A Review of Control Techniques for Imbalance-Induced Vibration in Magnetically Suspended Rotor Systems

Magnetically suspended rotor systems are widely used in high-speed and precision applications, where mass imbalance-induced synchronous vibration remains a primary challenge affecting stability and control performance. Numerous control strategies have been developed to suppress such vibrations, which can be broadly categorized into frequency-domain and time-domain approaches. Frequency-domain methods, represented by various forms of notch filters, selectively attenuate synchronous components with high robustness and clear physical interpretation. Time-domain methods, including the influence coefficient method and adaptive filtering techniques, offer strong adaptability and high suppression accuracy under varying operating conditions. This review summarizes the principles, advantages, limitations, and engineering applications of these techniques, highlighting their evolution from single-channel models to multi-channel and multi-stage implementations. Finally, current challenges and future research directions are discussed to provide guidance for the development of imbalance suppression strategies in advanced AMB systems.