Backstepping boundary control for noise reduction in finite ducts

S. P. Nagarkatti; F. Zhang; C. D. Rahn; D. M. Dawson

doi:10.1109/aim.1999.803281

Backstepping boundary control for noise reduction in finite ducts

S. P. Nagarkatti, F. Zhang, C. D. Rahn, D. M. Dawson

Research output: Contribution to conference › Paper › peer-review

2 Scopus citations

Abstract

In this paper, we develop a boundary controller to actively cancel acoustic disturbances in an enclosed duct of finite length using a loudspeaker. Given a distributed parameter acoustic model and the actuator electrical dynamics at the boundary, Lyapunov-type arguments are used to design a model-based backstepping boundary control law that asymptotically regulates the noise within the duct. Dynamic simulation results demonstrate the improved performance achieved by the proposed active noise cancellation algorithm.

Original language	English (US)
Pages	836-841
Number of pages	6
DOIs	https://doi.org/10.1109/aim.1999.803281
State	Published - Jan 1 1999
Event	Proceedings of the 1999 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM '99) - Atlanta, GA, USA Duration: Sep 19 1999 → Sep 23 1999

Other

Other	Proceedings of the 1999 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM '99)
City	Atlanta, GA, USA
Period	9/19/99 → 9/23/99

All Science Journal Classification (ASJC) codes

Engineering(all)

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10.1109/aim.1999.803281

Cite this

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title = "Backstepping boundary control for noise reduction in finite ducts",

abstract = "In this paper, we develop a boundary controller to actively cancel acoustic disturbances in an enclosed duct of finite length using a loudspeaker. Given a distributed parameter acoustic model and the actuator electrical dynamics at the boundary, Lyapunov-type arguments are used to design a model-based backstepping boundary control law that asymptotically regulates the noise within the duct. Dynamic simulation results demonstrate the improved performance achieved by the proposed active noise cancellation algorithm.",

author = "Nagarkatti, {S. P.} and F. Zhang and Rahn, {C. D.} and Dawson, {D. M.}",

year = "1999",

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doi = "10.1109/aim.1999.803281",

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AU - Zhang, F.

AU - Rahn, C. D.

AU - Dawson, D. M.

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N2 - In this paper, we develop a boundary controller to actively cancel acoustic disturbances in an enclosed duct of finite length using a loudspeaker. Given a distributed parameter acoustic model and the actuator electrical dynamics at the boundary, Lyapunov-type arguments are used to design a model-based backstepping boundary control law that asymptotically regulates the noise within the duct. Dynamic simulation results demonstrate the improved performance achieved by the proposed active noise cancellation algorithm.

AB - In this paper, we develop a boundary controller to actively cancel acoustic disturbances in an enclosed duct of finite length using a loudspeaker. Given a distributed parameter acoustic model and the actuator electrical dynamics at the boundary, Lyapunov-type arguments are used to design a model-based backstepping boundary control law that asymptotically regulates the noise within the duct. Dynamic simulation results demonstrate the improved performance achieved by the proposed active noise cancellation algorithm.

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ER -

Backstepping boundary control for noise reduction in finite ducts

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