{"title":"Predefined-time adaptive robust control of a class of nonlinear singular systems","authors":"Xiaotong Liu, Renming Yang","doi":"10.1177/09596518241263019","DOIUrl":null,"url":null,"abstract":"In this paper, the predefined-time adaptive robust control problem of a class of nonlinear singular systems is studied. Based on the structural properties of the nonlinear singular systems, we first develop a singular system in dissipative form via an appropriate state feedback, then transform it into an equivalent nonlinear differential-algebraic form, finally we obtain a strictly dissipative differential-algebraic system and apply it to obtain the stability results. Based on this, a predefined-time adaptive robust controller is designed with external disturbances and uncertainty. Finally, the results are applied to the nonlinear singular circuit system, and the effectiveness is verified through simulations conducted on the nonlinear circuit system.","PeriodicalId":20638,"journal":{"name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","volume":"61 1","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1177/09596518241263019","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
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Abstract
In this paper, the predefined-time adaptive robust control problem of a class of nonlinear singular systems is studied. Based on the structural properties of the nonlinear singular systems, we first develop a singular system in dissipative form via an appropriate state feedback, then transform it into an equivalent nonlinear differential-algebraic form, finally we obtain a strictly dissipative differential-algebraic system and apply it to obtain the stability results. Based on this, a predefined-time adaptive robust controller is designed with external disturbances and uncertainty. Finally, the results are applied to the nonlinear singular circuit system, and the effectiveness is verified through simulations conducted on the nonlinear circuit system.
期刊介绍：
Systems and control studies provide a unifying framework for a wide range of engineering disciplines and industrial applications. The Journal of Systems and Control Engineering refleSystems and control studies provide a unifying framework for a wide range of engineering disciplines and industrial applications. The Journal of Systems and Control Engineering reflects this diversity by giving prominence to experimental application and industrial studies.
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