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 Hinf 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.