A land transport vehicle includes a traction motor; a capture device for contact with a power supply segment of an external power supply device and for connection to the traction motor; a communication unit to communicate with ground equipment associated with the power supply segment in a vicinity of which the land transport vehicle is currently traveling; an onboard controller connected to the communication unit; and an onboard power supply device for connection to the traction motor, the onboard controller being adapted to a) regulate the power supplied to the traction motor, b) receive a signal indicating an end of a zone with an external power supply, and c) command, after receiving the signal indicating the end of a zone, a transition from a power demand from the external power supply device toward a power demand from the onboard power supply device to power the traction motor.