Method, control device, and system for determining a profile depth of a profile of a tyre

A controller for a vehicle for determining a tread depth of a tread of a tire of the vehicle, comprising:

• a reception device, configured to receive an instantaneous rotational speed of a wheel, comprising the tire, of the vehicle, an instantaneous speed of the vehicle and at least one first operating parameter of the tire, selected from the group consisting of an instantaneous tire temperature, an instantaneous tire pressure and an instantaneous tire load,
• a first determination device, configured to determine an instantaneous dynamic wheel radius of the wheel comprising the tire based on the received instantaneous rotational speed and the received instantaneous speed of the vehicle,
• a second determination device, configured to determine an instantaneous dynamic inside radius of the wheel based on the at least one received first operating parameter, wherein the inside radius of the wheel is the distance between the wheel center and the tire-side start of the tread, and
• a third determination device, configured to determine a tread depth of the tread of the tire based on the determined instantaneous dynamic wheel radius and the determined instantaneous dynamic inside radius,
• wherein the third determination device is configured to determine the tread depth based at least in part on a correction variable predetermined for the type of tire, wherein the correction variable characterizes the relationship between a change in the tread depth and a change resulting therefrom in the difference between the dynamic wheel radius and the dynamic inside radius.