A reciprocating actuator comprising: - a rack, - at least one moving element (7, 9) guided relative to the rack so as to be able to be displaced with reciprocating motion relative to said rack, - a device (9, 10, 11) for driving the moving element (7, 9) in at least one direction, called the driving direction, - means of returning the moving element (7, 9) in a direction opposing the driving direction, - at least one sensor for detecting the position of the moving element (7, 9) relative to the rack, capable of delivering a position signal representative of at least the position of said moving element (7, 9) in the vicinity of its extreme end of displacement position in the driving direction, - a servocontrol (21 to 37) adapted to adjust and deliver, for each displacement cycle of the moving element (7, 9) in the driving direction, a control signal of the driving device (9, 10, 11), the value thereof being determined for each cycle according to the difference between an extreme position adopted previously by the moving element (7, 9) in the driving direction as determined by the position signal and a predetermined extreme limit position of the moving element (7, 9) in its displacement in the driving direction, characterized in that the servocontrol (21 to 37): - comprises at least one measuring chain designed to deliver for each displacement cycle of the moving element in the driving direction, at least one signal, called the correction signal, representative of the difference between the energy imparted on the moving element (7, 9) by the driving device (9, 10, 11) during at least one cycle preceding that in which the control signal is applied, and the energy, called nominal energy, to be imparted on this moving element (7, 9) to displace it exactly to its extreme set-point position, said correction signal being representative of a difference between a first value which is proportional to a time period during which the moving element (7, 9) exceeds, in the driving direction, a first position reference (Niv_Min) without exceeding a second position reference (Niv_Max) located downstream of the first position reference (Niv_Min) in the driving direction, and a second value which is proportional to a time period during which the moving element (7, 9) exceeds, in the driving direction, said second position reference (Niv_Max), - is designed to adjust for each cycle the control signal according to said correction signal, - and is designed to deliver a control signal, said control signal interrupting the driving device before the moving element (7, 9) arrives in the end of travel position in the driving direction. - a rack, - at least one moving element (7, 9) guided relative to the rack so as to be able to be displaced with reciprocating motion relative to said rack, - a device (9, 10, 11) for driving the moving element (7, 9) in at least one direction, called the driving direction, - means of returning the moving element (7, 9) in a direction opposing the driving direction, - at least one sensor for detecting the position of the moving element (7, 9) relative to the rack, capable of delivering a position signal representative of at least the position of said moving element (7, 9) in the vicinity of its extreme end of displacement position in the driving direction, - a servocontrol (21 to 37) adapted to adjust and deliver, for each displacement cycle of the moving element (7, 9) in the driving direction, a control signal of the driving device (9, 10, 11), the value thereof being determined for each cycle according to the difference between an extreme position adopted previously by the moving element (7, 9) in the driving direction as determined by the position signal and a predetermined extreme limit position of the moving element (7, 9) in its displacement in the driving direction, - comprises at least one measuring chain designed to deliver for each displacement cycle of the moving element in the driving direction, at least one signal, called the correction signal, representative of the difference between the energy imparted on the moving element (7, 9) by the driving device (9, 10, 11) during at least one cycle preceding that in which the control signal is applied, and the energy, called nominal energy, to be imparted on this moving element (7, 9) to displace it exactly to its extreme set-point position, said correction signal being representative of a difference between a first value which is proportional to a time period during which the moving element (7, 9) exceeds, in the driving direction, a first position reference (Niv_Min) without exceeding a second position reference (Niv_Max) located downstream of the first position reference (Niv_Min) in the driving direction, and a second value which is proportional to a time period during which the moving element (7, 9) exceeds, in the driving direction, said second position reference (Niv_Max), - is designed to adjust for each cycle the control signal according to said correction signal, - and is designed to deliver a control signal, said control signal interrupting the driving device before the moving element (7, 9) arrives in the end of travel position in the driving direction.