{"title":"Finite-time <i>H</i><sub>∞</sub> control for a classof Takagi–Sugeno fuzzy singular systems","authors":"Qiang Jin, Liying Sun, Renming Yang","doi":"10.1177/09596518231199207","DOIUrl":null,"url":null,"abstract":"This article studies the finite-time stabilization and finite-time H ∞ control problems for a class of Takagi–Sugeno fuzzy singular systems and proposes a finite-time H ∞ fuzzy controller to enable the system to cope with external disturbances, and the closed-loop system state converges to the equilibrium point. Before designing the controller, impulse controllability of the Takagi–Sugeno fuzzy singular system is discussed. Then, a finite-time H ∞ fuzzy controller is designed, and the finite-time stabilization conditions of the Takagi–Sugeno fuzzy singular system are expressed by linear matrix inequality. Finally, the simulation outcomes of a nonlinear singular system demonstrate that the designed controller has a good suppression effect on external disturbances, and the closed-loop system state converges to the equilibrium point in finite-time T and remains at the equilibrium point after T.","PeriodicalId":20638,"journal":{"name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","volume":"11 1","pages":"0"},"PeriodicalIF":1.4000,"publicationDate":"2023-09-20","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":"1085","ListUrlMain":"https://doi.org/10.1177/09596518231199207","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}
引用次数: 0
Abstract
This article studies the finite-time stabilization and finite-time H ∞ control problems for a class of Takagi–Sugeno fuzzy singular systems and proposes a finite-time H ∞ fuzzy controller to enable the system to cope with external disturbances, and the closed-loop system state converges to the equilibrium point. Before designing the controller, impulse controllability of the Takagi–Sugeno fuzzy singular system is discussed. Then, a finite-time H ∞ fuzzy controller is designed, and the finite-time stabilization conditions of the Takagi–Sugeno fuzzy singular system are expressed by linear matrix inequality. Finally, the simulation outcomes of a nonlinear singular system demonstrate that the designed controller has a good suppression effect on external disturbances, and the closed-loop system state converges to the equilibrium point in finite-time T and remains at the equilibrium point after T.
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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This journal is a member of the Committee on Publication Ethics (COPE).cts this diversity by giving prominence to experimental application and industrial studies.
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