Control with Pole Assignment in a Specified Region for Multi-Degreeof-Freedom Structure Using Active Dynamic Vibration Absorber

In this study by applying H^∞ control with pole assignment in a specified region a robust controller for an active dynamic vibration absorber is designed for the objective of vibration control of a multi-degree-of-freedom structure. In conventional H^∞ control, the frequency weighting functions used in the criterion function have determined its vibration control performance and its stability robustness for a spillover phenomenon caused by model reduction. It is shown that this method of H^∞ control with pole assignment in a specified region can yield a distinct design of a vibration control system, since poles of the closed-loop system are assigned to a specified region in the design procedure. We show the design procedures of continuous-time H^∞ control with pole assignment and discrete-time H^∞ control. By numerical calculations and experiments, it is shown that continuous-time H^∞ control with pole assignment can suppress the observation spillover and assign the poles of the controlled modes to the left of the vertical line s=-β/3 in the s-plane.