{"title":"R/sup 4/的动态反馈线性化","authors":"J. Lévine, R. Marino","doi":"10.1109/CDC.1990.203992","DOIUrl":null,"url":null,"abstract":"The authors discuss the problem of dynamic feedback linearization for a nonlinear system in R/sup 4/ with two independent controls: the problem is to determine a dynamic compensator so that the closed loop can be expressed as a linear controllable system in suitable local coordinates in the extended state space. The results so far available give a complete characterization of control systems in R/sup 3/ and of control systems in which the number of independent controls is equal to the number of states minus one. For general systems necessary and sufficient conditions have been given, but examples in R/sup 4/ with two controls already show a gap between necessity and sufficiency. This gap is discussed.<<ETX>>","PeriodicalId":287089,"journal":{"name":"29th IEEE Conference on Decision and Control","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"On dynamic feedback linearization in R/sup 4/\",\"authors\":\"J. Lévine, R. Marino\",\"doi\":\"10.1109/CDC.1990.203992\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The authors discuss the problem of dynamic feedback linearization for a nonlinear system in R/sup 4/ with two independent controls: the problem is to determine a dynamic compensator so that the closed loop can be expressed as a linear controllable system in suitable local coordinates in the extended state space. The results so far available give a complete characterization of control systems in R/sup 3/ and of control systems in which the number of independent controls is equal to the number of states minus one. For general systems necessary and sufficient conditions have been given, but examples in R/sup 4/ with two controls already show a gap between necessity and sufficiency. This gap is discussed.<<ETX>>\",\"PeriodicalId\":287089,\"journal\":{\"name\":\"29th IEEE Conference on Decision and Control\",\"volume\":\"3 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-12-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"29th IEEE Conference on Decision and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1990.203992\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"29th IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1990.203992","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The authors discuss the problem of dynamic feedback linearization for a nonlinear system in R/sup 4/ with two independent controls: the problem is to determine a dynamic compensator so that the closed loop can be expressed as a linear controllable system in suitable local coordinates in the extended state space. The results so far available give a complete characterization of control systems in R/sup 3/ and of control systems in which the number of independent controls is equal to the number of states minus one. For general systems necessary and sufficient conditions have been given, but examples in R/sup 4/ with two controls already show a gap between necessity and sufficiency. This gap is discussed.<>
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
