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Asymptotic stabilization for a wave equation with periodic disturbance

文献类型：期刊论文

作者Wei, Jing1; Feng, Hongyinping1; Guo, Bao-Zhu2,3
刊名IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION
出版日期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
DOI10.1093/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
WOS记录号WOS:000582721100012
出版者OXFORD UNIV PRESS
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.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.

入库方式： OAI收割

来源：数学与系统科学研究院

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