The problem of oscillation energy control of an electric machine rotor by means of an external moment is considered on the example of a simple mathematical model. The speed-gradient method is applied to solve this problem. The using of small or bounded control is a feature of this approach, which helps to save energy. The control algorithm of the rotor oscillations of an electric machine is developed, with the use of which a predetermined number of cycle slippings performs. The simulation results illustrate the efficiency of the suggested algorithm.