A method for controlling a position of a flap of an aircraft includes: receiving, by an actuator, a signal indicative of a desired flap position; when the desired flap position is a retracted flap position: moving the carriage along a track to a first carriage position thereby pivoting the flap to the retracted flap position where the flap is at a neutral flap angle; when the desired flap position is an intermediate flap position: moving the carriage along the track to a second carriage position thereby pivoting the flap to the intermediate flap position where the flap is at a negative flap angle; when the desired flap position is an extended flap position: moving the carriage along the track to a third carriage position thereby pivoting the flap to the extended flap position where the flap is at a positive flap angle. An aircraft flap deployment system is also disclosed.