Wheel slip-based control for accelerating and decelerating heavy-duty vehicles

A method for controlling motion by a heavy-duty vehicle is provided. The vehicle is controlled based on a target longitudinal wheel slip of at least one driven wheel on the vehicle. The method includes monitoring a signed acceleration of the vehicle, monitoring a signed current longitudinal wheel slip of the at least one driven wheel, and, if the monitored acceleration and the current longitudinal wheel slip has the same sign, reducing a magnitude of the target longitudinal wheel slip of the at least one driven wheel in case a magnitude of the monitored acceleration of the vehicle decreases while the magnitude of the monitored current longitudinal wheel slip is non-decreasing, and controlling wheel slip of the at least one driven wheel based on the target longitudinal wheel slip.