Due to the industry depend on high speed and high accuracy, magnetic bearings have attracted more and more attention. Comparing between 8-pole and 3-pole magnetic bearings, the latter is much better on reducing the manufacturing cost. Because of the development of manufacturing and control theorems, flywheel energy storage system (FESS) emerges gradually, and FESS combined with magnetic bearings would become a forward-looking area of development. In order to match the FESS, the magnetic bearing system proposed in this paper intends to control the system with the least energy, therefore I chose Adaptive Autocentering Control (AAC), as system reaches steady state, no current input system, and it contains rotate around the principal axis of inertia. In addition, the control law includes Integral Sliding Mode Control (ISMC) for robustness. Eventually, both numerical and experimental results are used to verify the effectiveness of the controllers.