Parameter Estimation and Non-Collocated Adaptive Stabilization for a Wave Equation Subject to General Boundary Harmonic Disturbance

This paper is concerned with the parameter estimation and asymptotic stabilization of a 1-D wave equation that is subject to general harmonic disturbances at the controlled end and suffers from instability at the other end. First, we design an adaptive observer in terms of measured position and velo...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 58; no. 7; pp. 1631 - 1643
Main Authors Guo, Wei, Guo, Bao-Zhu
Format Journal Article
LanguageEnglish
Published New York IEEE 01.07.2013
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Backstepping
boundary control
Combustion
distributed parameter systems
Equations
Harmonic analysis
harmonic disturbance rejection
Observers
Propagation
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Summary:This paper is concerned with the parameter estimation and asymptotic stabilization of a 1-D wave equation that is subject to general harmonic disturbances at the controlled end and suffers from instability at the other end. First, we design an adaptive observer in terms of measured position and velocity. We then adopt the backstepping method for infinite-dimensional systems to design an observer-based output feedback law. The resulting closed-loop system is shown to be asymptotically stable. And the estimates of the parameters converge to the unknown parameters.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2013.2239003