Adaptive virtual autobalancing for a magnetic rotor with unknown dynamic imbalance

This paper presents an extension of the adaptive virtual autobalancing controller for a rigid, statically unbalanced rotor, previously proposed by the authors (1995), to the case of a rigid, dynamically unbalanced rotor. The state equations of the controller are based on the equations of motion of a multiple-plane autobalancer, and the interaction between rotor and autobalancer is emulated using a pair of magnetic actuators. It is shown in simulation that the adaptive virtual autobalancing controller can achieve stabilization of rotor motion as well as adaptation to changes in imbalance.