A system controls steering of a motor vehicle in case of an imminent collision with an obstacle. The vehicle includes a system to locate the vehicle relative to its lane and to determine a lateral deviation from the lane center, a determination unit for determining the presence of obstacles, a gyrometer for measuring the rotation speed of the vehicle, and a steering device, the steering angle of which can be controlled based on the measurement of a steering angle sensor or the steering torque of which can be controlled. The control system includes a perception device for determining the maximum lateral distance available for movement of the vehicle relative to obstacles, a decision device for transmitting a correction request based on the trajectory of the vehicle and on the lateral maximum distance, and an intervention device for controlling the steering device to correct the trajectory of the vehicle.