Method for determining a compensated dynamic radius of a wheel of a vehicle, method for estimating the depth of a tyre tread, and motor vehicle for implementing said methods

A method for determining a compensated dynamic radius of a wheel of a vehicle, said wheel comprising a tire and said vehicle comprising a set of sensors able to acquire signals representative of variables chosen from a group comprising at least:

• the speed of the vehicle, the rotational speed of said wheel, the pressure of said tire, the load of said wheel,
• said compensated dynamic radius being a function of:
• a raw dynamic radius, calculated based on the instantaneous speed of said vehicle and the instantaneous rotational speed of said wheel,
• instantaneous values of the variables under consideration,
• reference values of the variables under consideration,
• therein in said method the compensated dynamic radius is also a function of compensation factors that are specific to said variables under consideration and obtained by executing a learning phase, which comprises:
• acquiring, when said vehicle is in operation and for each of said variables, sets of values of the raw dynamic radius as a function of the evolution of said variables,
• calculating said compensation factors based on each of said sets of acquired values.