A piloting device may include a section for generating control orders for the control surfaces acting on the yaw movement of an aircraft. A central unit determines an instruction to rotate the aircraft, based on control orders, and determines a global moment to be applied to the aircraft about the yaw axis so that the aircraft performs the rotation instruction. The central unit divides the global moment into a sum of elementary moments and computes, for each control surface, the instruction to be applied to its actuator so that the latter generates the associated elementary moment.