A New Approach to Active Noise and Vibration Control-Part I: The Known Frequency Case

This paper presents a new approach to rejection of complex-valued sinusoidal disturbances acting at the output of a discrete-time stable linear plant with unknown dynamics. It is assumed that the frequency of the sinusoidal disturbance is known, and that the output signal is contaminated with wideba...

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Bibliographic Details
Published in:IEEE transactions on signal processing 2009-09, Vol.57 (9), p.3373-3386
Main Authors: Niedzwiecki, M., Meller, M.
Format: Article
Language:English
Subjects:
Acoustic noise
Active noise reduction
Adaptive filtering
Applied sciences
Automatic control
Control systems
Detection, estimation, filtering, equalization, prediction
disturbance rejection
Exact sciences and technology
Frequency
Information, signal and communications theory
Miscellaneous
Narrowband
Noise cancellation
Noise level
Noise measurement
Signal and communications theory
Signal processing
Signal, noise
system identification
Telecommunications and information theory
Vibration control
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Summary:This paper presents a new approach to rejection of complex-valued sinusoidal disturbances acting at the output of a discrete-time stable linear plant with unknown dynamics. It is assumed that the frequency of the sinusoidal disturbance is known, and that the output signal is contaminated with wideband measurement noise. The disturbance rejection control rule is first derived and analyzed for a nominal plant model, different from the true model. Then a special adaptation mechanism is added, which is capable of compensating modeling biases (errors in both magnitude and phase) so that, under Gaussian assumptions, the closed-loop system can converge in mean to the optimal solution.
ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2009.2022359