Constrained Feedback Stabilization for Bilinear Parabolic Systems

In this paper, we shall study the stabilization and the robustness of a constrained feedback control for bilinear parabolic systems defined on a Hilbert state space. Then, we shall show that stabilizing such a system reduces stabilization only in its projection on a suitable subspace. For this purpo...

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Bibliographic Details
Published in:Intelligent control and automation 2015-05, Vol.6 (2), p.103-115
Main Authors: Tsouli, Azzeddine, Boutoulout, Ali
Format: Article
Language:English
Subjects:
Constraints
Control systems
Decay
Feedback control
Polynomials
Robustness
Simulation
Stabilization
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Summary:In this paper, we shall study the stabilization and the robustness of a constrained feedback control for bilinear parabolic systems defined on a Hilbert state space. Then, we shall show that stabilizing such a system reduces stabilization only in its projection on a suitable subspace. For this purpose, a new constrained stabilizing feedback control that allows a polynomial decay estimate of the stabilized state is given. Also, the robustness of the considered control is discussed. An illustrating example and simulations are presented.
ISSN:2153-0653
2153-0661
DOI:10.4236/ica.2015.62011