{"title":"线性分数表示工具箱(LFRT)的扩展","authors":"J. Magni","doi":"10.1109/CACSD.2004.1393886","DOIUrl":null,"url":null,"abstract":"The initial version of linear fractional representation toolbox was mostly devoted to modelling with a special emphasis to LFT order reduction. An LFT representation can be viewed as the realization of a symbolic expression, therefore, scheduled gains are LFTs. This paper presents an extension of this toolbox to scheduled feedback design in LFT form. The well-posedness problem of such feedback gains is addressed. In addition, some classical analysis techniques (Nyquist, Bode, step responses...) are adapted to LFT objects via parameter gridding","PeriodicalId":111199,"journal":{"name":"2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508)","volume":"44 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Extensions of the linear fractional representation toolbox (LFRT)\",\"authors\":\"J. Magni\",\"doi\":\"10.1109/CACSD.2004.1393886\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The initial version of linear fractional representation toolbox was mostly devoted to modelling with a special emphasis to LFT order reduction. An LFT representation can be viewed as the realization of a symbolic expression, therefore, scheduled gains are LFTs. This paper presents an extension of this toolbox to scheduled feedback design in LFT form. The well-posedness problem of such feedback gains is addressed. In addition, some classical analysis techniques (Nyquist, Bode, step responses...) are adapted to LFT objects via parameter gridding\",\"PeriodicalId\":111199,\"journal\":{\"name\":\"2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508)\",\"volume\":\"44 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-09-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CACSD.2004.1393886\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CACSD.2004.1393886","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Extensions of the linear fractional representation toolbox (LFRT)
The initial version of linear fractional representation toolbox was mostly devoted to modelling with a special emphasis to LFT order reduction. An LFT representation can be viewed as the realization of a symbolic expression, therefore, scheduled gains are LFTs. This paper presents an extension of this toolbox to scheduled feedback design in LFT form. The well-posedness problem of such feedback gains is addressed. In addition, some classical analysis techniques (Nyquist, Bode, step responses...) are adapted to LFT objects via parameter gridding
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