Local Output Feedback Stabilization of a Reaction-Diffusion Equation With Saturated Actuation

• 成果类型: Article
• 署名作者: Lhachemi, Hugo; Prieur, Christophe
• 署名单位: Centre National de la Recherche Scientifique (CNRS); Universite Paris Saclay; Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS)
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3144609
• 发表日期: 2023
• 页码: 564-571
• 关键词: Domain of attraction; Output feedback; reaction-diffusion equation; saturated control

摘要

This article is concerned with the output feedback stabilization of a reaction-diffusion equation by means of bounded control inputs in the presence of saturations. Using a finite-dimensional controller composed of an observer coupled with a finite-dimensional state-feedback, we derive a set of conditions ensuring the stability of the closed-loop plant while estimating the associated domain of attraction in the presence of saturations. This set of conditions is shown to be always feasible for an order of the observer selected large enough. The stability analysis relies on Lyapunov functionals along with a generalized sector condition classically used to study the stability of linear finite-dimensional plants in the presence of saturations.