Robust Solutions to the Regulator Problem in an Active Dynamic Vibration Absorber System

Abstract Two controllers for an active dynamic vibration absorber are designed to reduce the vibration to zero at a specified frequency and to non-resonant levels at the other frequencies. One of them contains a disturbance observer and realizes asymptotically a feedforward control of disturbance cancellation. It preserves the regulation property independent of small perturbations in the primary system, but is sensitive to those in the absorber system. The other controller incorporates a disturbance model into its feedback loop. It preserves the regulation property in the presence of small perturbations in both the primary and absorber system parameters.