{"title":"非线性系统保成本LPV输出反馈控制器设计","authors":"Doo Jin Choi, P. Park","doi":"10.1109/ISIE.2001.931649","DOIUrl":null,"url":null,"abstract":"This paper proposes a guaranteed cost linear parameter-varying (LPV) output-feedback controller for nonlinear systems. Interpolating a nonlinear system into an LPV system associated with time-varying and state-dependent weighting functions, i.e. the gain-scheduled parameters, allows one to apply various linear system theories and techniques for analyzing and synthesizing nonlinear systems. Consequently, with the real-time measurable time-varying parameters, this paper presents an affine type of linear parameter-dependent output-feedback controller, i.e. an LPV controller, for the given LPV plant. As a cost, we consider an upper bound of states and input energy called LQ performance, under all admissible grades of the gain-scheduled parameters. This approach is more flexible for the nonlinear systems than existing approaches in the literature because the other controllers excessively depend on the structure of the nonlinear systems.","PeriodicalId":124749,"journal":{"name":"ISIE 2001. 2001 IEEE International Symposium on Industrial Electronics Proceedings (Cat. No.01TH8570)","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"16","resultStr":"{\"title\":\"Guaranteed cost LPV output-feedback controller design for nonlinear systems\",\"authors\":\"Doo Jin Choi, P. Park\",\"doi\":\"10.1109/ISIE.2001.931649\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper proposes a guaranteed cost linear parameter-varying (LPV) output-feedback controller for nonlinear systems. Interpolating a nonlinear system into an LPV system associated with time-varying and state-dependent weighting functions, i.e. the gain-scheduled parameters, allows one to apply various linear system theories and techniques for analyzing and synthesizing nonlinear systems. Consequently, with the real-time measurable time-varying parameters, this paper presents an affine type of linear parameter-dependent output-feedback controller, i.e. an LPV controller, for the given LPV plant. As a cost, we consider an upper bound of states and input energy called LQ performance, under all admissible grades of the gain-scheduled parameters. This approach is more flexible for the nonlinear systems than existing approaches in the literature because the other controllers excessively depend on the structure of the nonlinear systems.\",\"PeriodicalId\":124749,\"journal\":{\"name\":\"ISIE 2001. 2001 IEEE International Symposium on Industrial Electronics Proceedings (Cat. No.01TH8570)\",\"volume\":\"26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-06-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"16\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ISIE 2001. 2001 IEEE International Symposium on Industrial Electronics Proceedings (Cat. No.01TH8570)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIE.2001.931649\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ISIE 2001. 2001 IEEE International Symposium on Industrial Electronics Proceedings (Cat. No.01TH8570)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIE.2001.931649","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Guaranteed cost LPV output-feedback controller design for nonlinear systems
This paper proposes a guaranteed cost linear parameter-varying (LPV) output-feedback controller for nonlinear systems. Interpolating a nonlinear system into an LPV system associated with time-varying and state-dependent weighting functions, i.e. the gain-scheduled parameters, allows one to apply various linear system theories and techniques for analyzing and synthesizing nonlinear systems. Consequently, with the real-time measurable time-varying parameters, this paper presents an affine type of linear parameter-dependent output-feedback controller, i.e. an LPV controller, for the given LPV plant. As a cost, we consider an upper bound of states and input energy called LQ performance, under all admissible grades of the gain-scheduled parameters. This approach is more flexible for the nonlinear systems than existing approaches in the literature because the other controllers excessively depend on the structure of the nonlinear systems.