Rejection of Sinusoidal Disturbances With Unknown Slowly Time-Varying Parameters for MIMO Linear Time-Varying Systems

• 成果类型: Article
• 署名作者: Stewart, Jacob; Ioannou, Petros A.
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2026.3682212
• 发表日期: 2026
• 关键词: INTERNAL-MODEL PRINCIPLE; PERIODIC DISTURBANCES; suppression; controller; tracking

摘要

Effective disturbance rejection technology is important in a variety of industrial applications because disturbances can render products unsafe, unusable, or deteriorate their performance. Many varying disturbances that appear in practice may be modeled as a sum of sinusoidal components with constant or slowly time-varying amplitude and frequency parameters, and many of the systems have dynamics that are well modeled by linear time-invariant or linear time-varying systems. This article analytically studies the rejection of sinusoidal disturbances with time-varying parameters affecting multi-input-multi-output linear time-varying systems. Given different amounts of information about the disturbance, analysis is used to prove that either state feedback, ideal output feedback, or adaptive output feedback can reject the disturbance and reduce the size of the measured output. Simulations are used throughout to demonstrate the results of the analysis.