A Parametrized Reduced Order Model of 1D Acoustic Propagation System for Robust Spatial Multi-point Active Noise Attenuation

摘要

This paper discusses active noise feedback control over a predefined frequency range for a cylindrical and closed three-dimensional cavity. An analytical 1D acoustic model is obtained by averaging the pressure on surfaces that are perpendicular to the sound propagation direction. Furthermore, a parametrized rational reduced order transfer function is proposed relying on the Cauchy method of residues. Based on this new model a Multi-objective H∞ control, aiming to attenuate the effect of an unknown noise in one or several points, is designed. Achieved performances are discussed in light of different design configurations using either a single or several measurement points.