アクティブ動吸振器による多自由度構造物の極配置領域指定H^∞制御

概要

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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 in the s-plane.
一般社団法人日本機械学会の論文
1995-04-25