A thrust recovery valve has two flaps, with each flap controlled independently via its own rotary actuator. Embodiments of the present invention also provide a cabin pressure control system that includes one or two thrust recovery valves and the controls architecture to efficiently operate the valves. On each thrust recovery valve, only one door can be operated during flight, making less effective area change per unit time (relative to the operating both doors at the same time), allowing higher resolution of valve control. Further, the valve doors can be made such that the primary door that is operated in flight is smaller than the other door (mostly only operated on the ground). Because the doors of the thrust recovery valve can be operated independently, the forward door of each valve can be rotated such that the door creates a ram air "scoop" to ingress air to prevent negative pressure from building up beyond a specified limit.