{"title":"非线性反馈系统有限吸引域的估计方法","authors":"C. Manfredi","doi":"10.1109/CDC.1989.70283","DOIUrl":null,"url":null,"abstract":"The problem of determining a finite region of attraction of the state-space origin is considered for the class of nonlinear control systems with scalar nonlinear feedback. A simple procedure that does not require the verification of any frequency domain condition is described. It is a direct method in the time domain, specifically tailored to the particular nonlinear function under consideration. Comparison of the results obtained by the present method with those of classical approaches is encouraging, demonstrating the favorable behavior of the proposed technique.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A method for estimating finite domains of attraction for nonlinear feedback systems\",\"authors\":\"C. Manfredi\",\"doi\":\"10.1109/CDC.1989.70283\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The problem of determining a finite region of attraction of the state-space origin is considered for the class of nonlinear control systems with scalar nonlinear feedback. A simple procedure that does not require the verification of any frequency domain condition is described. It is a direct method in the time domain, specifically tailored to the particular nonlinear function under consideration. Comparison of the results obtained by the present method with those of classical approaches is encouraging, demonstrating the favorable behavior of the proposed technique.<<ETX>>\",\"PeriodicalId\":156565,\"journal\":{\"name\":\"Proceedings of the 28th IEEE Conference on Decision and Control,\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1989-12-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 28th IEEE Conference on Decision and Control,\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1989.70283\",\"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 28th IEEE Conference on Decision and Control,","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1989.70283","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A method for estimating finite domains of attraction for nonlinear feedback systems
The problem of determining a finite region of attraction of the state-space origin is considered for the class of nonlinear control systems with scalar nonlinear feedback. A simple procedure that does not require the verification of any frequency domain condition is described. It is a direct method in the time domain, specifically tailored to the particular nonlinear function under consideration. Comparison of the results obtained by the present method with those of classical approaches is encouraging, demonstrating the favorable behavior of the proposed technique.<>