モード解析と線形行列不等式に基づくフィードバック音響制御

概要

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Approach for modeling and feedback noise control of a one-dimensional duct based on experimental modal analysis and LMI is presented in this paper. The modal parameters of a coupled acoustical-structural system are derived from measured noise and vibration data. The state equation of the duct is described by the identified modal parameters. An active noise controller is designed based on LMI approach in which an optimization problem is defined as a mixed H_2/H_∞ control problem. The performances of the noise reduction and the robust stability are described with H_2 and H_∞ norms of the closed loop system, respectively. Frequency response shaping is performed by the presented approach with weighted modal matrix and frequency weighting functions. Simulations and experiments are carried out and the desired performances are obtained by the presented approach.
一般社団法人日本機械学会の論文
1998-05-25