Youla Parameterized Adaptive Feedback Attenuation Against Tonal and Band-Limited Random Noise in Ductworks

Unknown multiple tonal noise and band-limited random noise can be both generated in ductwork systems. This article has constructed a
LQG
controller with an augmented Youla (
Q
) parameterized adaptive regulation approach to minimize the residual error at the end of the duct segment where both types of noise signals are supposed to be attenuated. The construction approach of the Youla parameterized controller based on a
LQG
controller is first presented. Then, the recursive least squares adaptive algorithm is developed, and the convergence of the algorithm and the robustness of the closed-loop control system are analyzed. The effectiveness of the proposed adaptive control approach is experimentally evaluated in a duct noise attenuation testbench platform. The results illustrate that the proposed adaptive noise control method can effectively attenuate the unknown multiple tonal noise and band-limited random noise simultaneously in the ductwork system.