Robust Active Noise Control Design by Optimal Weighted Least Squares Approach

An optimal strategy is derived for robust performance of feedforward and feedback noise controllers in active noise control systems with a bounded narrowband disturbance. The designed recursive algorithm updates the weighting factor to make sure that controller updates are performed when the current...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. I, Regular papers Regular papers, 2019-10, Vol.66 (10), p.3955-3967
Main Authors: Aslam, Muhammad Saeed, Shi, Peng, Lim, Cheng-Chew
Format: Article
Language:English
Subjects:
Active noise control
Adaptive control
Algorithms
Computer simulation
Control theory
Convergence
Covariance matrix
Feedback
Feedback control
Feedforward control
Feedforward systems
hybrid control
Mathematical analysis
Matrix methods
Microphones
Narrowband
Noise control
Noise reduction
Robust active noise control
Robust control
selective filtering
Steady state
weighted least squares algorithm
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Summary:An optimal strategy is derived for robust performance of feedforward and feedback noise controllers in active noise control systems with a bounded narrowband disturbance. The designed recursive algorithm updates the weighting factor to make sure that controller updates are performed when the current measurement data contain new information to improve the estimation quality. This significantly reduces the computational complexity by allowing fewer updates in the steady state and persistent updates otherwise. The presented algorithm can guarantee non-increasing and positive-definite covariance matrices for feedforward and feedback filters, and this results in a bounded and non-increasing estimation error. Moreover, the proposed algorithm achieves fast convergence with improved performance in steady-state noise reduction. In simulations, the comparison of the proposed method with the established methods under benchmark conditions demonstrates the improvement in the overall performance.
ISSN:1549-8328
1558-0806
DOI:10.1109/TCSI.2019.2910290