The control device is for controlling a transmission ratio between a traction means and a wheel set rotatable about a wheel axle and including at least two wheel blades alternatively wrapped around by the traction means. At least one of the wheel blades is composed of several independently adjustable wheel rim segments. The adjustment of the wheel rim segments in relation to a fixed plane (“plane of alignment”) in which the traction means wraps around the wheel set is effected by the control device in a direction substantially transverse to the plane of alignment. The control device includes at least one electrically actuatable control element, in particular a servomotor, provided that the at least one control element is arranged to rotate with the at least two wheel blades.