{"title":"Extended LMI characterization of some control problems for linear repetitive processes","authors":"W. Paszke, Marcin Boski, E. Rogers","doi":"10.1109/MMAR.2017.8046889","DOIUrl":null,"url":null,"abstract":"In this paper the projection lemma is used as a basis to develop extended linear matrix inequality characterizations of the stability and control problems for both differential and discrete linear repetitive processes. The new results provide novel conditions for output feedback control. Also, the extension to uncertain processes is derived. This new approach enables differential and discrete dynamics to be analysed in unified manner. A numerical example is also given.","PeriodicalId":189753,"journal":{"name":"2017 22nd International Conference on Methods and Models in Automation and Robotics (MMAR)","volume":"7 5","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 22nd International Conference on Methods and Models in Automation and Robotics (MMAR)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMAR.2017.8046889","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 projection lemma is used as a basis to develop extended linear matrix inequality characterizations of the stability and control problems for both differential and discrete linear repetitive processes. The new results provide novel conditions for output feedback control. Also, the extension to uncertain processes is derived. This new approach enables differential and discrete dynamics to be analysed in unified manner. A numerical example is also given.