Sliding Mode Control for a Class of Linear Infinite-Dimensional Systems

• 成果类型: Article
• 署名作者: Balogoun, Ismaila; Marx, Swann; Plestan, Franck
• 署名单位: Centre National de la Recherche Scientifique (CNRS); Nantes Universite; CNRS - Institute for Information Sciences & Technologies (INS2I); Ecole Centrale de Nantes
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3529282
• 发表日期: 2025
• 关键词: Boundary control; ACTIVE DISTURBANCE; rejection control; integral action; stabilization; equation; SUBJECT; DESIGN; CONTROLLABILITY

摘要

This article deals with the stabilization of a class of linear infinite-dimensional systems with unbounded control operators and subject to a boundary disturbance. We assume that there exists a linear feedback law that makes the origin of the closed-loop system globally asymptotically stable in the absence of disturbance. To achieve our objective, we follow a sliding mode strategy, and we add another term to this controller in order to reject the disturbance. We prove the existence of solutions to the closed-loop system and its global asymptotic stability, while making sure the disturbance is rejected.