Active Suppression of Multi-frequency Vibration of Rotor Based on Adaptive Immersion & Invariant Theory

This paper describes an active suppression method based on Immersion and Invariance Theory (I&I) for the multi-frequency vibration of rotor in rotating machinery. The approach decomposes the multi-frequency excitation vectorially in Cartesian coordinate system. And the high-order non-linear system is immersed into the low-order system. AMA is used as the actuator in control system. The model of rotor-bearing-AMA system is established, integrating the model of unbalance and misalignment. A zero bias current strategy combined PD-I&I control algorithm is proposed by analyzing the influence of electromagnetic force nonlinearity. An adaptive notch filter is designed to meet the need of multi-speed control and cope with the influence of speed fluctuation. Finally, simulation and experimental research are carried out to verify and analyze the effectiveness of the proposed method to suppress multi-frequency vibration.