{"title":"非线性系统的全局反馈线性化","authors":"D. Cheng, T. Tarn, A. Isidori","doi":"10.1109/CDC.1984.272276","DOIUrl":null,"url":null,"abstract":"Considering a nonlinear system, ¿: x = f(x) + ¿i=1 m gi (x)ui, over an open subset of Rn (maybe Rn) this paper presents necessary conditions and sufficient conditions for ¿ to be globally feedback equivalent to a controllable linear system.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"72 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1984-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"25","resultStr":"{\"title\":\"Global feedback linearization of nonlinear systems\",\"authors\":\"D. Cheng, T. Tarn, A. Isidori\",\"doi\":\"10.1109/CDC.1984.272276\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Considering a nonlinear system, ¿: x = f(x) + ¿i=1 m gi (x)ui, over an open subset of Rn (maybe Rn) this paper presents necessary conditions and sufficient conditions for ¿ to be globally feedback equivalent to a controllable linear system.\",\"PeriodicalId\":269680,\"journal\":{\"name\":\"The 23rd IEEE Conference on Decision and Control\",\"volume\":\"72 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1984-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"25\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The 23rd IEEE Conference on Decision and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1984.272276\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The 23rd IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1984.272276","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 25
摘要
考虑一个非线性系统¿:x = f(x) +¿i=1 m gi (x)ui,在Rn(可能是Rn)的开放子集上,给出了¿全局反馈等价于可控线性系统的充分必要条件。
Global feedback linearization of nonlinear systems
Considering a nonlinear system, ¿: x = f(x) + ¿i=1 m gi (x)ui, over an open subset of Rn (maybe Rn) this paper presents necessary conditions and sufficient conditions for ¿ to be globally feedback equivalent to a controllable linear system.