Rejection of Sinusoidal Disturbances With Unknown Slowly Time-Varying Frequencies for Linear Time-Invariant Systems

• 成果类型: Article
• 署名作者: Stewart, Jacob; Ioannou, Petros
• 署名单位: University of Southern California
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3367795
• 发表日期: 2024
• 页码: 5531-5537
• 关键词: Time-frequency analysis; Frequency control; mathematical models; Analytical models; Adaptation models; Time-varying systems; vectors; disturbance rejection; robust adaptive control; unknown sinusoidal disturbance suppression; unknown time-varying frequencies

摘要

In recent years, adaptive schemes have been developed to reject sinusoidal disturbances with unknown frequencies, phases, and amplitudes. However, the analysis methods typically used are only suitable for sinusoidal disturbances with piecewise constant frequencies, ignoring smooth continuous variations. This note proposes a robust adaptive scheme to reject output disturbances dominated by sinusoidal terms with unknown time-varying frequencies. The performance is first analyzed in the ideal case where all the frequencies and their derivatives are known exactly to establish a performance baseline. Then, a computationally tractable adaptive algorithm is proposed and analyzed for the more realistic unknown frequency case, and simulations are used to demonstrate the performance of the adaptive scheme.