Optimal placement of controls for a one-dimensional active noise control problem

Fariba Fahroo

Kybernetika (1998)

  • Volume: 34, Issue: 6, page [655]-665
  • ISSN: 0023-5954

Abstract

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In this paper, we investigate the optimal location of secondary sources (controls) to enhance the reduction of the noise field in a one-dimensional acoustic cavity. We first formulate the active control strategy as a linear quadratic tracking (LQT) problem in a Hilbert space, and then formulate the optimization problem as minimizing an appropriate performance criterion based on the LQT cost function with respect to the location of the controls. A numerical scheme based on the Legendre–tau method is used to approximate the control and the optimization problems. Numerical examples are presented to illustrate the effect of location of controls on the reduction of the noise field.

How to cite

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Fahroo, Fariba. "Optimal placement of controls for a one-dimensional active noise control problem." Kybernetika 34.6 (1998): [655]-665. <http://eudml.org/doc/33396>.

@article{Fahroo1998,
abstract = {In this paper, we investigate the optimal location of secondary sources (controls) to enhance the reduction of the noise field in a one-dimensional acoustic cavity. We first formulate the active control strategy as a linear quadratic tracking (LQT) problem in a Hilbert space, and then formulate the optimization problem as minimizing an appropriate performance criterion based on the LQT cost function with respect to the location of the controls. A numerical scheme based on the Legendre–tau method is used to approximate the control and the optimization problems. Numerical examples are presented to illustrate the effect of location of controls on the reduction of the noise field.},
author = {Fahroo, Fariba},
journal = {Kybernetika},
keywords = {linear quadratic tracking (LQT) problem in Hilbert space; optimal actuator/sensor location; Legendre-Tau method; linear quadratic tracking (LQT) problem in Hilbert space; optimal actuator/sensor location; Legendre-Tau method},
language = {eng},
number = {6},
pages = {[655]-665},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Optimal placement of controls for a one-dimensional active noise control problem},
url = {http://eudml.org/doc/33396},
volume = {34},
year = {1998},
}

TY - JOUR
AU - Fahroo, Fariba
TI - Optimal placement of controls for a one-dimensional active noise control problem
JO - Kybernetika
PY - 1998
PB - Institute of Information Theory and Automation AS CR
VL - 34
IS - 6
SP - [655]
EP - 665
AB - In this paper, we investigate the optimal location of secondary sources (controls) to enhance the reduction of the noise field in a one-dimensional acoustic cavity. We first formulate the active control strategy as a linear quadratic tracking (LQT) problem in a Hilbert space, and then formulate the optimization problem as minimizing an appropriate performance criterion based on the LQT cost function with respect to the location of the controls. A numerical scheme based on the Legendre–tau method is used to approximate the control and the optimization problems. Numerical examples are presented to illustrate the effect of location of controls on the reduction of the noise field.
LA - eng
KW - linear quadratic tracking (LQT) problem in Hilbert space; optimal actuator/sensor location; Legendre-Tau method; linear quadratic tracking (LQT) problem in Hilbert space; optimal actuator/sensor location; Legendre-Tau method
UR - http://eudml.org/doc/33396
ER -

References

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  1. Banks H. T. J. S. L. Keeling R., Silcox, Optimal control techniques for active noise suppression, LCDS/CCS 88-26, In: Proc. 27th IEEE Conf. on Decision and Control, Austin 1988, pp. 2006–2011 (1988) 
  2. Banks H. T., Keeling S. L., Silcox R. J., Active control of propeller induced noise fields, Center for Research in Scientific Computation Report, CRSC-TR94-16, N. C. State University 1994 
  3. Banks H. T., Fahroo F., Legendre–tau approximations for LQR feedback control of acoustic pressure fields, J. Math. Systems, Estimation and Control 5 (1995), 2, 271–274 (1995) MR1646277

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