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Parameter estimation and stabilization for a wave equation with boundary output harmonic disturbance and non-collocated control
Guo, Wei1; Guo, Bao-Zhu2,3,4; Shao, Zhi-Chao1
2011-07-25
Source PublicationINTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
ISSN1049-8923
Volume21Issue:11Pages:1297-1321
AbstractThis paper is concerned with the parameter estimation and stabilization of a one-dimensional wave equation with harmonic disturbance suffered by boundary observation at one end and the non-collocated control at the other end. An adaptive observer is designed in terms of measured velocity corrupted by harmonic disturbance with unknown magnitude. The backstepping method for infinite-dimensional system is adopted in the design of the feedback law. It is shown that the resulting closed-loop system is asymptotically stable. Meanwhile, the estimated parameter is shown to be convergent to the unknown parameter as time goes to infinity. Copyright (C) 2010 John Wiley & Sons, Ltd.
Keywordvibrating string harmonic disturbance rejection boundary control backstepping
DOI10.1002/rnc.1650
Language英语
Funding ProjectNational Science Foundation of China ; National Research Foundation of South Africa ; National Basic Research Program of China[2011CB808002] ; Phase 3 of University of International Business and Economics[73300020]
WOS Research AreaAutomation & Control Systems ; Engineering ; Mathematics
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Applied
WOS IDWOS:000292498400004
PublisherWILEY-BLACKWELL
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/12583
Collection系统科学研究所
Corresponding AuthorGuo, Wei
Affiliation1.Univ Int Business & Econ, Sch Informat Technol & Management, Beijing 100029, Peoples R China
2.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China
4.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa
Recommended Citation
GB/T 7714
Guo, Wei,Guo, Bao-Zhu,Shao, Zhi-Chao. Parameter estimation and stabilization for a wave equation with boundary output harmonic disturbance and non-collocated control[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,2011,21(11):1297-1321.
APA Guo, Wei,Guo, Bao-Zhu,&Shao, Zhi-Chao.(2011).Parameter estimation and stabilization for a wave equation with boundary output harmonic disturbance and non-collocated control.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,21(11),1297-1321.
MLA Guo, Wei,et al."Parameter estimation and stabilization for a wave equation with boundary output harmonic disturbance and non-collocated control".INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 21.11(2011):1297-1321.
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