Asymptotic stabilization for a wave equation with periodic disturbance | |
Wei, Jing3; Feng, Hongyinping3; Guo, Bao-Zhu1,2 | |
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. |
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