The combination of state control with cascade control satisfies all demands made on train movements in a high-speed Maglev transportation system. The inner control loop compensates nonlinearities and disturbances and limits the acceleration. The dynamics of the control loop are determined by the riding characteristics. The superposed speed state control provides for running without overshoot within permissible limits. In order to reach a target point in the shortest possible time, the control signal for initiating the retardation is issued as late as possible and the speed is output as a function of position. The subsequent structure changeover to a position state control causes the train to come to a smooth halt at its destination in an almost optimal time.