The piloting system (1) for generating orders for piloting the aircraft according to at least one piloting axis, for example the pitch axis, the roll axis, the yaw axis or the engine thrust control axis, comprises at least two piloting means (2, 3), each of which is capable of calculating the derivative with respect to time of the function which represents the corresponding piloting law and which takes into account the current values of parameters of the aircraft, first means (4) for intercomparing the derivatives calculated by the piloting means (2, 3) and for selecting a derivative; and second means (10) for integrating a selected derivative in such a way as to obtain said piloting order according to said piloting axis.