A bleed valve for use in a gas turbine engine of an aircraft includes a high-pressure cavity coupled to a valve housing, which includes a valve seat configured to be sealed by a system poppet. The system poppet is operably coupled to a shaft that is itself coupled to a movable end of a bellows, which is positioned within the high-pressure cavity. The opening and closing of the valve is controlled by at least one cavity air port that is configured to inject a first fluid into the high-pressure cavity, thus compressing the bellows, and by a servo air port that is configured to inject a second fluid directly into the bellows, to expand it.