Active incipient fault detection in continuous time systems with multiple simultaneousfaults

Martene L. Fair; Stephen  L. Campbell

doi:10.3934/naco.2011.1.211

Article Contents

2011, Volume 1, Issue 2: 211-224. Doi: 10.3934/naco.2011.1.211

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Active incipient fault detection in continuous time systems with multiple simultaneous faults

Martene L. Fair^1, and
Stephen L. Campbell^2,

1.
Department of Physics and Mathematics, Tennessee State University, Nashville, Tennessee
2.
Department of Mathematics, North Carolina State University, Raleigh, North Carolina

Received: October 2010

Revised: January 2011

Published: May 2011

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Abstract

The problem of detecting small parameter variations in linear uncertain systems due to incipient faults, with the possibility of injecting an input signal to enhance detection, is considered. Most studies assume that there is only one fault developing. Recently an active approach for two or more simultaneous faults has been introduced for the discrete time case. In this paper we extend this approach to the continuous time case. A computational method for the construction of an input signal for achieving guaranteed detection with specified precision is presented. The method is an extension of a multi-model approach used for the construction of auxiliary signals for failure detection, however, new technical issues must be addressed.

Keywords:

Fault detection,
numerical methods.

Mathematics Subject Classification: Primary: 34H05; Secondary: 49N90.

Citation:

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References

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