Abstract:This paper proposed two control methods for the vibration of rotor system-gray GM(1,1) forecasting-optimal control method and gray Verhuslt forecasting-optimal control method.Based on the gray forecasting theory,using the optimization control method of the modern control theories,and modeling by gray GM(1,1) and gray Verhuslt model,a gray forecasting-optimal control scheme was designed for a symmetric rotor bearing system,which has a single round plate.The simulation result shows that the two methods are efficient for the vibration control of rotor system.