Abstract: A method and an automatically controlled vehicle for transporting an object such as an item of luggage, with two pivotable axles each having at the outer ends two wheels driven with drive motors, with a control unit which is configured to perform the steps of controlling each of the drive motors such that an at least substantially equal basic drive torque is applied to each of the wheels and, for the purpose of changing the direction of the vehicle, controlling the drive motors associated with a wheel support arm such that a steering torque which is of the same magnitude but of opposite direction is applied in addition to the basic drive torque to the associated wheels.