Asymptotic stabilization for a wave equation with periodic disturbance

doi:10.1093/imamci/dnz034

	Asymptotic stabilization for a wave equation with periodic disturbance
	Wei, Jing 3; Feng, Hongyinping 3; Guo, Bao-Zhu 1,2
刊名	IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION
	2020-09-01
卷号	37 期号:3 页码:894-917
关键词	stability periodic disturbance coupled system
ISSN号	0265-0754
DOI	10.1093/imamci/dnz034
英文摘要	In this paper, we consider boundary stabilization for a one-dimensional wave equation subject to periodic disturbance. By regarding the periodic signal as a boundary output of a free wave equation, we transform the controlled plant into a coupled wave system. We first design a state observer for the coupled system to estimate the disturbance and the system state simultaneously. An output feedback control is then designed to stabilize the original system. As an application, the result is applied to the stabilization of a wave equation with periodic disturbance suffering in output. Finally, some simulations are presented to validate the theoretical results.
资助项目	National Natural Science Foundation of China[61873153] ; National Natural Science Foundation of China[61873260] ; National Natural Science Foundation of China[11671240] ; Project of Department of Education of Guangdong Province[2017KZDXM087]
WOS研究方向	Automation & Control Systems ; Mathematics
语种	英语
出版者	OXFORD UNIV PRESS
WOS记录号	WOS:000582721100012
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/52415]
专题	中国科学院数学与系统科学研究院
通讯作者	Feng, Hongyinping
作者单位	1.North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China 2.Acad Sinica, Key Lab Syst & Control, Acad Math & Syst Sci, Beijing, Peoples R China 3.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
推荐引用方式 GB/T 7714	Wei, Jing,Feng, Hongyinping,Guo, Bao-Zhu. Asymptotic stabilization for a wave equation with periodic disturbance[J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION,2020,37(3):894-917.
APA	Wei, Jing,Feng, Hongyinping,&Guo, Bao-Zhu.(2020).Asymptotic stabilization for a wave equation with periodic disturbance.IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION,37(3),894-917.
MLA	Wei, Jing,et al."Asymptotic stabilization for a wave equation with periodic disturbance".IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION 37.3(2020):894-917.