Boundary Stability Criterion for a Nonlinear Axially Moving Beam

doi:10.1109/TAC.2021.3124754

	Boundary Stability Criterion for a Nonlinear Axially Moving Beam
	Cheng, Yi 3; Wu, Yuhu 4,5; Guo, Bao-Zhu 1,2
刊名	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
	2022-11-01
卷号	67 期号:11 页码:5714-5729
关键词	Mathematical models Stability criteria Structural beams Vibrations Strain Numerical stability Feedback control Absolute stabilization axially moving beam boundary control exponential stability
ISSN号	0018-9286
DOI	10.1109/TAC.2021.3124754
英文摘要	This article deals with, in the framework of absolute stability, boundary stabilization for a nonlinear axially moving beam under boundary velocity feedback controls. The nonlinear boundary control that satisfies a slope-sector condition covering many types of nonlinear control schemes is a negative feedback of the transverse velocity at the right eyelet of the moving beam. Under the nonlinear control scheme, the well-posedness of the nonlinear partial differential equation, which depends continuously on the initial value is investigated by means of the Faedo-Galerkin approximation and priori estimates. By exploiting the integral-type multiplier method, the exponential stability of the closed-loop system is established, where a novel energy like function is constructed. The numerical simulation examples using the finite element method are presented to illustrate the effectiveness of the established criterion of the controller.
资助项目	National Natural Science Foundation of China[61773090] ; National Natural Science Foundation of China[62173062] ; National Natural Science Foundation of China[12131008]
WOS研究方向	Automation & Control Systems ; Engineering
语种	英语
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
WOS记录号	WOS:000873894800006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60789]
专题	中国科学院数学与系统科学研究院
通讯作者	Wu, Yuhu
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China 3.Bohai Univ, Sch Math Sci, Jinzhou 121013, Peoples R China 4.Dalian Univ Technol, Key Lab Intelligent Control & Optimizat Ind Equip, Minist Educ, Dalian 116024, Peoples R China 5.Dalian Univ Technol, Sch Control Sci & Engn, Dalian 116024, Peoples R China
推荐引用方式 GB/T 7714	Cheng, Yi,Wu, Yuhu,Guo, Bao-Zhu. Boundary Stability Criterion for a Nonlinear Axially Moving Beam[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2022,67(11):5714-5729.
APA	Cheng, Yi,Wu, Yuhu,&Guo, Bao-Zhu.(2022).Boundary Stability Criterion for a Nonlinear Axially Moving Beam.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,67(11),5714-5729.
MLA	Cheng, Yi,et al."Boundary Stability Criterion for a Nonlinear Axially Moving Beam".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 67.11(2022):5714-5729.