Online fault detection and diagnosis for a class of positive real infinite dimensional systems

We consider a class of positive real infinite dimensional systems that at some unknown time instance may exhibit component failures. The goal of this work is twofold, namely to estimate the state using only input and output signals of the infinite dimensional system under supervision, and to generat...

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Bibliographic Details
Published inProceedings of the 41st IEEE Conference on Decision and Control, 2002 Vol. 4; pp. 4359 - 4364 vol.4
Main Authors Demetriou, M.A., Ito, K.
Format Conference Proceeding
LanguageEnglish
Published IEEE 2002
Subjects
Condition monitoring
Delay systems
Distributed parameter systems
Estimation error
Fault detection
Fault diagnosis
Partial differential equations
Robustness
Signal generators
State estimation
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Summary:We consider a class of positive real infinite dimensional systems that at some unknown time instance may exhibit component failures. The goal of this work is twofold, namely to estimate the state using only input and output signals of the infinite dimensional system under supervision, and to generate a residual signal which may subsequently be used for the detection and isolation of the component failure. Lyapunov redesign methods that were successfully utilized in finite dimensional systems, are extended and applied to this class of systems and are used to derive adaptation laws for the online approximator of the component failure. Examples that illustrate the applicability of this approach to a parabolic partial differential equation and a delay system are included along with some numerical results.
ISBN:0780375165
9780780375161
ISSN:0191-2216
DOI:10.1109/CDC.2002.1185058