A common rail fuel system includes a common rail supplied by an inlet metered high pressure pump and fluidly connected to a plurality of zero-leak fuel injectors. An electronic controller controls pressure in the common rail predominantly responsive to a rail pressure error when outside of an overshoot avoidance condition corresponding to the error being less than a first threshold and a time rate of change of the error being greater than a second threshold. Pressure in the common rail is controlled predominantly responsive to the time rate of change of the error during the overshoot avoidance condition.