Author(s)

Azzeddine Tsouli^*, Ali Boutoulout

TSI Team, MACS Laboratory, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco.

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.

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

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.