Boundary stabilization for axially moving Kirchhoff string under fractional PI control

doi:10.1002/zamm.202100524

	Boundary stabilization for axially moving Kirchhoff string under fractional PI control
	Cheng, Yi 2; Guo, Bao-Zhu 1,3,5; Wu, Yuhu 4
刊名	ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
	2022-02-22
页码	22
ISSN号	0044-2267
DOI	10.1002/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
出版者	WILEY-V C H VERLAG GMBH
WOS记录号	WOS:000759079100001
内容类型	期刊论文
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.Acad Sinica, Acad Math & Syst Sci, Lab Syst & Control, Beijing 100190, Peoples R China 2.Bohai Univ, Sch Math Sci, Jinzhou, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China 4.Dalian Univ Technol, Sch Control Sci & Engn, Dalian, Peoples R China 5.North China Elect Power Univ, Sch Math & Phys, Beijing 102206, 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.