{"title":"基于lmi的T-S模糊动态系统状态反馈H∞控制设计新方法","authors":"Zhaona Chen, Yuanwei Jing, Nan Jiang","doi":"10.1109/CCDC.2010.5498131","DOIUrl":null,"url":null,"abstract":"This paper proposes a new quadratic stability condition and H∞ control designing for Takagi-Sugeno (T-S) fuzzy control systems. Firstly, new stability sufficient condition in the format of linear matrix inequalities (LMIs) is obtained by relaxing the stability condition derived in previous paper. It guarantees the existence of the state feedback H∞ control. Secondly, the paper addresses the H∞ controller designing, and the H∞ controller can be considered by solving a set of suitable LMIs. Finally, the validity and applicability of the proposed approach are successfully demonstrated through numerical simulations for the continuous-time nonlinear system.","PeriodicalId":227938,"journal":{"name":"2010 Chinese Control and Decision Conference","volume":"23 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"A new LMI-based approach to state feedback H∞ control designs for T-S fuzzy dynamic systems\",\"authors\":\"Zhaona Chen, Yuanwei Jing, Nan Jiang\",\"doi\":\"10.1109/CCDC.2010.5498131\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper proposes a new quadratic stability condition and H∞ control designing for Takagi-Sugeno (T-S) fuzzy control systems. Firstly, new stability sufficient condition in the format of linear matrix inequalities (LMIs) is obtained by relaxing the stability condition derived in previous paper. It guarantees the existence of the state feedback H∞ control. Secondly, the paper addresses the H∞ controller designing, and the H∞ controller can be considered by solving a set of suitable LMIs. Finally, the validity and applicability of the proposed approach are successfully demonstrated through numerical simulations for the continuous-time nonlinear system.\",\"PeriodicalId\":227938,\"journal\":{\"name\":\"2010 Chinese Control and Decision Conference\",\"volume\":\"23 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-05-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 Chinese Control and Decision Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CCDC.2010.5498131\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 Chinese Control and Decision Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCDC.2010.5498131","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A new LMI-based approach to state feedback H∞ control designs for T-S fuzzy dynamic systems
This paper proposes a new quadratic stability condition and H∞ control designing for Takagi-Sugeno (T-S) fuzzy control systems. Firstly, new stability sufficient condition in the format of linear matrix inequalities (LMIs) is obtained by relaxing the stability condition derived in previous paper. It guarantees the existence of the state feedback H∞ control. Secondly, the paper addresses the H∞ controller designing, and the H∞ controller can be considered by solving a set of suitable LMIs. Finally, the validity and applicability of the proposed approach are successfully demonstrated through numerical simulations for the continuous-time nonlinear system.
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