{"title":"基于切换观测器的多面体不确定连续时间切换线性系统的二次稳定性","authors":"T. Soga, N. Otsuka","doi":"10.1109/MED.2011.5983100","DOIUrl":null,"url":null,"abstract":"In this paper, we study a quadratic stabilizability problem via estimated state feedback for uncertain continuous-time switched linear systems whose subsystem's matrices are represented as a polytopic linear combination of vertex matrices. Firstly, sufficient conditions for polytopic uncertain continuous-time switched linear systems to be quadratically stabilizable via state feedback are summarized. Next, sufficient conditions for polytopic uncertain switched linear systems to be quadratically stabilizable via estimated state feedback are presented. The obtained result is an extension of the result of [14] to the polytopic uncertain subsystems with switched outputs. Further, a numerical example is also investigated.","PeriodicalId":146203,"journal":{"name":"2011 19th Mediterranean Conference on Control & Automation (MED)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2011-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Quadratic stabilizability for polytopic uncertain continuous-time switched linear systems via switched observer\",\"authors\":\"T. Soga, N. Otsuka\",\"doi\":\"10.1109/MED.2011.5983100\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study a quadratic stabilizability problem via estimated state feedback for uncertain continuous-time switched linear systems whose subsystem's matrices are represented as a polytopic linear combination of vertex matrices. Firstly, sufficient conditions for polytopic uncertain continuous-time switched linear systems to be quadratically stabilizable via state feedback are summarized. Next, sufficient conditions for polytopic uncertain switched linear systems to be quadratically stabilizable via estimated state feedback are presented. The obtained result is an extension of the result of [14] to the polytopic uncertain subsystems with switched outputs. Further, a numerical example is also investigated.\",\"PeriodicalId\":146203,\"journal\":{\"name\":\"2011 19th Mediterranean Conference on Control & Automation (MED)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-06-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 19th Mediterranean Conference on Control & Automation (MED)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MED.2011.5983100\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 19th Mediterranean Conference on Control & Automation (MED)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MED.2011.5983100","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Quadratic stabilizability for polytopic uncertain continuous-time switched linear systems via switched observer
In this paper, we study a quadratic stabilizability problem via estimated state feedback for uncertain continuous-time switched linear systems whose subsystem's matrices are represented as a polytopic linear combination of vertex matrices. Firstly, sufficient conditions for polytopic uncertain continuous-time switched linear systems to be quadratically stabilizable via state feedback are summarized. Next, sufficient conditions for polytopic uncertain switched linear systems to be quadratically stabilizable via estimated state feedback are presented. The obtained result is an extension of the result of [14] to the polytopic uncertain subsystems with switched outputs. Further, a numerical example is also investigated.
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