This paper reports experimental results in the application of feedback control of acoustic noise in a 2D enclosure. It is shown that the feedback control of 2D enclosures poses peculiar problems compared to simple 1D ducts. The chief among them are the need for explicit budgeting of uncertainties and dealing with high model orders. This paper demonstrates a practical way to design controllers for such systems using minimax LQG methods. It is shown that an important step in the controller design is the proper choice of a weighting function. The results presented in this paper are impressive and they can be further improved by proper choice of actuator and sensor placements.
Issue Section:
Technical Papers
1.
Elliott
, S. J.
, 1999, “Down with Noise,” IEEE Spectrum, June, pp. 54–61.2.
Hu
, J.-S.
, Yu
, S.-H.
, and Hsieh
, C.-S.
, 1998
, “Application of Model-Matching Techniques to Feedforward Active Noise Control Design
,” IEEE Trans. Control Syst. Technol.
, 6
(1
), pp. 33
–42
.3.
Omoto
, A.
, and Elliott
, S. J.
, 1999
, “The Effect of Structured Uncertainty in the Acoustic Plant on Multichannel Feedforward Control Systems
,” IEEE Trans. Speech Audio Process.
, 7
(2
), pp. 204
–212
.4.
Pota
, H. R.
, and Kelkar
, A. G.
, 2001
, “Modelling and Control of Acoustic Ducts
,” ASME J. Vibr. Acoust.
, 123
(1
), pp. 2
–10
.5.
Kelkar, A. G., and Pota, H. R., 2000, “Robust Broadband Control of Acoustic Duct,” Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, pp. 4485–4490.
6.
Hong
, J.
, Akers
, J. C.
, Venugopal
, R.
, Lee
, M.-N.
, Sparks
, A. G.
, Washabaugh
, P. D.
, and Bernstein
, D. S.
, 1996
, “Modeling, Identification, and Feedback Control of Noise in an Acoustic Duct
,” IEEE Trans. Control Syst. Technol.
, 4
(3
), pp. 283
–291
.7.
Clark
, R. L.
, and Cole
, D. G.
, 1995
, “Active Damping of Enclosed Sound Fields Through Direct Rate Feedback Control
,” J. Acoust. Soc. Am.
, 97
(3
), pp. 1710
–1716
.8.
Erwin, R. S., and Bernstein, D. S., 1997, “Discrete-time H2/H∞ Control of an Acoustic Duct: Delta-domain Design and Experimental Results,” Conference on Decision and Control, IEEE, San Deigo, CA, pp. 281–282.
9.
Petersen, I. R., and Pota, H. R., 2000, “Minimax LQG Optimal Control of an Experimental Acoustic Duct,” IEE Control 2000 Conference, Cambridge, UK.
10.
Petersen, I. R., 2001, “Multivariable Control of Noise in an Acoustic Duct,” Proceedings of the European Control Conference ECC2001, Porto, Portugal.
11.
Pota
, H. R.
, and Kelkar
, A. G.
, 2001
, “On Perfect Acoustic Noise Cancelling Control
,” Control and Intelligent Systems
, 29
(2
), pp. 48
–54
.12.
Petersen, I. R., Ugrinovski, V., and Savkin, A. V., 2000, Robust Control Design using H∞ Methods, Springer-Verlag, London.
13.
Ugrinovskii, V. A., and Petersen, I. R., 1998, “Time-averaged Robust Control of Stochastic Partially Observed Uncertain Systems,” Proceedings of the IEEE Conference on Decision and Control, IEEE, Tampa, FL.
14.
Fang, B., Kelkar, A. G., and Joshi, S. M., 2002, “Modelling and Control of Acoustic-Structure Interaction in 3-D Enclosures,” IEEE 2002 Conference on Decision and Control, Las Vegas, Nevada.
15.
Ding
, W. P.
, and Chen
, H. L.
, 2001
, “A Symmetrical Finite Element Model for Structure-Acoustic Coupling of an Elastic, Thin-Walled Cavity
,” J. Sound Vib.
, 243
(3
), pp. 547
–559
.16.
Marburg
, S.
, Beer
, H.-J.
, Gier
, J.
, Hardtke
, H.-J.
, Rennert
, R.
, and Perret
, F.
, 2002
, “Experimental Verification of Structural-Acoustic Modelling and Design Optimization
,” J. Sound Vib.
, 252
(4
), pp. 591
–615
.17.
Banks, H. T., Brown, D. E., Smith, R. C., Metcalf, V. L., Wang, Y., and Silcox, R. J., 1994, “Noise Control in a 3-D Structural Acoustic System: Numerical and Experimental Implementation of a PDE-Based Methodology,” IEEE Proceedings of the 33rd Conference on Decision and Control, Lake Buena Vista, FL, pp. 305–310.
18.
Nelson, P. A., and Elliott, S. J., 1992, Active Control of Sound, Academic Press, London.
19.
Elliott, S., 2001, Signal Processing for Active Control, Academic Press, Sydney.
20.
McKelvey
, T.
, Akc¸ay
, H.
, and Ljung
, L.
, 1996
, “Subspace-based Multivariable System Identification from Frequency Response Data
,” IEEE Trans. Autom. Control
, 41
(7
), pp. 960
–979
.21.
Friedlander
, B.
, and Porat
, B.
, 1984
, “The Modified Yule-Walker Method of ARMA Spectral Estimation
,” IEEE Trans. Aerosp. Electron. Syst.
, 20
(2
), pp. 158
–173
.22.
Petersen, I. R., Pota, H. R., and Jahromi, M. R. S., 2002, “System Identification, Uncertainty Modelling and Actuator Placement in the Robust Control of an Acoustic Duct,” Proceedings of the Conference on Information, Decision, and Control, Adelaide, Australia.
23.
Zhou, K., Doyle, J. C., and Glover, K., 1996, Robust and Optimal Control, Prentice Hall, NJ.
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