Backstepping observer-based output feedback control for a class of coupled parabolic PDEs with the same diffusion

The objective of this paper is to extend the relaxed conditions on the existence of the backstepping controllers and observers obtained in a recent literature to the case of parabolic Partial Differential Equations (PDEs) with the same diffusion. Moreover, an observer-based output feedback controlle...

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Bibliographic Details
Published in2017 36th Chinese Control Conference (CCC) pp. 1670 - 1675
Main Authors Bai-Nan Liu, Boutat, Driss, Da-Yan Liu
Format Conference Proceeding
LanguageEnglish
Published Technical Committee on Control Theory, CAA 01.07.2017
Subjects
Backstepping
Backstepping controller
Backstepping observer
Convergence
Coupled parabolic partial differential equations
Mathematical model
Observer-based output feedback control
Observers
Output feedback
Stability analysis
Symmetric matrices
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Summary:The objective of this paper is to extend the relaxed conditions on the existence of the backstepping controllers and observers obtained in a recent literature to the case of parabolic Partial Differential Equations (PDEs) with the same diffusion. Moreover, an observer-based output feedback controller is designed for the considered systems with the new conditions. Then, the corresponding exponential stability analysis is provided. Finally, the efficiency of the proposed method is shown by taking a simplified model of Chemical Tubular Reactor.
ISSN:2161-2927
DOI:10.23919/ChiCC.2017.8027591