An output regulation problem of an active dynamic vibration absorber system is considered, where the object is to reject completely the effects of a sinusoidally varying external force on the main mass by manipulating the motion of a auxiliary mass in an absorber attached to the main mass.
The theory of output regulation with internal stability is applied in designing the control system of an active dynamic absorber system which consists of a main mass to be regulated, an auxiliary mass generating inertial reaction, an actuator driving the auxiliary mass and sensors detecting the diplacements of the masses. A new control method is presented which is enable to remove completely the vibration of the main mass at a particular frequency and to attenuate well the vibration in a wide range of frequency as well. Moreover the obtained condition of output regulation includes the tuning condition of a passive vibration absorber without damping as a special case; that is to say, at the natural frequency of the absorber the vibration of the main mass is completely removed automatically. The effectiveness of the control method is confirmed by numerical simulation and analysis of the frequency characteristics of the designed control system.