A control valve includes a main poppet that moves in response to pressure in a primary control chamber and thereby controls the flow of fluid through a valve seat between first and second ports. A passageway extends between the second port and the primary control chamber and includes a variable flow restriction that decreases as the main poppet moves away from the valve seat. An electrohydraulic pilot valve has a pilot poppet which controls fluid flow from the primary control chamber to the first port in response to pressure in a pilot control chamber. A sub-pilot valve selectively releases pressure in the pilot control chamber to operate the pilot poppet to open and close a path between the inlet and the outlet. Using an electrohydraulic pilot valve enables the main poppet to operate quickly in controlling large fluid flow rates. Unidirectional and bidirectional versions of the control valve are described.