Output Regulation in an Active Dynamic Vibration Absorber System with an Electromagnetic Servomechanism.

The control system of an active dynamic vibration absorber with an electromagnetic servomechanism, is designed based on the theory of output regulation with internal stability. The absorber system consists of a lever generating an inertial reaction, two electromagnets driving the lever, sensors and a controller. The object of the control is twofold. First, it is to reduce the vibration of the primary system equipped with the absorber to a nonresonant level in the whole range of frequencies. Second, it is to reduce the vibration to zero at a specified frequency. It is shown that the latter property is preserved in the face of small parameter variations in the primary system, but is not preserved when the parameters in the absorber system are perturbed. Experimental results emphasize the effectiveness of the proposed control method, and support the analytical predictions well.