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Boundary stabilization for axially moving Kirchhoff string under fractional PI control

文献类型：期刊论文

作者Cheng, Yi1; Guo, Bao-Zhu2,3,4; Wu, Yuhu5
刊名ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
出版日期2022-02-22
页码22
ISSN号0044-2267
DOI10.1002/zamm.202100524
英文摘要In 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.
资助项目National Natural Science Foundation of China[62173062] ; National Natural Science Foundation of China[12131008] ; Natural Science Foundation of Liaoning Province[2020-MS-290]
WOS研究方向Mathematics ; Mechanics
语种英语
WOS记录号WOS:000759079100001
出版者WILEY-V C H VERLAG GMBH
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/60014]  
专题中国科学院数学与系统科学研究院
通讯作者Guo, Bao-Zhu
作者单位1.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
推荐引用方式
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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