A system for braking the wheels of a hydraulic hybrid vehicle includes a brake pedal having a range of pedal displacement including a deadband displacement range, an accumulator containing fluid at relatively high pressure, a reservoir containing fluid at lower pressure, a pump/motor having variable volumetric displacement connected to the accumulator and reservoir, and driveably connected to the wheels; a system responsive to brake pedal displacement in the deadband range for placing the pump/motor in a pump state wherein the pump/motor is driven by the wheels and pumps fluid from the reservoir to the accumulator; and a control valve for changing the volumetric displacement of the pump/motor in response to displacement of the brake pedal.