In magnetic levitation control system, the elasticity of orbit is often neglected to design control algorithm. Under this control algorithm, when the track stiffness is small, the system is prone to vibration. To solve this problem, the track elasticity can be added to the suspension model, and then the control algorithm is designed. Considering the track elasticity, the model of the suspension system will be more complex, and the control algorithm is difficult to realize in engineering. Therefore, the Hankel norm approximation method is used to reduce the order of the model considering the track elasticity, and the control algorithm is designed on the basis of the reduced order model to solve the system vibration problem caused by the track elasticity. Moreover, this method has the advantage of easily being implemented in engineering. Finally, the feasibility of the reduced order method is verified by the simulation results.