Robust control of acoustic noise in a duct via minimax optimal LQG control

Abstract

This chapter considers the problem of active noise control in an acoustic duct. The problem of active noise control in a duct has been the subject of a large amount of research; e.g., see [63, 86]. We consider a broadband feedback control approach to active noise control rather than the narrowband adaptive feedforward approach taken in many early papers on active noise control. The advantage of the feedback control approach is that it can handle practical noise reduction problems in which the noise source has a broad spectrum. The disadvantage of the feedback control approach is that it opens up the possibility of instability and the control system must be carefully designed to give adequate robustness. Also, it usually necessitates the construction of a model for the duct.