Abstract:In this paper, the problem of response’s prediction of nonlinear magnetic levitation control system to random vibration is discussed. Based on equivalent method of nonlinear differential equation, the paper gives a deep theoretical analysis to random response of nonlinear magnetic levitation control system; a nonlinear model of the multidimensional system is presented. Using flow form theorem, approximate analysis solution of the system’s response is achieved. The job provides valid theoretical basis to the system, on which can realize further improvement on stability control.