A vehicle stability compensation system, which is arranged to adjust dynamically the self-centering position and the steering feel of the vehicle steering system during split mu braking operation. The adjustment being based on at least one operational variable representing a corrective steer angle for the vehicle and hence representing a target self-centering position. A target self-centering error is derived from the difference between the target self-centering position and an actual vehicle steering angle. A torque demand that is proportional to the target self-centering error is then added to an assistance torque generated by the electrically assisted steering system to shift the self-centering position so as to encourage the vehicle driver to move the steering wheel such as to reduce the target self-centering error to zero for maintaining the vehicle stable and controllable.