A Control Source Structure of Single Loudspeaker and Rear Sound Interference for Inexpensive Active Noise Control

Abstract

Active noise control systems of simple ducts are investigated. In particular, open‐loop characteristics and closed‐loop performances corresponding to various structures of control sources are compared based on both mathematical models and experimental results. In addition to the standard single loudspeaker and the Swinbanks′ source, we propose and examine a single loudspeaker with a rear sound interference as a novel structure of control source, where the rear sound radiated from the loudspeaker is interfered with the front sound in order to reduce the net upstream sound directly radiated from the control source. The comparisons of the control structures are performed as follows. First, the open‐loop transfer function is derived based on the standard wave equation, where a generalized control structure unifying the three structures mentioned above is considered. Secondly, by a comparison of the open‐loop transfer functions from the first principle modeling and frequency response experiments, it is shown that a certain phase‐lag is imposed by the Swinbanks′ source and the rear sound interference. Thirdly, effects on control performances of control source structures are examined by control experiments with robust controllers.