Asymptotic stabilization for a wave equation with periodic disturbance

doi:10.1093/imamci/dnz034

CSpace

	Asymptotic stabilization for a wave equation with periodic disturbance
	Wei, Jing 1; Feng, Hongyinping 1; Guo, Bao-Zhu 2,3
	2020-09-01
发表期刊	IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION
ISSN	0265-0754
卷号	37 期号:3 页码:894-917
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.
关键词	stability periodic disturbance coupled system
DOI	10.1093/imamci/dnz034
收录类别	SCI
语种	英语
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
WOS类目	Automation & Control Systems ; Mathematics, Applied
WOS记录号	WOS:000582721100012
出版者	OXFORD UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52416
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.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China 2.Acad Sinica, Key Lab Syst & Control, Acad Math & Syst Sci, Beijing, Peoples R China 3.North China Elect Power Univ, Dept Math & Phys, Beijing 102206, 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.