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Nonlinear control of boundary impedance in an acoustic waveguide

Nonlinear control of boundary impedance in an acoustic waveguide
Nonlinear control of boundary impedance in an acoustic waveguide

Wavetubes are employed for measurements of acoustic properties in various fluids. The ability to manipulate and control the frequency-dependent boundary impedance of the tube improves the estimation accuracy. Passive solutions, which use composite materials to change the boundary impedance, enable one to realize a finite combination of boundary impedances. In this paper, the tube boundary impedance is tuned at will by using two loudspeakers. The suggested method operates in the presence of dispersion by estimating, in real-time, a parametric reduced-order model using a multichannel least mean square algorithm. The identified model is fed to a nonlinear, adaptive control algorithm to realize modal traveling wave ratio (TWR) control. It has been noted that the TWR is smooth and parabolic across closed regions in the parameter space, thus assuring the convergence of the nonlinear control. Several methods to estimate the TWR gradient are considered and compared based on an analytical model of a rigid impedance tube. An experimental case study utilizing an air-filled impedance tube with two loudspeakers is presented. The results demonstrate the ability to control the dynamics of the principal acoustic mode at will, thus enabling one to set the desired tube's boundary impedance.

0001-4966
3889-3903
Vered, Yoav
c13938de-457b-4e25-b57b-7471c7bc832a
Bucher, Izhak
53f51e1b-46cb-45f6-b812-14cc3a0be938
Vered, Yoav
c13938de-457b-4e25-b57b-7471c7bc832a
Bucher, Izhak
53f51e1b-46cb-45f6-b812-14cc3a0be938

Vered, Yoav and Bucher, Izhak (2021) Nonlinear control of boundary impedance in an acoustic waveguide. Journal of the Acoustical Society of America, 150 (5), 3889-3903. (doi:10.1121/10.0007228).

Record type: Article

Abstract

Wavetubes are employed for measurements of acoustic properties in various fluids. The ability to manipulate and control the frequency-dependent boundary impedance of the tube improves the estimation accuracy. Passive solutions, which use composite materials to change the boundary impedance, enable one to realize a finite combination of boundary impedances. In this paper, the tube boundary impedance is tuned at will by using two loudspeakers. The suggested method operates in the presence of dispersion by estimating, in real-time, a parametric reduced-order model using a multichannel least mean square algorithm. The identified model is fed to a nonlinear, adaptive control algorithm to realize modal traveling wave ratio (TWR) control. It has been noted that the TWR is smooth and parabolic across closed regions in the parameter space, thus assuring the convergence of the nonlinear control. Several methods to estimate the TWR gradient are considered and compared based on an analytical model of a rigid impedance tube. An experimental case study utilizing an air-filled impedance tube with two loudspeakers is presented. The results demonstrate the ability to control the dynamics of the principal acoustic mode at will, thus enabling one to set the desired tube's boundary impedance.

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e-pub ahead of print date: 22 November 2021

Identifiers

Local EPrints ID: 457171
URI: http://eprints.soton.ac.uk/id/eprint/457171
ISSN: 0001-4966
PURE UUID: 49fe8b55-b3e0-44c4-957b-3a19a2390d76
ORCID for Yoav Vered: ORCID iD orcid.org/0000-0002-5270-5075

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Date deposited: 25 May 2022 16:55
Last modified: 16 Mar 2024 17:19

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Contributors

Author: Yoav Vered ORCID iD
Author: Izhak Bucher

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