A method and apparatus for controlling the position of a vehicle on a track so as to provide a slotless racing vehicle game is described. The method involves measuring the lateral position of the vehicle on the track so as to minimize the distance with a user defined lateral position. A measured velocity of the vehicle is then feedback to a steering servo in order to stabilize the vehicle's position at the desired lateral position. In particular, the gain of a controller that generates the input signal for the steering servo is varied with the reciprocal of the square of the speed of the vehicle.