Robust broadband control of acoustic duct

Passivity-based robust controller design methodology is presented for a broadband control of acoustic duct. Controller design is based on finite-dimensional approximation and is shown to be robust to unmodeled dynamics and parametric uncertainties. The acoustic duct model being inherently nonpassive, passification techniques are used to render the system passive. 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