{"title":"具有可控过渡的不确定混合系统的近似镇定","authors":"Yan Gao, J. Lygeros, M. Quincampoix, N. Seube","doi":"10.1109/CDC.2003.1272853","DOIUrl":null,"url":null,"abstract":"Stabilization of uncertain hybrid systems with controllable transitions is considered. Uncertainty enters in the form of a disturbance input that can affect both the continuous and the discrete dynamics. A method for designing piecewise constant feedback controllers is developed. The controllers achieve approximate exponential convergence of the runs of the closed loop system to the zero level set of a Lyapunov function.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Approximate stabilisation of uncertain hybrid systems with controllable transitions\",\"authors\":\"Yan Gao, J. Lygeros, M. Quincampoix, N. Seube\",\"doi\":\"10.1109/CDC.2003.1272853\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Stabilization of uncertain hybrid systems with controllable transitions is considered. Uncertainty enters in the form of a disturbance input that can affect both the continuous and the discrete dynamics. A method for designing piecewise constant feedback controllers is developed. The controllers achieve approximate exponential convergence of the runs of the closed loop system to the zero level set of a Lyapunov function.\",\"PeriodicalId\":371853,\"journal\":{\"name\":\"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)\",\"volume\":\"6 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-12-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.2003.1272853\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.2003.1272853","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Approximate stabilisation of uncertain hybrid systems with controllable transitions
Stabilization of uncertain hybrid systems with controllable transitions is considered. Uncertainty enters in the form of a disturbance input that can affect both the continuous and the discrete dynamics. A method for designing piecewise constant feedback controllers is developed. The controllers achieve approximate exponential convergence of the runs of the closed loop system to the zero level set of a Lyapunov function.