Output feedback stabilization for a Kirchhoff‐type nonlinear beam with general corrupted boundary observation

Summary This paper is concerned with the boundary output feedback stabilization for a Kirchhoff‐type nonlinear beam equation with boundary observation subject to a general disturbance. The active disturbance rejection control approach is adopted to design the controller and the disturbance estimator...

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Bibliographic Details
Published inInternational journal of robust and nonlinear control Vol. 27; no. 16; pp. 3280 - 3295
Main Authors Guo, Wei, Chen, Yunlan, Feng, Hongyinping
Format Journal Article
LanguageEnglish
Published Chichester, UK John Wiley & Sons, Ltd 10.11.2017
Wiley Subscription Services, Inc
Subjects
Active control
asymptotical stability
Closed loop systems
Control theory
disturbance rejection
Feedback control systems
Feedback loops
Galerkin approximation
Kirchhoff‐type beam
Output feedback
Stabilization
Uniqueness
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ISSN1049-8923
1099-1239
DOI10.1002/rnc.3740

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Summary:Summary This paper is concerned with the boundary output feedback stabilization for a Kirchhoff‐type nonlinear beam equation with boundary observation subject to a general disturbance. The active disturbance rejection control approach is adopted to design the controller and the disturbance estimator. By this approach, the disturbance is estimated by a relatively independent estimator and then canceled in the feedback loop. The existence and uniqueness of the classical solution to the closed‐loop system are proved. The asymptotical convergence of the closed‐loop system is obtained. Copyright © 2017 John Wiley & Sons, Ltd.
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ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.3740