Model development and adaptive imbalance vibration control of magnetic suspended system

A system model is developed to describe the translational and rotational motion of an active-magnetic-bearing-suspended rigid rotor of a single-gimbal control moment gyro (SCMG) onboard a rigid satellite. This model closely reflects the motion characteristics of the rotor by considering the dynamic and static imbalance as well as the coupling between the gimbal's and the rotor's motion on a satellite platform. Adaptive autocentering control is strictly constructed for the preceding rotor with unknown dynamic imbalance. The rotor achieves its rotation about the principal axis of inertia by identifying the little rotational angles from the geometric axis to the principal axis and then using the results to tune a stabilizing controller, which is composed of a decentralized PD controller with cross-axis proportional gains and high-pass and low-pass filters. The main disturbance in the wheel spinning can thereby be completely removed and the vibration acting on the satellite can be attenuated.