Active Control of Sound Intensity for Suppression of Reflected Sound Waves Based on the State Feedback Control

Hironobu TAKAHASHI; Yoiti SUZUKI; Shouichi TAKANE; Futoshi ASANO

Active Control of Sound Intensity for Suppression of Reflected Sound Waves Based on the State Feedback Control

Hironobu TAKAHASHI, Yoiti SUZUKI, Shouichi TAKANE, Futoshi ASANO

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A new method for active suppression of reflected sound waves is proposed in this paper. The proposed control system is based on the state feedback control. FEM (Finite Element Method) was applied to represent the sound field under the system equations as proposed by Samejima et al. A new performance index was derived so as to minimize the sound intensity leaving a control region, which was set around the control source on a wall. On the basis of the system equations and the new performance index, an optimal feedback law governing suppression of waves reflected from the wall was derived. In order to evaluate the validity of the proposed method, computer simulations in one- and two-dimensional sound fields were executed. In a one-dimensional sound field, the time response was examined, and the distribution of the instantaneous sound intensity was evaluated in a two-dimensional sound field. The results showed that the reflected sound waves can be suppressed quite well in one-dimensional sound fields by using this method and that the proposed method can potentially suppress the reflected sound waves in the two-dimensional sound fields as well.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E84-A No.4 pp.1017-1026

Publication Date: 2001/04/01

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Type of Manuscript: Special Section PAPER (Special Section on Acoustic Signal Processing)

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Hironobu TAKAHASHI, Yoiti SUZUKI, Shouichi TAKANE, Futoshi ASANO, "Active Control of Sound Intensity for Suppression of Reflected Sound Waves Based on the State Feedback Control" in IEICE TRANSACTIONS on Fundamentals, vol. E84-A, no. 4, pp. 1017-1026, April 2001, doi: .
Abstract: A new method for active suppression of reflected sound waves is proposed in this paper. The proposed control system is based on the state feedback control. FEM (Finite Element Method) was applied to represent the sound field under the system equations as proposed by Samejima et al. A new performance index was derived so as to minimize the sound intensity leaving a control region, which was set around the control source on a wall. On the basis of the system equations and the new performance index, an optimal feedback law governing suppression of waves reflected from the wall was derived. In order to evaluate the validity of the proposed method, computer simulations in one- and two-dimensional sound fields were executed. In a one-dimensional sound field, the time response was examined, and the distribution of the instantaneous sound intensity was evaluated in a two-dimensional sound field. The results showed that the reflected sound waves can be suppressed quite well in one-dimensional sound fields by using this method and that the proposed method can potentially suppress the reflected sound waves in the two-dimensional sound fields as well.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e84-a_4_1017/_p

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@ARTICLE{e84-a_4_1017,
author={Hironobu TAKAHASHI, Yoiti SUZUKI, Shouichi TAKANE, Futoshi ASANO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Active Control of Sound Intensity for Suppression of Reflected Sound Waves Based on the State Feedback Control},
year={2001},
volume={E84-A},
number={4},
pages={1017-1026},
abstract={A new method for active suppression of reflected sound waves is proposed in this paper. The proposed control system is based on the state feedback control. FEM (Finite Element Method) was applied to represent the sound field under the system equations as proposed by Samejima et al. A new performance index was derived so as to minimize the sound intensity leaving a control region, which was set around the control source on a wall. On the basis of the system equations and the new performance index, an optimal feedback law governing suppression of waves reflected from the wall was derived. In order to evaluate the validity of the proposed method, computer simulations in one- and two-dimensional sound fields were executed. In a one-dimensional sound field, the time response was examined, and the distribution of the instantaneous sound intensity was evaluated in a two-dimensional sound field. The results showed that the reflected sound waves can be suppressed quite well in one-dimensional sound fields by using this method and that the proposed method can potentially suppress the reflected sound waves in the two-dimensional sound fields as well.},
keywords={},
doi={},
ISSN={},
month={April},}

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TY - JOUR
TI - Active Control of Sound Intensity for Suppression of Reflected Sound Waves Based on the State Feedback Control
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1017
EP - 1026
AU - Hironobu TAKAHASHI
AU - Yoiti SUZUKI
AU - Shouichi TAKANE
AU - Futoshi ASANO
PY - 2001
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E84-A
IS - 4
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - April 2001
AB - A new method for active suppression of reflected sound waves is proposed in this paper. The proposed control system is based on the state feedback control. FEM (Finite Element Method) was applied to represent the sound field under the system equations as proposed by Samejima et al. A new performance index was derived so as to minimize the sound intensity leaving a control region, which was set around the control source on a wall. On the basis of the system equations and the new performance index, an optimal feedback law governing suppression of waves reflected from the wall was derived. In order to evaluate the validity of the proposed method, computer simulations in one- and two-dimensional sound fields were executed. In a one-dimensional sound field, the time response was examined, and the distribution of the instantaneous sound intensity was evaluated in a two-dimensional sound field. The results showed that the reflected sound waves can be suppressed quite well in one-dimensional sound fields by using this method and that the proposed method can potentially suppress the reflected sound waves in the two-dimensional sound fields as well.
ER -