Discrete time feedback control of sound radiation
Discrete time feedback control of sound radiation
The solution of the discrete time linear quadratic Gaussian (LQG) optimal control problem is applied to problems in the feedback control of sound radiation. The solution used requires the identification of suitable recursive models of both the plant to be controlled and shaping filter from which the unwanted disturbance is assumed to originate. The traditional formulation of the problem involves the minimisation of the mean squared error signal derived directly from the plant output. This formulation is extended here in order to deal with the minimisation of the sum of the mean squared error signals evaluated at a number of error sensors placed at locations other than at the output of the plant to be controlled. The analysis is thus appropriate for the design of controllers whose objective is the minimisation of far field acoustic pressure radiated by a vibrating surface.
Nelson, P. A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
Thomas, D. R.
b26aada3-a8d8-476a-a71a-4e20a96549f5
8 May 1996
Nelson, P. A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
Thomas, D. R.
b26aada3-a8d8-476a-a71a-4e20a96549f5
Nelson, P. A. and Thomas, D. R.
(1996)
Discrete time feedback control of sound radiation.
2nd AIAA/CEAS Aeroacoustics Conference, 1996, , State College, United States.
06 - 08 May 1996.
(doi:10.2514/6.1996-1785).
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Conference or Workshop Item
(Paper)
Abstract
The solution of the discrete time linear quadratic Gaussian (LQG) optimal control problem is applied to problems in the feedback control of sound radiation. The solution used requires the identification of suitable recursive models of both the plant to be controlled and shaping filter from which the unwanted disturbance is assumed to originate. The traditional formulation of the problem involves the minimisation of the mean squared error signal derived directly from the plant output. This formulation is extended here in order to deal with the minimisation of the sum of the mean squared error signals evaluated at a number of error sensors placed at locations other than at the output of the plant to be controlled. The analysis is thus appropriate for the design of controllers whose objective is the minimisation of far field acoustic pressure radiated by a vibrating surface.
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Published date: 8 May 1996
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© 1996, American Institute of Aeronautics and Astronautics, Inc.
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2nd AIAA/CEAS Aeroacoustics Conference, 1996, , State College, United States, 1996-05-06 - 1996-05-08
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Local EPrints ID: 468702
URI: http://eprints.soton.ac.uk/id/eprint/468702
PURE UUID: 9aaecbc9-bc86-4a6c-8a25-984ef96aced2
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Date deposited: 23 Aug 2022 16:45
Last modified: 17 Mar 2024 02:32
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Author:
D. R. Thomas
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