S. S. Das, Y. Shtessel, F. Plestan, Shamila Nateghi, R. Rajesh
{"title":"一类非线性系统的增益边界:Lyapunov方法","authors":"S. S. Das, Y. Shtessel, F. Plestan, Shamila Nateghi, R. Rajesh","doi":"10.1109/CCTA41146.2020.9206380","DOIUrl":null,"url":null,"abstract":"In this paper, a novel concept of Gain Margin is defined and studied for a class of Nonlinear Systems specifically the Lur'e type. The corresponding algorithms for computing practical Gain Margins in such systems, based on Lyapunov's Second Method and Linear Matrix Inequalities, are introduced. The efficacy of the proposed algorithms is illustrated in tutorial examples.","PeriodicalId":241335,"journal":{"name":"2020 IEEE Conference on Control Technology and Applications (CCTA)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Gain Margins in a Class of Nonlinear Systems: Lyapunov approach\",\"authors\":\"S. S. Das, Y. Shtessel, F. Plestan, Shamila Nateghi, R. Rajesh\",\"doi\":\"10.1109/CCTA41146.2020.9206380\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a novel concept of Gain Margin is defined and studied for a class of Nonlinear Systems specifically the Lur'e type. The corresponding algorithms for computing practical Gain Margins in such systems, based on Lyapunov's Second Method and Linear Matrix Inequalities, are introduced. The efficacy of the proposed algorithms is illustrated in tutorial examples.\",\"PeriodicalId\":241335,\"journal\":{\"name\":\"2020 IEEE Conference on Control Technology and Applications (CCTA)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 IEEE Conference on Control Technology and Applications (CCTA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CCTA41146.2020.9206380\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 IEEE Conference on Control Technology and Applications (CCTA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCTA41146.2020.9206380","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Gain Margins in a Class of Nonlinear Systems: Lyapunov approach
In this paper, a novel concept of Gain Margin is defined and studied for a class of Nonlinear Systems specifically the Lur'e type. The corresponding algorithms for computing practical Gain Margins in such systems, based on Lyapunov's Second Method and Linear Matrix Inequalities, are introduced. The efficacy of the proposed algorithms is illustrated in tutorial examples.