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Stabilization and parameter estimation for an Euler-Bernoulli beam equation with uncertain harmonic disturbance under boundary output feedback control
Guo, BZ; Guo, W
2005-05-31
Source PublicationNONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN0362-546X
Volume61Issue:5Pages:671-693
AbstractThis paper is concerned with the boundary stabilization and parameter estimation of an Euler-Bernoulli beam equation with one end fixed, and control and uncertain amplitude of harmonic disturbance at another end. A high-gain adaptive regulator is designed in terms of measured collocated end velocity. The existence and uniqueness of the classical solution as well as smooth solution of the closed-loop system are justified. It is shown that the state of the system approaches the standstill as time goes to infinity and meanwhile the estimated parameter converges to the unknown parameter. (c) 2004 Elsevier Ltd. All rights reserved.
Keywordbeam equation harmonic disturbance rejection existence and uniqueness of solution
DOI10.1016/j.na.2004.11.007
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000228442200001
PublisherPERGAMON-ELSEVIER SCIENCE LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/2157
Collection中国科学院数学与系统科学研究院
Corresponding AuthorGuo, BZ
Affiliation1.Acad Sinica, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
2.Univ Witwatersrand, Sch Comp & Appl Math, ZA-2050 Wits, Johannesburg, South Africa
Recommended Citation
GB/T 7714
Guo, BZ,Guo, W. Stabilization and parameter estimation for an Euler-Bernoulli beam equation with uncertain harmonic disturbance under boundary output feedback control[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2005,61(5):671-693.
APA Guo, BZ,&Guo, W.(2005).Stabilization and parameter estimation for an Euler-Bernoulli beam equation with uncertain harmonic disturbance under boundary output feedback control.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,61(5),671-693.
MLA Guo, BZ,et al."Stabilization and parameter estimation for an Euler-Bernoulli beam equation with uncertain harmonic disturbance under boundary output feedback control".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 61.5(2005):671-693.
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