The present disclosure relates to a system for real time control of a wheel slip of each slipping wheel of a pair of wheels associated with an axle of a motor vehicle, simultaneously and independently with real time explicit control of said motor vehicle's acceleration provided by each non-slipping wheel associated with the axle. The system makes use of a total controller and an asymmetric controller associated with the axle of the vehicle for generating two torque signals used to control the total and asymmetric dynamics respectively of the axle, and a distributor for distributing the two said torque signals into available actuators' targets. The two said controllers each contain feedback and feed forward control elements, is operable to sense wheel slippage condition of each wheel on the axle, and augments the feedback and feed forward control based on the sensed wheel slippage conditions.