A fully electrically controlled electric braking system is provided for a road vehicle fitted with wheels (1). Each of the wheels is connected for rotation to at least one rotary electric machine (2) specific thereto, with at least one electronic wheel control module (23) controlling the electric machine(s) (2) of that wheel. Each electronic wheel control module (23) makes it possible to impart selectively to a corresponding wheel a control torque of determined amplitude and sign, in such a way that the corresponding wheel imparts to the vehicle a drive force or a braking force in accordance with the control torque. The system includes a central unit (3) for managing vehicle displacement, the central unit (3) controlling all the electronic wheel control modules (23). The central unit (3) has a vehicle braking mode activated by a vehicle braking control signal having a given amplitude representing a total desired braking force for the fully electrically controlled wheels. In the braking mode, whatever the amplitude of the braking control signal, the central unit (3) controls all the electronic wheel control modules (23) in such a way that the sum of the longitudinal forces of all the wheels is a function of the amplitude of the braking control signal, the function being proportional, for example.