A control unit is connected to an actuator to adjust the position of the implement relative to the vehicle. A ground-profile determining device is connected to the control unit and is designed to determine a ground profile in front of the vehicle. The control unit is programmed to determine an expected vertical movement of the vehicle because of the ground profile and to prospectively transmit to the actuator a control signal that is dimensioned such that the implement is continuously guided in a predeterminable position above the ground profile. The control device considers the expected deformation of the ground profile because of the tires or tracks of the vehicle or an expected vertical movement of the vehicle relative to the ground profile.
