{"title":"Upper Estimates of the Deviations in Linear Dynamical Systems Subjected to Uncertainty","authors":"M. Khlebnikov","doi":"10.1109/ICARCV.2018.8581300","DOIUrl":null,"url":null,"abstract":"In this talk, the linear dynamical system subjected to uncertainty in the system matrix is considered. Using the linear matrix inequality technique we obtain the upper bounds for the deviations in linear systems. An LMI-based stabilizing feedback procedure is proposed which guarantees “as small as possible” deviations. The results of numerical simulations demonstrate the low conservatism of the obtained bounds.","PeriodicalId":395380,"journal":{"name":"2018 15th International Conference on Control, Automation, Robotics and Vision (ICARCV)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 15th International Conference on Control, Automation, Robotics and Vision (ICARCV)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICARCV.2018.8581300","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
In this talk, the linear dynamical system subjected to uncertainty in the system matrix is considered. Using the linear matrix inequality technique we obtain the upper bounds for the deviations in linear systems. An LMI-based stabilizing feedback procedure is proposed which guarantees “as small as possible” deviations. The results of numerical simulations demonstrate the low conservatism of the obtained bounds.
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