This paper presents the theoretical work about active noise cancellation in ducts. The proposed control system is designed based on the assumption of a one-dimensional sound field. The controller consists of a feedforward block which serves as a noise observer. The feedback portion of the control algorithm is to minimize residual disturbances. Closed-loop stability of the MIMO (multiple-input-multiple-output) system is analyzed and the result shows that the dynamic influenced by the space-feedforward and feedback controllers can be decoupled. Both semi-infinite and finite-length ducts are considered in this study and simulation examples are given to illustrate the effectiveness of the proposed controllers.

1.
Eghtesadi
Kh.
, and
Leventhall
H. G.
,
1982
, “
Active Attenuation of Noise—The Monopole System
,”
Journal of Acoustic Society of America
, Vol.
71
(
3
), pp.
608
611
, Mar.
2.
Curtis
A. R. O.
,
Nelson
P. A.
,
Elliott
S. J.
, and
Bullmore
A. J.
,
1987
, “
Active Suppression of Acoustic Resonance
,”
J. Acoust. Soc. Am.
, Vol.
81
, pp.
624
631
.
3.
Gorden, R. T. and Vining W. D., 1992, “Active Noise Control: a Review of The Field,” American Industrial Hygiene Association Journal, Vol. 53(11), Nov.
4.
Guicking
D.
, and
Karcher
K.
,
1984
, “
Active Impedance for One-Dimensional Sound
,”
Journal of Vibration, Acoustic, Stress, and Reliability design
, Vol.
106
, pp.
393
396
, July.
5.
Hu, J., 1993, “Active Sound Cancellation in Finite-Length Ducts Using Closed Form Transfer Function Models,” in press, ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL.
6.
Marshall, J. E., 1979, Control of Time-Delay Systems, Institution of Electrical Engineers, London.
7.
Nelson, P. A. and Elliott, S. J., 1992, “Active Noise Control: A Tutorial Review,” IEICE Trans. Fundamentals, Vol. E75-A, No. 11, Nov.
8.
Pines
D. J.
and
von Flotow
A. H.
,
1990
, “
Active Control of Bending Wave Propagation at Acoustic Frequences
,”
Journal of Sound and Vibration
, Vol.
142
(
3
), pp.
391
412
.
9.
Tanaka
Nobuo
and
Kikushima
Yoshihiro
,
1992
, “
Active Wave Control of a Flexible Beam
,”
JSME International Journal
, Series III. Vol.
35
, No.
2
, pp.
236
244
.
10.
Trinder
M. C. J.
and
Nelson
P. A.
,
1983
, “
Active Noise Control in Finite Length Ducts
,”
Journal of Sound and Vibration
, Vol.
89
(
1
), pp.
95
105
.
11.
von Flotow
A. H.
and
Sha¨fer
B.
,
1986
, “
Wave-Absorbing Controller for a Flexible Beam
,”
Journal of Guidance, Control, and Dynamics
, Vol.
9
, No.
6
, pp.
673
680
.
12.
von Flotow, A. H., 1986, “Traveling Wave Control for Large-Space-Craft Structures,” Journal of Guidance, Control, and Dynamics, Vol. 9, No. 4.
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