{"title":"Stabilization of Quasilinear Systems with Multiparameter Singular Perturbations","authors":"M. Dmitriev, D. Makarov","doi":"10.1109/MLSD49919.2020.9247844","DOIUrl":null,"url":null,"abstract":"We consider a construction of a stabilizing controller in a weakly nonlinear singularly perturbed system, where the matrix coefficients depend on state variables. The system contains groups of «slow», «fast» and «ultrafast» variables. The control is constructed by means of the SDRE approach and is based on non-linear corrections of linear composite one.","PeriodicalId":103344,"journal":{"name":"2020 13th International Conference \"Management of large-scale system development\" (MLSD)","volume":"597 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 13th International Conference \"Management of large-scale system development\" (MLSD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MLSD49919.2020.9247844","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
We consider a construction of a stabilizing controller in a weakly nonlinear singularly perturbed system, where the matrix coefficients depend on state variables. The system contains groups of «slow», «fast» and «ultrafast» variables. The control is constructed by means of the SDRE approach and is based on non-linear corrections of linear composite one.
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