A method for controlling a land transport vehicle traveling on a track, the track including, in a movement direction of the land transport vehicle, a zone with an external power supply adjacent to a zone without an external power supply to be traveled with an onboard power supply device, the zone with an external power supply including an external power supply device on the ground provided with a plurality of power supply segments arranged sequentially in the direction of the track, the land transport vehicle including at least one capture device adapted to be placed in contact with a power supply segment on the one hand and to be electrically connected to at least one traction motor on the other hand, the land transport vehicle further including an onboard power supply device adapted to be electrically connected to the or each traction motor.