Nonautonomous Controllers and Output Regulation of Unknown Harmonic Signals for Regular Linear Systems

• 成果类型: Article
• 署名作者: Paunonen, Lassi; Afshar, Sepideh
• 署名单位: Tampere University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3324523
• 发表日期: 2024
• 页码: 4320-4335
• 关键词: mathematical models; Linear systems; regulation; Hilbert space; Frequency estimation; Closed loop systems; Adaptation models; output regulation; time varying systems; uncertain systems; Distributed parameter systems

摘要

We introduce general results on well-posedness and output regulation of regular linear systems with nonautonomous controllers. We present a generalization of the internal model principle for time-dependent controllers with asymptotically converging parameters. This general result is utilized in controller design for output tracking and disturbance rejection of harmonic signals with unknown frequencies. Our controller can be flexibly combined with different frequency estimation methods. The results are illustrated in rejection of unknown harmonic disturbances for a 1-D boundary controlled heat equation.