Constrained Feedback Stabilization for Bilinear Parabolic Systems

• 作者: Abdessamad El Alami Ali Boutoulout Azzeddine Tsouli
• 来源期刊: 智能控制与自动化(英文)
• 学科: 数学
• 关键词: BILINEAR PARABOLIC Systems CONSTRAINED Feedback Stabilisation DECAY Estimate ROBUSTNESS
• 年，卷（期）: 2015,（2）
• 页码范围: 103-115
• 页数: 13页
• 分类号: O1

摘要

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.