Saturated Feedback Stabilizability to Trajectories for the Schlogl Parabolic Equation

• 成果类型: Article
• 署名作者: Azmi, Behzad; Kunisch, Karl; Rodrigues, Sergio S.
• 署名单位: University of Konstanz; University of Graz
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3247511
• 发表日期: 2023
• 页码: 7089-7103
• 关键词: Control constraints; finite-dimensional control; internal actuators; receding horizon control (RHC); saturated stabilizing feedback; semilinear parabolic equations

摘要

In this article, it is shown that there exist a finite number of indicator functions, which allow us to track an arbitrary given trajectory of the Schlogl model, by means of an explicit saturated feedback control input whose magnitude is bounded by a constant independent of the given targeted trajectory. Simulations are presented showing the stabilizing performance of the explicit feedback constrained control. Further, such performance is compared to that of a receding horizon constrained control minimizing the classical energy cost functional.