Optimal Steady-State Regulation by State Feedback

• 成果类型: Article
• 署名作者: Hafez, Mohamed A.; Uzeda, Erick Mejia; Broucke, Mireille E.
• 署名单位: University of Toronto
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3393791
• 发表日期: 2024
• 页码: 6042-6057
• 关键词: Steady-state; regulation; State feedback; COSTS; regulators; Adaptation models; optimization; Averaging analysis; cerebellum; optimal steady-state (OSS) control; output regulation

摘要

This article formulates the optimal steady-state regulation (OSSR) problem. In addition to asymptotic stability and regulation, the problem includes a cost on maintaining steady-state inputs and outputs to controllers contributing to regulation, contrasting with standard optimal steady-state problems that only include a cost on the steady-state inputs and outputs of the plant. Motivated by applications in neuroscience, we develop a two-timescale adaptive control architecture to solve a specific instance of the OSSR problem for the case of two control modules: an adaptive internal model and a state feedback. The correctness of the design is proved using two-timescale averaging analysis.