active noise cancellation for ventilation ducts using a pair of loudspeakers by sampled-data ℋ∞ optimization

We deal with the design of active noise control systems for ventilation ducts with a pair of loud-speakers based on sampled-data ℋ∞ optimization, in order to improve our previous study with a single loudspeaker. The resultant controller requires lower computational complexity for the implementation, compared to the standard time-varying adaptive controllers, since it is time-invariant and the order is comparable. Moreover, the effect of Swinbanks' source is automatically recovered by the ℋ∞ optimization. The benefit of the proposed method is also confirmed from experimental results for a real house, where the achieved noise attenuation level is about twice as much as that of the single loudspeaker case.