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Fault detection in nonlinear continuous‐time systems with uncertain parameters
Author(s) -
Lin Youdong,
Stadtherr Mark A.
Publication year - 2008
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.11535
Subject(s) - envelope (radar) , interval (graph theory) , constraint (computer aided design) , nonlinear system , bounded function , fault (geology) , fault detection and isolation , control theory (sociology) , computer science , interval arithmetic , algorithm , mathematics , artificial intelligence , physics , geology , telecommunications , mathematical analysis , radar , control (management) , combinatorics , quantum mechanics , seismology , geometry
In model‐based fault diagnosis for dynamic systems with uncertain parameters, an envelope of all fault‐free behaviors can be determined from the model and used as a reference for detecting faults. We demonstrate here a method for generating an envelope that is rigorously guaranteed to be complete, but without significant overestimation. The method is based on an interval approach, but uses Taylor models to reduce the overestimation often associated with interval methods. To speed fault detection, a method that uses bounded‐error measurement data and a constraint propagation procedure is proposed for shrinking the envelope. Several fault detection scenarios involving nonlinear, continuous‐time systems are used to evaluate this approach. © 2008 American Institute of Chemical Engineers AIChE J, 2008