Adaptive Output Tracking for 1-D Wave Equations Subject to Unknown Harmonic Disturbances

• 成果类型: Article
• 署名作者: Wu, Xiao-Hui; Wang, Jun-Min
• 署名单位: Beijing Institute of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3333797
• 发表日期: 2024
• 页码: 2689-2696
• 关键词: Adaptive; antistable wave equation; error feedback; output tracking; unknown harmonic disturbances

摘要

In this article, we are concerned with an adaptive output tracking problem for 1-D antistable wave equations with unknown harmonic disturbance and reference signals which have both unknown frequencies and amplitudes. The output and disturbance are noncollocated to the control input. First, we construct an auxiliary system and internal model dynamic to restructure the measurable tracking error such that the error consists of these available states. Then, an adaptive method is used to estimate the unknown parameters. Using an invertible transformation, we convert the noncollocated configuration into the collocated ones so that the conventional method can be applied. Finally, error-based feedback is proposed to realize output tracking. Numerical simulations validate these theoretical results.