{"title":"约束离散时间TS系统的形状相关最大可控集","authors":"C. Ariño, A. Sala","doi":"10.1109/FUZZ-IEEE.2015.7338071","DOIUrl":null,"url":null,"abstract":"In previous research by the authors, asymptotically necessary and sufficient conditions for shape-independent stability analysis and stabilisation of TS fuzzy systems were provided. This work discusses how to incorporate into them some shape-dependent constraints affecting memberships (only). In this way, a family of polyhedral sets is obtained, certified to belong to the (shape-dependent) domain of attraction, whose accuracy increases as a Polya complexity parameter is incremented.","PeriodicalId":185191,"journal":{"name":"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","volume":"100 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Shape-dependent maximal controllable sets for constrained discrete-time TS systems\",\"authors\":\"C. Ariño, A. Sala\",\"doi\":\"10.1109/FUZZ-IEEE.2015.7338071\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In previous research by the authors, asymptotically necessary and sufficient conditions for shape-independent stability analysis and stabilisation of TS fuzzy systems were provided. This work discusses how to incorporate into them some shape-dependent constraints affecting memberships (only). In this way, a family of polyhedral sets is obtained, certified to belong to the (shape-dependent) domain of attraction, whose accuracy increases as a Polya complexity parameter is incremented.\",\"PeriodicalId\":185191,\"journal\":{\"name\":\"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)\",\"volume\":\"100 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-11-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/FUZZ-IEEE.2015.7338071\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FUZZ-IEEE.2015.7338071","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Shape-dependent maximal controllable sets for constrained discrete-time TS systems
In previous research by the authors, asymptotically necessary and sufficient conditions for shape-independent stability analysis and stabilisation of TS fuzzy systems were provided. This work discusses how to incorporate into them some shape-dependent constraints affecting memberships (only). In this way, a family of polyhedral sets is obtained, certified to belong to the (shape-dependent) domain of attraction, whose accuracy increases as a Polya complexity parameter is incremented.