness of the proposed approach.\",\"PeriodicalId\":127110,\"journal\":{\"name\":\"2009 Chinese Control and Decision Conference\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"27\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 Chinese Control and Decision Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/00207721003653708\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 Chinese Control and Decision Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/00207721003653708","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Observer-based H∞ control for discrete-time T-S fuzzy systems
This paper is concerned with the problem of observer-based H∞ control for discrete-time Takagi-Sugeno (T-S) fuzzy systems, and new design methods are presented. By defining a fuzzy Lyapunov function, a new sufficient condition guaranteeing the H∞ performance of the T-S fuzzy systems is derived, and the condition is expressed by a set of linear matrix inequalities (LMIs). In comparison with the existing literature, the proposed approach may provide more relaxed condition while ensuring better H∞ performance. The simulation results illustrate the effectiveness of the proposed approach.
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