In one aspect, a method is disclosed for automatically controlling a height of an implement of an agricultural work vehicle relative to a ground surface. The method may include monitoring the height of the implement and a vehicle speed; determining an implement height error by comparing the height of the implement with a predetermined target height; and calculating a sensitivity factor based on a sensitivity setting. When the monitored vehicle speed is greater than a predetermined speed threshold, the sensitivity factor may equal a first constant sensitivity value that is proportional to the sensitivity setting. The method may include reducing the sensitivity factor to less than the first constant sensitivity value when the monitored vehicle speed becomes less than the predetermined speed threshold and adjusting the height of the implement relative to the ground surface based on the implement height error and the sensitivity factor.