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Optimally robust redundancy relations for failure detection in uncertain systemsAll failure detection methods are based, either explicitly or implicitly, on the use of redundancy, i.e. on (possibly dynamic) relations among the measured variables. The robustness of the failure detection process consequently depends to a great degree on the reliability of the redundancy relations, which in turn is affected by the inevitable presence of model uncertainties. In this paper the problem of determining redundancy relations that are optimally robust is addressed in a sense that includes several major issues of importance in practical failure detection and that provides a significant amount of intuition concerning the geometry of robust failure detection. A procedure is given involving the construction of a single matrix and its singular value decomposition for the determination of a complete sequence of redundancy relations, ordered in terms of their level of robustness. This procedure also provides the basis for comparing levels of robustness in redundancy provided by different sets of sensors.
Document ID
19860060959
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Lou, X.-C.
(Massachusetts Inst. of Tech. Cambridge, MA, United States)
Willsky, A. S.
(Massachusetts Inst. of Tech. Cambridge, MA, United States)
Verghese, G. C.
(MIT Cambridge, MA, United States)
Date Acquired
August 12, 2013
Publication Date
May 1, 1986
Publication Information
Publication: Automatica
Volume: 22
ISSN: 0005-1098
Subject Category
Cybernetics
Accession Number
86A45697
Funding Number(s)
CONTRACT_GRANT: NGL-22-009-124
CONTRACT_GRANT: N00014-77-C-0224
CONTRACT_GRANT: AF-AFOSR-82-0258
Distribution Limits
Public
Copyright
Other

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