Constrained Feedback Stabilization for Bilinear Parabolic Systems

Ali  Boutoulout; Azzeddine  Tsouli

doi:10.4236/ica.2015.62011

Azzeddine Tsouli^*, Ali Boutoulout

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.

Keywords: Bilinear Parabolic Systems, Constrained Feedback Stabilisation, Decay Estimate, Robustness

Cite this paper: Tsouli, A. and Boutoulout, A. (2015) Constrained Feedback Stabilization for Bilinear Parabolic Systems. Intelligent Control and Automation, 6, 103-115. doi: 10.4236/ica.2015.62011.

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