{"title":"A simplified control scheme for nonlinear feedback system based on operator theory","authors":"Congcong Jia, N. Bu","doi":"10.1109/DDCLS.2018.8516007","DOIUrl":null,"url":null,"abstract":"In this paper, the right coprime factorization method based on operator theory is applied to deal with the stability issue of nonlinear feedback system, wherein the inverse of the right factor obtained from the isomorphism-based factorization method is discussed and is proved to be stable, thus the Bezout identity is satisfied with the designed controllers. Meanwhile, the nonlinear feedback system is stable.","PeriodicalId":6565,"journal":{"name":"2018 IEEE 7th Data Driven Control and Learning Systems Conference (DDCLS)","volume":"28 1","pages":"903-907"},"PeriodicalIF":0.0000,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 IEEE 7th Data Driven Control and Learning Systems Conference (DDCLS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DDCLS.2018.8516007","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, the right coprime factorization method based on operator theory is applied to deal with the stability issue of nonlinear feedback system, wherein the inverse of the right factor obtained from the isomorphism-based factorization method is discussed and is proved to be stable, thus the Bezout identity is satisfied with the designed controllers. Meanwhile, the nonlinear feedback system is stable.