TITLE:
Constrained Feedback Stabilization for Bilinear Parabolic Systems
AUTHORS:
Azzeddine Tsouli, Ali Boutoulout
KEYWORDS:
Bilinear Parabolic Systems, Constrained Feedback Stabilisation, Decay Estimate, Robustness
JOURNAL NAME:
Intelligent Control and Automation,
Vol.6 No.2,
March
30,
2015
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.