Model Reference Adaptive Tracking Control for 2-DOF Active Magnetic Bearing Systems

This work investigates the problem of tracking control for 2-degree-of-freedom active magnetic bearings modeled as nonlinear systems with input noise. We propose an adaptive tracking control algorithm for the active magnetic bearing system. Input to state stable stabilization is developed to track errors smoothly and converges to an arbitrarily sufficient small area around the neighborhood of the origin. Thanks to Lyapunov’s theory, the stability of the closed-loop system is demonstrated. Finally, a simulation result of the tracking problem of the active magnetic bearing system is introduced to illustrate the efficiency of our proposed approach.