Abstract: Apparatus for controlling the flow rate of fuel fed to a gas turbine engine, particularly but not exclusively to prevent overspeeding of the engine above a maximum safe level in the event of failure of a primary control system and associated components. A first control valve V3 is associated with means for sensing pressure drop .DELTA.P across a series metering valve V1 and arranged to control the opening or closing of a bypass valve V2 to keep .DELTA.P essentially constant and equal to a set point. A second control valve V4 is associated with a speed-sensing governor and arranged to control the opening or closing of that same bypass valve V2, so that engine fuel rate is controlled to maintain speed at an overspeed set point if abnormal conditions or failures tend to cause overspeeding.