Stability Study for Vibration Control of an Active Magnetic Bearing Supported Rotor Mounted on a Moving Base

摘要

Active Magnetic Bearings (AMBs) suspend rotor systems and also facilitate active rotor vibration control through feedback control law for appropriate contactless electromagnetic force. However for rotors on moving bases e.g. ships, airplanes, the equations of rotor motion become parametrically excited and so a feedback control methodology, e.g. with Proportional Derivative (PD) control law needs assessment of stability. It is observed that the equations of motion of a rigid rotor with respect to base, translating and pitching in one plane, under the action of linearized electromagnetic forces from AMBs at ends, take the form of forced damped Mathieu equations. This paper first attempts the stability analysis to tune controller parameters and then uses the Active Disturbance Rejection Control (ADRC) with Extended State Observers (ESO) to reject disturbances. Simulated results show considerable rotor vibration suppression and thus prove AMBs as effective suspensions for vibration control of rotor-shaft systems on moving platforms.