Travel of a brushless rotary actuator is limited by two stops, including a wound stator and a magnetic cylindrical rotor rigidly attached to a shaft having a first end rigidly attached to a control member. A second end of the shaft is rigidly attached to a travel limiting part acting as stops, and the travel limiting part has bending, resilient beam shapes. The actuator is electrically controlled in an open-loop. A control system controls a lift value of valves of an internal combustion engine by a lever driven by such an actuator.