The present invention involves a method of controlling a vehicle having a steer-by-wire system with enhanced yaw stability during a yaw motion disturbance. The method includes generating a steering angle signal of the steer-by-wire system. The steering angle signal is indicative of a steering angle. The method further includes generating an extra road wheel angle signal using a gain scheduled proportional-integral control strategy and an instant proportional-integral control strategy configured to attenuate after a predetermined time lapse from a time zero. The extra road wheel angle signal is indicative of an extra road wheel angle to compensate for the yaw motion disturbance defining the time zero. The method further includes generating a road wheel angle signal indicative of a road wheel angle and applying torque to the road wheels to move the road wheels consistent with the road wheel angle based on the road wheel angle signal.