{"title":"非线性观测器:圆准则设计","authors":"M. Arcak, P. Kokotovic","doi":"10.1109/CDC.1999.833315","DOIUrl":null,"url":null,"abstract":"We design observers for a class of systems with monotone sector nonlinearities. The resulting nonlinear estimation error system is represented as the feedback interconnection of a linear system and a time-varying multivariable sector nonlinearity. Using LMI software, an observer gain matrix is computed to satisfy the circle criterion and, hence, to drive the estimation error to zero. The new observer is incorporated in output feedback control, as illustrated by an example.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":"29 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"60","resultStr":"{\"title\":\"Nonlinear observers: a circle criterion design\",\"authors\":\"M. Arcak, P. Kokotovic\",\"doi\":\"10.1109/CDC.1999.833315\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We design observers for a class of systems with monotone sector nonlinearities. The resulting nonlinear estimation error system is represented as the feedback interconnection of a linear system and a time-varying multivariable sector nonlinearity. Using LMI software, an observer gain matrix is computed to satisfy the circle criterion and, hence, to drive the estimation error to zero. The new observer is incorporated in output feedback control, as illustrated by an example.\",\"PeriodicalId\":137513,\"journal\":{\"name\":\"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)\",\"volume\":\"29 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-12-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"60\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1999.833315\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1999.833315","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We design observers for a class of systems with monotone sector nonlinearities. The resulting nonlinear estimation error system is represented as the feedback interconnection of a linear system and a time-varying multivariable sector nonlinearity. Using LMI software, an observer gain matrix is computed to satisfy the circle criterion and, hence, to drive the estimation error to zero. The new observer is incorporated in output feedback control, as illustrated by an example.