{"title":"联合本地和全局控制器","authors":"C. Prieur, L. Praly","doi":"10.1109/CDC.1999.830096","DOIUrl":null,"url":null,"abstract":"We consider control systems for which we know two stabilizing controllers. The former is \"optimal\" but local, the latter is global. We look for a uniting control law providing a globally stabilizing locally optimal controller. We study several solutions based on continuous, discontinuous, hybrid, time varying controllers. One criterion of selection of a controller is the robustness of the global asymptotic stability to vanishing measurement noise. This leads us in particular to consider a kind of generalization of Krasovskii solutions for hybrid systems.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":"70 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"74","resultStr":"{\"title\":\"Uniting local and global controllers\",\"authors\":\"C. Prieur, L. Praly\",\"doi\":\"10.1109/CDC.1999.830096\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider control systems for which we know two stabilizing controllers. The former is \\\"optimal\\\" but local, the latter is global. We look for a uniting control law providing a globally stabilizing locally optimal controller. We study several solutions based on continuous, discontinuous, hybrid, time varying controllers. One criterion of selection of a controller is the robustness of the global asymptotic stability to vanishing measurement noise. This leads us in particular to consider a kind of generalization of Krasovskii solutions for hybrid systems.\",\"PeriodicalId\":137513,\"journal\":{\"name\":\"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)\",\"volume\":\"70 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-12-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"74\",\"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.1999.830096\",\"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.1999.830096","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We consider control systems for which we know two stabilizing controllers. The former is "optimal" but local, the latter is global. We look for a uniting control law providing a globally stabilizing locally optimal controller. We study several solutions based on continuous, discontinuous, hybrid, time varying controllers. One criterion of selection of a controller is the robustness of the global asymptotic stability to vanishing measurement noise. This leads us in particular to consider a kind of generalization of Krasovskii solutions for hybrid systems.