Implications of causality in active control.
Implications of causality in active control.
In an active control system a number of secondary sources of sound or vibration are driven by electrical signals; these are derived from detection sensors and then passed through some form of electronic controller. The transfer function of the controller required to achieve optimal attenuation can be derived analytically for a number of active control problems. The impulse response of these 'ideal' controllers can then be calculated. This paper begins with a discussion of one simple type of active control system which has a causal ideal controller. Another example of active control is then introduced whose ideal controller is not causal under certain conditions. In order to simplify the physical interpretation of the results, examples are chosen which involve the propagation of plane waves of sound in a duct.
583-588
Elliott, S. J.
721dc55c-8c3e-4895-b9c4-82f62abd3567
Nelson, P. A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
23 July 1986
Elliott, S. J.
721dc55c-8c3e-4895-b9c4-82f62abd3567
Nelson, P. A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
Elliott, S. J. and Nelson, P. A.
(1986)
Implications of causality in active control.
In Implications of causality in active control.
vol. 1,
Noise Control Foundation.
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
In an active control system a number of secondary sources of sound or vibration are driven by electrical signals; these are derived from detection sensors and then passed through some form of electronic controller. The transfer function of the controller required to achieve optimal attenuation can be derived analytically for a number of active control problems. The impulse response of these 'ideal' controllers can then be calculated. This paper begins with a discussion of one simple type of active control system which has a causal ideal controller. Another example of active control is then introduced whose ideal controller is not causal under certain conditions. In order to simplify the physical interpretation of the results, examples are chosen which involve the propagation of plane waves of sound in a duct.
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Published date: 23 July 1986
Venue - Dates:
International Conference on Noise Control Engineering, Progress in Noise Control: Inter-Noise 86, Massachusetts Institute of Technology, Massachusetts, United States, 1986-07-21 - 1986-07-23
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Local EPrints ID: 468865
URI: http://eprints.soton.ac.uk/id/eprint/468865
PURE UUID: 7890de35-9210-4c5a-b9c0-9f2bd9d04855
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Date deposited: 30 Aug 2022 16:56
Last modified: 06 Jun 2024 01:31
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