Acoustic enclosures such as aircraft cabins often display lightly damped modal behavior at low frequencies where passive treatments are impractical due to mass and volume constraints. This work presents a feedback control approach using dynamic H2 controllers implemented with spatially weighted arrays of collocated pressure sensors and constant volume-velocity actuators. The open-loop system is shaped using spatially weighted transducer arrays to yield increased pole-zero separation, which results in better closed-loop performance. The transducer arrays are weighted to emphasize coupling to a particular acoustic mode or modes, which facilitates global control of the targeted dynamics. This work presents a method to determine the spatial weighting vectors for the transducer arrays from frequency response measurements. The development and implementation of low-order, dynamic H2 control laws is also discussed. Experimental results are presented for a single-mode and a multiple-mode controller implemented on an aircraft fuselage section, and demonstrate significant reduction of the targeted acoustic modes. To the best of the authors’ knowledge, this is the first experimental implementation of a feedback controller of this type capable of achieving such levels of global reduction in a three-dimensional acoustic system. [S0739-3717(00)02303-5]

1.
Olson
,
H. F.
, and
May
,
E. G.
,
1953
, “
Electronic Sound Absorber
,”
J. Acoust. Soc. Am.
,
25
, No.
6
, pp.
1130
1136
.
2.
Lane
,
S. A.
, and
Clark
,
R. L.
,
1998
, “
Dissipative Feedback Control of a Reverberant Enclosure Using a Constant Volume Velocity Source
,”
J. Vibr. Acoust.
,
120
, pp.
987
993
.
3.
Morgan
,
D. R.
,
1991
, “
An Adaptive Modal-Based Active Control System
,”
J. Acoust. Soc. Am.
,
89
, No.
1
, pp.
248
256
.
4.
Shelly, S. J., Allemang, R. J., et al., 1993, “Active Vibration Control Utilizing an Adaptive Modal Filter Based Modal Control Method,” Proceedings of the 11th International Modal Analysis Conference, pp. 751–758.
5.
Meirovitch, L., 1990, Dynamics and Control of Structures, Wiley, New York, NY.
6.
Burke, S. E., and Hubbard, J. E., 1990, “Distributed Transducers, Collocation, and Smart Structural Control,” SPIE 1990 Technical Symposium on Optical Engineering and Photonics in Aerospace Sensing, Orlando, FL.
7.
Burke
,
S. E.
,
Hubbard
,
J. E.
, and
Meyer
,
J. E.
,
1993
, “
Distributed Transducers and Colocation
,”
Mech. Syst. Signal Proc.
,
7
, No.
4
, pp.
349
361
.
8.
Burke
,
S. E.
, and
Meyer
,
J. E.
,
1995
, “
Spatial Compensator Design for Active Vibration Damping with Links to Temporal Compensator Design
,”
SPIE
,
2443
, pp.
565
578
.
9.
Sullivan
,
J. M.
,
Hubbard
,
J. E.
, and
Burke
,
S. E.
,
1996
, “
Modeling Approach for Two-Dimensional Transducers of Arbitrary Spatial Distribution
,”
J. Acoust. Soc. Am.
,
99
, No.
5
, pp.
2965
2974
.
10.
Clark
,
R. L.
, and
Cole
,
D. G.
,
1995
, “
Active Damping of Enclosed Sound Fields Through Direct Rate Feedback Control
,”
J. Acoust. Soc. Am.
,
97
, No.
3
, pp.
1710
1716
.
11.
Balas
,
M. J.
,
1979
, “
Direct Velocity Feedback Control of Large Space Structures
,”
J. Guid. Control
,
2
, No.
3
, pp.
252
253
.
12.
Lane
,
S. A.
, and
Clark
,
R. L.
,
1998
, “
Improving Loudspeaker Performance for Active Noise Control Applications
,”
J. Audio Eng. Soc.
,
46
, No.
6
, pp.
508
519
.
13.
Clark
,
R. L.
, and
Gibbs
,
G.
,
1999
, “
Analysis, Testing, and Control of a Reverberant Sound Field within the Fuselage of a Business Jet
,”
J. Acoust. Soc. Am.
,
105
, No.
4
, pp.
227
286
.
14.
Clark, R. L., Saunders, W. R., and Gibbs, G. P., 1998, Adaptive Structures, Dynamics and Control, Wiley, New York, NY.
15.
Lane, S. A., 1999, Active Noise Control in Acoustic Enclosures Using a Constant Volume Velocity Source, Ph.D. dissertation, Duke University, Durham, NC.
16.
Juang, J., 1994, Applied System Identification, Prentice Hall, Englewood Cliffs, NJ.
17.
Skogestad, S., and Postlewaite, I., 1996, Multivariable Feedback Control, Wiley, New York, NY.
18.
Franklin, G. E., Powell, J. D., and Workman, M. L., 1992, Digital Control of Dynamic Systems, 2nd edition, Addison-Wesley, Reading, MA.
19.
Colloms, M., 1991, High Performance Loudspeakers, Halsted Press, 4th edition, New York, NY.
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