Adaptive Non-Stationary Vibration Control for Magnetic Bearing System from Start-Up to Operational Speed

In this paper, firstly, we study the asymptotic stability for adaptive nonlinear algorithm in non-stationary condition and we also study the relationship between control level and frequency change rate and disturbance amplitude change rate in detail. We obtain the conclusion that the control result has a great influence on amplitude change rate, and has not influence on frequency change rate while that frequency change rate is known. After that, we apply the adaptive nonlinear algorithm for magnetic bearing system to control the vibration due to unbalance when the rotor would be accelerated from start-up to operational speed beyond its critical speed. The effectiveness of our proposed adaptive nonlinear algorithm is verified by the simulations and experiments.