A control system for a powertrain includes an energy determination module and a speed control module. The energy determination module determines a rotational energy input to the powertrain during a first period of a negative lash event of the powertrain. The speed control module selectively limits an increase in a rotational speed of the engine to a first predetermined rate based on the rotational energy during a second period of the negative lash event following the first period. The rotational energy is based on an acceleration rate of the rotational speed, and the speed control module limits the increase when the acceleration rate is greater than a predetermined acceleration rate. The speed control module further selectively increases the rotational speed at a second predetermined rate during a third period beginning at an end of the second period. A related method is also provided.