The problem of adaptive noise cancellation in an acoustic duct is discussed. An adaptive controller design approach based on parametrizing the set of stabilizing controllers using the Youla parametrization and tuning the Youla parameter to achieve regulation was presented in a companion paper [3]. Three controller adaptation algorithms are implemented to solve the noise cancellation problem in an acoustic duct. The experimental results indicate a mixed performance for each of the adaptation algorithms, with good performances observed only in some frequency ranges. The discrepancy between the expected and the observed performances is attributed to unmodeled nonlinearities in the speakers.
Issue Section:
Technical Papers
1.
J. Akers. Private communication. The University of Michigan, 1996.
2.
F. Ben Amara, “Adaptive Sinusoidal Disturbance Rejection in Linear Systems With Application To Noise Cancellation,” Ph.D. thesis, The Univeisity of Michigan, 1996.
3.
F. Ben Amara, P. T. Kabamba, and A. G. Ulsoy, “Adaptive Algorithms for Sinusoidal Disturbance Rejection—Part 1: Theory,” ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL, published in this issue, pp. 648–654.
4.
M. Bodson, “Adaptive Algorithms for the Rejection of Sinusoidal Disturbances with Unknown Frequency,” Proceeding of the 13th IFAC Triennial World Congress, San Francisco, CA, Vol. K, pp. 229–234, 1996.
5.
G. Celantano and R. Setola, “A Technique for Narrow-Band Persistent-Disturbance Attenuation,” Proceedings of the 1996 IFAC World Congress, San Francisco, CA, 1996.
6.
Elliott
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Nelson
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,” IEEE Signal Processing Magazine
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, pp. 12
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.7.
Erikson
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Active Sound and Vibration Control: A Technology in Transition
,” Noise Control Engineering Journal
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, pp. 1
–9
, 1996
.8.
Feintuch
P. L.
Bershad
N. J.
Lo
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A Frequency Domain Model for Filtered LMS Algorithms-Stability Analysis, Design, and Elimination of the Training Mode
,” IEEE Transactions on Signal Processing
, Vol. 41
, pp. 1518
–1531
, 1993
.9.
B. A. Francis, A Course in H∞ Control Theory, Springer-Verlag, New York, 1987.
10.
Fuller
C. R.
von Flutow
A. H.
Active Control of Sound and Vibration
,” IEEE Control Systems Magazine
, Vol. 15
, pp. 9
–19
, 1995
.11.
F. Jiang, N. Ojiro, H. Ohmori, and A. Sano. “Fully Adaptive Active Noise Control Dealing with Changes of Secondary Path Response,” Proceedings of the IEEE International Conference on Control Applications, pp. 934–941, 1996.
12.
J. M. Maciejowski, Multivariable Feedback Design, Addison-Wesley, 1989.
13.
W. Messner and M. Bodson, “Design of Adaptive Feedforward Algorithms Using Internal Model Equivalence,” International Journal of Adaptive Control and Signal Processing, pp. 199–212, 1995.
14.
M. Vidyasagar, Control System Synthesis: A Factorization Approach, M.I.T Press, MA, 1985.
15.
A. K. Wang and W. Ren, “A New Indirect Adaptive Algorithm for Feedforward Control with Application to Active Noise Cancellation,” International Journal of Adaptive Control And Signal Processing, pp. 227–237, 1995.
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