{"title":"模糊奇摄动系统的H/sub /状态反馈控制","authors":"Huaping Liu, F. Sun, K. He, Zeng-qi Sun","doi":"10.1109/CDC.2003.1272469","DOIUrl":null,"url":null,"abstract":"This study introduces an H/sub 2/ fuzzy state feedback control design method for nonlinear singularly perturbed systems. First, the Takagi-Sugeno fuzzy model is employed to approximate a nonlinear singularly perturbed system. Next, based on the fuzzy singularly perturbed model, a fuzzy PDC /spl epsiv/-independent controller is developed to achieve the H/sub 2/ performance for small enough /spl epsiv/. By the proposed two-stage procedure, the control problem is parameterized in terms of two sub problem, one can be reduced to a set of LMIs, the other can be recast into a set of BMIs, furthermore, the BMIs will be solved by the proposed iterative LMI(ILMI).","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"H/sub 2/ state feedback control for fuzzy singularly perturbed systems\",\"authors\":\"Huaping Liu, F. Sun, K. He, Zeng-qi Sun\",\"doi\":\"10.1109/CDC.2003.1272469\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This study introduces an H/sub 2/ fuzzy state feedback control design method for nonlinear singularly perturbed systems. First, the Takagi-Sugeno fuzzy model is employed to approximate a nonlinear singularly perturbed system. Next, based on the fuzzy singularly perturbed model, a fuzzy PDC /spl epsiv/-independent controller is developed to achieve the H/sub 2/ performance for small enough /spl epsiv/. By the proposed two-stage procedure, the control problem is parameterized in terms of two sub problem, one can be reduced to a set of LMIs, the other can be recast into a set of BMIs, furthermore, the BMIs will be solved by the proposed iterative LMI(ILMI).\",\"PeriodicalId\":371853,\"journal\":{\"name\":\"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)\",\"volume\":\"15 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-12-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.2003.1272469\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.2003.1272469","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
H/sub 2/ state feedback control for fuzzy singularly perturbed systems
This study introduces an H/sub 2/ fuzzy state feedback control design method for nonlinear singularly perturbed systems. First, the Takagi-Sugeno fuzzy model is employed to approximate a nonlinear singularly perturbed system. Next, based on the fuzzy singularly perturbed model, a fuzzy PDC /spl epsiv/-independent controller is developed to achieve the H/sub 2/ performance for small enough /spl epsiv/. By the proposed two-stage procedure, the control problem is parameterized in terms of two sub problem, one can be reduced to a set of LMIs, the other can be recast into a set of BMIs, furthermore, the BMIs will be solved by the proposed iterative LMI(ILMI).
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