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Modeling, Control and Experiment of a Feedback Active Noise Control System for Free Sound Fields

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Control and Modeling of Complex Systems

Part of the book series: Trends in Mathematics ((TM))

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Abstract

Feedback active noise control (FB-ANC) systems need no reference signal sensors and their implementation cost is therefore attractive due to the relatively simple configuration. This paper reports the design of an FB-ANC system for free sound fields by H∞ control theory based on a lower-order infinite impulse response (IIR) model of the acoustic plant. The acoustic plant, which is an acoustic transmission system from a loudspeaker (i.e., the actuator) to an error microphone (i.e., the sensor), is first devised by using the first-principle modeling method in conjunction with a system identification result. The feedback controller is next designed to attenuate the noise level in the vicinity of the error sensor by reducing the sensitivity function over the frequency range of interest. H∞control theory is applied to achieve the control objective, because it can formulate the control specifications in terms of the frequency weighting functions in the frequency domain. Finally, the effectiveness of the proposed design procedure is demonstrated by experimental tests.

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References

  1. S. Adachi and H. Sano, “Application of two-degree-of-freedom type active noise control using IMC to road noise inside automobiles,” in Proc.35th IEEE Conf. Decision and Contr.1996, pp. 2794–2795.

    Google Scholar 

  2. R. J. Bernhard, “Road noise inside automobiles,”in Proc. Active951995, pp. 21–32.

    Google Scholar 

  3. J. C. Doyle, B. A. Francis, and A. R Tannenbaum, Feedback Control Theory. Macmillan, 1992

    Google Scholar 

  4. K. Eghtesadi, W. K. W. Hong, and H. G. Leventhall, “The tight-coupled monopole active attenuator in a duct,”Noise Contr. Eng. J.vol. 20, no. 1, pp. 16–20, 1983.

    Article  Google Scholar 

  5. K. Glover and J. C. Doyle, “State-space formulae for all stabilizing controller that satisfy an I-(œ-norm bound and relations to risk sensitivity,”Systems e4 Control Lettersvol. 11, pp. 167–172, 1988.

    Article  MathSciNet  MATH  Google Scholar 

  6. B. Hassibi, A. H. Sayed, and T. Kailath, “Optimality of the LMS algorithm,”IEEE Trans. on Signal Processingvol. SP-44, no. 2, pp. 267–280, 1997.

    Google Scholar 

  7. J. James, J. Akers, R. Venugopal, R. Lee, A. Sparks, P. Washabaugh, and D. Berstein, “Modeling, identification, and feedback control of noise in an acoustic duct,”IEEE Trans. Control Systems Technologyvol. 4, no. 3, pp. 283–291, 1996.

    Article  Google Scholar 

  8. S. M. Kuo and D. R. Morgan, Active Noise Control Systems — Algorithms and DSP Implementations.John Wiley & Sons, 1996.

    Google Scholar 

  9. S. M. Kuo and J. Tappia, “The implementation of modified leaky SHARF algorithm for the active noise cancellation,” inProc. IEEE ASSP Workshop Applications of Signal Processing to Audio and Acoustics1989.

    Google Scholar 

  10. L. Ljung, System Identification — Theory for the User, 2nd ed. Prentice Hall PTR, 1999.

    Google Scholar 

  11. P. A. Nelson and S. J. Elliott, Active Control of Sound.Academic Press, 1993.

    Google Scholar 

  12. H. Sano, S. Adachi, and H. Kasuya, “Application of a least squares lattice algorithm to active noise control for an automobile,”Trans. ASME, J. of Dynamic Systems, Measurement, and Controlvol. 119, no. 2, pp. 318–320, 1997.

    Article  Google Scholar 

  13. H. Sano and S. Adachi, “Two-degree-of-freedom active control of road noise inside automobiles,” in Proc. Active97, 1997, pp. 543–546.322 S. Adachi

    Google Scholar 

  14. H. Sano, S. Miyamoto, and S. Adachi, “Two-degree-of-freedom active noise control with internal model control in feedback control” (in Japanese)Trans. of the Japan Society of Mechanical Engineers, vol. 63, no. 608, pp. 1208–1213, 1997.

    Article  Google Scholar 

  15. T. J. Sutton, S. J. Elliott, and A. M. McDonald, “Active control of road noise inside vehicles,”Noise Contr. Eng. J.vol. 42, no. 4, pp. 137–147, 1994.

    Article  Google Scholar 

  16. B. Widrow and S. D. Sterns, Adaptive Signal Processing.Prentice-Hall, 1985.

    MATH  Google Scholar 

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Adachi, S. (2003). Modeling, Control and Experiment of a Feedback Active Noise Control System for Free Sound Fields. In: Hashimoto, K., Oishi, Y., Yamamoto, Y. (eds) Control and Modeling of Complex Systems. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0023-9_19

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  • DOI: https://doi.org/10.1007/978-1-4612-0023-9_19

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6577-1

  • Online ISBN: 978-1-4612-0023-9

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