Integral Action Feedback Design for Conservative Abstract Systems in the Presence of Input Nonlinearities

• 成果类型: Article
• 署名作者: Ma, Ling; Andrieu, Vincent; Astolfi, Daniele; Bajodek, Mathieu; Xu, Cheng-Zhong; Lou, Xuyang
• 署名单位: Jiangnan University; Universite Lyon 1; Centre National de la Recherche Scientifique (CNRS)
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3574637
• 发表日期: 2025
• 关键词: OUTPUT REGULATION; boundary control; linear-systems; stabilization; controller

摘要

In this article, we present a stabilization feedback law with integral action for conservative abstract linear systems subjected to input nonlinearities. Based on the designed control law, we first prove the well-posedness using nonlinear semigroups theory and global asymptotic stability of the origin for the closed-loop system by constructing a weak Lyapunov functional. Second, as an illustration, we apply the results to a wave equation with integral action in two different cases: bounded control operator and unbounded control operator.