A system for influencing a vehicle position when travelling along a subsurface includes a vehicle structure including left and right wheels, a tire inflation system for the supply of the corresponding tires of each individual wheel with a specified tire inflation pressure, and a sensor device for determining a transverse tilt of the vehicle structure with respect to the travelled subsurface. The sensor device is configured to provide a transverse tilt magnitude that reflects the determined transverse tilt and operably communicates it to a control unit. The control unit operably adapts the tire inflation pressure specified for the left and right wheels by controlling the tire inflation system in accordance with the transverse tilt magnitude in such a way that the vehicle structure is tilted in the sense of a reduction of the determined transverse tilt with respect to the travelled subsurface.
