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Boundary stabilization for axially moving Kirchhoff string under fractional PI control
Cheng, Yi1; Guo, Bao-Zhu2,3,4; Wu, Yuhu5
2022-02-22
Source PublicationZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN0044-2267
Pages22
AbstractIn this paper, we investigate vibration control for an axially moving Kirchhoff string. A fractional PI boundary control is applied transversally to the right boundary and the transverse vibration of the system is shown to be suppressed. By constructing an auxiliary equivalent system (PDE-ODE) and a novel energy like function, the well-posedness and exponential stability of the closed-loop system are established by means of the Faedo-Galerkin method and the Lyapunov method. The effectiveness of the proposed controller is verified by a numerical simulation using finite element method.
DOI10.1002/zamm.202100524
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[62173062] ; National Natural Science Foundation of China[12131008] ; Natural Science Foundation of Liaoning Province[2020-MS-290]
WOS Research AreaMathematics ; Mechanics
WOS SubjectMathematics, Applied ; Mechanics
WOS IDWOS:000759079100001
PublisherWILEY-V C H VERLAG GMBH
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/60015
Collection中国科学院数学与系统科学研究院
Corresponding AuthorGuo, Bao-Zhu
Affiliation1.Bohai Univ, Sch Math Sci, Jinzhou, Peoples R China
2.Acad Sinica, Acad Math & Syst Sci, Lab Syst & Control, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China
4.North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China
5.Dalian Univ Technol, Sch Control Sci & Engn, Dalian, Peoples R China
Recommended Citation
GB/T 7714
Cheng, Yi,Guo, Bao-Zhu,Wu, Yuhu. Boundary stabilization for axially moving Kirchhoff string under fractional PI control[J]. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK,2022:22.
APA Cheng, Yi,Guo, Bao-Zhu,&Wu, Yuhu.(2022).Boundary stabilization for axially moving Kirchhoff string under fractional PI control.ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK,22.
MLA Cheng, Yi,et al."Boundary stabilization for axially moving Kirchhoff string under fractional PI control".ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK (2022):22.
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