{"title":"Takagi-Sugeno模糊系统的稳定性与镇定","authors":"M. Akar, U. Ozguner","doi":"10.1109/CDC.1999.833309","DOIUrl":null,"url":null,"abstract":"This paper discusses stability and stabilization of discrete-time and continuous-time Takagi-Sugeno fuzzy systems. Conditions on stability of the open-loop fuzzy system are derived via the concepts of vector Lyapunov functions and M-matrices. Two different quadratic and norm-like Lyapunov functions are employed for the subsystems to derive conditions on stability of the fuzzy system. Unlike continuous time fuzzy system, different Lyapunov functions generate different results for discrete-time fuzzy systems, quadratic Lyapunov generating the superior of the two. Following a similar approach, stabilization of the open-loop fuzzy system using local parallel distributed compensators is investigated.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"Stability and stabilization of Takagi-Sugeno fuzzy systems\",\"authors\":\"M. Akar, U. Ozguner\",\"doi\":\"10.1109/CDC.1999.833309\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper discusses stability and stabilization of discrete-time and continuous-time Takagi-Sugeno fuzzy systems. Conditions on stability of the open-loop fuzzy system are derived via the concepts of vector Lyapunov functions and M-matrices. Two different quadratic and norm-like Lyapunov functions are employed for the subsystems to derive conditions on stability of the fuzzy system. Unlike continuous time fuzzy system, different Lyapunov functions generate different results for discrete-time fuzzy systems, quadratic Lyapunov generating the superior of the two. Following a similar approach, stabilization of the open-loop fuzzy system using local parallel distributed compensators is investigated.\",\"PeriodicalId\":137513,\"journal\":{\"name\":\"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-12-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1999.833309\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1999.833309","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stability and stabilization of Takagi-Sugeno fuzzy systems
This paper discusses stability and stabilization of discrete-time and continuous-time Takagi-Sugeno fuzzy systems. Conditions on stability of the open-loop fuzzy system are derived via the concepts of vector Lyapunov functions and M-matrices. Two different quadratic and norm-like Lyapunov functions are employed for the subsystems to derive conditions on stability of the fuzzy system. Unlike continuous time fuzzy system, different Lyapunov functions generate different results for discrete-time fuzzy systems, quadratic Lyapunov generating the superior of the two. Following a similar approach, stabilization of the open-loop fuzzy system using local parallel distributed compensators is investigated.
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