An Approach to Acoustic Noise Control via Passivity Techniques

This paper presents a passivity-based robust controller design methodology for broad-band control of acoustic noise in ducts. A brief review of passivity-based control using passification techniques is given for non-passive dynamic systems. An application of this design technique to the acoustic duct system is presented. The acoustic duct model being inherently non-passive, passification techniques are necessary to render the system passive. The controller design is based on finite-dimensional approximation and is shown to be robust to unmodeled dynamics and parametric uncertainties. The control design methodology exploits inherent robustness of passivity-based controllers and selective mode attenuation capability of resonant mode controllers. The resulting controller is low-order, robust, broadband, and has guaranteed stability.