Arrangement for controlling the position of a device which is mounted on an agricultural carrier vehicle which can be moved over a field in a forward direction by ground engagement means, having: a control unit which is connected in a signal-transmitting fashion to an actuator (48, 52) which is arranged so as to adjust the position of the device with respect to the carrier vehicle, and a ground-profile-determining apparatus which is connected to the control unit, to determine a ground profile ahead of the carrier vehicle, wherein the control unit is programmed to determine a vertical movement of the carrier vehicle which is to be expected on the basis of the ground profile, and to transfer a control signal predictively to the actuator (48, 52), which control signal is dimensioned in such a way that the device is guided continuously in a predeterminable position over the ground profile, characterized in that the control apparatus is programmed to take into account the following during the determination of the vertical movement of the carrier vehicle, which is to be expected on the basis of the ground profile: a) an expected deformation of the ground profile by the ground engagement means and/or b) an expected vertical relative movement of the carrier vehicle with respect to the ground profile, which movement is induced by the ground profile in tyres (14a, 14b) serving as ground engagement means and/or in a suspension system of the carrier vehicle, and/or c) an expected vertical relative movement of the carrier vehicle, which movement is induced by change of speed of the carrier vehicle in tyres (14a, 14b) which serve as ground engagement means and/or in a suspension system of the carrier vehicle. a control unit which is connected in a signal-transmitting fashion to an actuator (48, 52) which is arranged so as to adjust the position of the device with respect to the carrier vehicle, and a ground-profile-determining apparatus which is connected to the control unit, to determine a ground profile ahead of the carrier vehicle, wherein the control unit is programmed to determine a vertical movement of the carrier vehicle which is to be expected on the basis of the ground profile, and to transfer a control signal predictively to the actuator (48, 52), which control signal is dimensioned in such a way that the device is guided continuously in a predeterminable position over the ground profile, characterized in that the control apparatus is programmed to take into account the following during the determination of the vertical movement of the carrier vehicle, which is to be expected on the basis of the ground profile: a) an expected deformation of the ground profile by the ground engagement means and/or b) an expected vertical relative movement of the carrier vehicle with respect to the ground profile, which movement is induced by the ground profile in tyres (14a, 14b) serving as ground engagement means and/or in a suspension system of the carrier vehicle, and/or c) an expected vertical relative movement of the carrier vehicle, which movement is induced by change of speed of the carrier vehicle in tyres (14a, 14b) which serve as ground engagement means and/or in a suspension system of the carrier vehicle. a) an expected deformation of the ground profile by the ground engagement means and/or b) an expected vertical relative movement of the carrier vehicle with respect to the ground profile, which movement is induced by the ground profile in tyres (14a, 14b) serving as ground engagement means and/or in a suspension system of the carrier vehicle, and/or c) an expected vertical relative movement of the carrier vehicle, which movement is induced by change of speed of the carrier vehicle in tyres (14a, 14b) which serve as ground engagement means and/or in a suspension system of the carrier vehicle.