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Constrained Feedback Stabilization for Bilinear Parabolic Systems
TSI Team, MACS Laboratory, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco
TSI Team, MACS Laboratory, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco
- 1 TSI Team, MACS Laboratory, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco
- 2 TSI Team, MACS Laboratory, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco
Intelligent Control and Automation·Volume 06 (2015)·Pages 103–115·Published 30 March 2015·DOI10.4236/ica.2015.62011
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Abstract
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.
KeywordsBilinear Parabolic SystemsConstrained Feedback StabilisationDecay EstimateRobustness
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