The present invention relates to a control system (7) for a vehicle combination composed of a towing vehicle and a trailer for picking up, transporting and setting down a frame which can be positioned on supports and have a payload loaded onto it, wherein a path computer (8) is provided which calculates a path which, in order to pick up the frame (4) calculates a path which leads the trailer backward under the frame. A particularly reliable system is obtained if a first input device (10) is provided, by means of which an actual position and an actual orientation of the frame can be input into the path computer (8), and if a second input device (11) is provided by means of which an actual position and an actual orientation of the trailer can be input into the path computer (8). The path computer (8) is then configured in such a way that it calculates, from the actual position and the actual orientation of the frame, a reference position and a reference orientation for the trailer in which the trailer is located under the frame in order to pick it up, and in that said path computer (8) calculates, from the actual values and the reference values of the position and orientation of the trailer, the path which leads the trailer backward under the frame.