Method for determining a gear for a power steering system as a function of a vehicle speed and a steering wheel angle

A method for determining and setting a gear ratio for a power steering system of a vehicle, the power steering system comprising a steering wheel where a rotational position of the steering wheel determines a steering wheel angle and a rack where varying the rack between a lower limit rack position and an upper limit rack position determines a rack position, the gear ratio defining a ratio between the rack position and the steering wheel angle, or between the steering wheel angle and the rack position, wherein the method comprises

• a definition step in which the gear ratio is defined as a function of a vehicle speed and the steering wheel angle so that the upper limit rack position corresponds to a single upper limit steering wheel angle;
• and
• setting the gear ratio as defined in the definition step, wherein
• the definition step comprises, for each vehicle speed value:
• determining a limit variation of the gear ratio as a function of the steering wheel angle, the limit variation being a threshold beyond which the gear ratio varies too quickly for controllability of the vehicle at the vehicle speed;
• determining a grip steering wheel angle corresponding to the steering wheel angle above which the vehicle no longer exhibits controllability;
• and
• a characterization in which the gear ratio is defined so that below the grip steering wheel angle, variation of the gear ratio is less than or equal to the limit variation, and so that above the grip steering wheel angle, the variation of the gear ratio is greater than the limit variation.