Optimal Active Dynamic Vibration Absorber for Multi-Degree-of-Freedom Systems : Feedback and Feedforward Control Using a Kalman Filter

Abstract

This study presents a method of feedforward control design of an active dynamic vibration absorber for multi-degree-of-freedom systems. The feedforward control, obtained by assuming that the shaping filter has the same natural frequency as a primary structure in the frequency range of input disturbance, is effective in the broad frequency range and is robust for input disturbance. Furthermore, to improve reliability, a digital control system consisting of reduced-order feedback control and feedforward control, using a Kalman filter, is synthesized. By carrying out numerical calculations and experiments, it is demonstrated that the active DVA, which is optimized by the present method, is useful for not only stationary random inputs but also for nonstationary random inputs.