{"title":"具有自组织线性输出反馈标称稳定控制器的线性对象的约束Lyapunov问题","authors":"T. Wilson, C. Blackwell","doi":"10.1109/ACC.1990.4174288","DOIUrl":null,"url":null,"abstract":"Given a stabilizing linear output feedback control for a given linear system, we show how to determine if the candidate control is consistent with the constrained Lyapunov problem; i.e., the chosen output feedback can be obtained by the proper choice of a Lyapunov function for the stabilized system. Necessary and sufficient conditions are stated, a solution procedure is developed, and an illustrative example is provided.","PeriodicalId":307181,"journal":{"name":"1990 American Control Conference","volume":"58 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The Constrained Lyapunov Problem Applied to the Case of a Linear Plant with an Ad Hoc Linear Output Feedback Nominal Stabilizing Controller\",\"authors\":\"T. Wilson, C. Blackwell\",\"doi\":\"10.1109/ACC.1990.4174288\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Given a stabilizing linear output feedback control for a given linear system, we show how to determine if the candidate control is consistent with the constrained Lyapunov problem; i.e., the chosen output feedback can be obtained by the proper choice of a Lyapunov function for the stabilized system. Necessary and sufficient conditions are stated, a solution procedure is developed, and an illustrative example is provided.\",\"PeriodicalId\":307181,\"journal\":{\"name\":\"1990 American Control Conference\",\"volume\":\"58 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-05-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1990 American Control Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ACC.1990.4174288\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1990 American Control Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACC.1990.4174288","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Constrained Lyapunov Problem Applied to the Case of a Linear Plant with an Ad Hoc Linear Output Feedback Nominal Stabilizing Controller
Given a stabilizing linear output feedback control for a given linear system, we show how to determine if the candidate control is consistent with the constrained Lyapunov problem; i.e., the chosen output feedback can be obtained by the proper choice of a Lyapunov function for the stabilized system. Necessary and sufficient conditions are stated, a solution procedure is developed, and an illustrative example is provided.