A method and apparatus for controlling traction of a vehicle with independent drives or motors connected to the wheels or other ground engaging apparatuses. Nominal torque allocations can be determined for a set of motors, the motors connected to ground engaging elements and including a front set of motors and a rear set of motors. The nominal torque allocations can be modified based on a lateral differential correction and a fore-aft differential correction to produce modified torque commands and the modified torque commands can be applied to the set of motors.