{"title":"无漂控制仿射系统渐近镇定的系统设计工具","authors":"L. Moreau, D. Aeyels","doi":"10.1109/CDC.1999.832898","DOIUrl":null,"url":null,"abstract":"We present a constructive stabilization algorithm for a particular class of driftless control affine systems. The algorithm makes systematic use of homogeneity, Lie brackets of vectorfields and Lie algebraic properties, and the resulting feedback laws are periodically time-varying.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"A systematic design tool for asymptotic stabilization of driftless control affine systems\",\"authors\":\"L. Moreau, D. Aeyels\",\"doi\":\"10.1109/CDC.1999.832898\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a constructive stabilization algorithm for a particular class of driftless control affine systems. The algorithm makes systematic use of homogeneity, Lie brackets of vectorfields and Lie algebraic properties, and the resulting feedback laws are periodically time-varying.\",\"PeriodicalId\":137513,\"journal\":{\"name\":\"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-12-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"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.1999.832898\",\"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.1999.832898","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A systematic design tool for asymptotic stabilization of driftless control affine systems
We present a constructive stabilization algorithm for a particular class of driftless control affine systems. The algorithm makes systematic use of homogeneity, Lie brackets of vectorfields and Lie algebraic properties, and the resulting feedback laws are periodically time-varying.