In this note, fault detection techniques based on finite dimensional results are extended and applied to a class of infinite dimensional dynamical systems. This special class of systems assumes linear plant dynamics having an abrupt additive perturbation as the fault. This fault is assumed to be linear in the (unknown) constant (and possibly functional) parameters. An observer-based model estimate is proposed which serves to monitor the system's dynamics for unanticipated failures, and its well posedness is summarized. Using a Lyapunov synthesis approach extended and applied to infinite dimensional systems, a stable adaptive fault diagnosis (fault parameter learning) scheme is developed. The resulting parameter adaptation rule is able to “sense” the instance of the fault occurrence. In addition, it identifies the fault parameters using the additional assumption of persistence of excitation. Extension of the adaptive monitoring scheme to incipient faults (time varying faults) is summarized. Simulations studies are used to illustrate the applicability of the theoretical results.
Mots clés : fault detection, distributed parameter systems
@article{COCV_2002__7__43_0,
author = {Demetriou, Michael A.},
title = {A model-based fault detection and diagnosis scheme for distributed parameter systems : a learning systems approach},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {43--67},
publisher = {EDP-Sciences},
volume = {7},
year = {2002},
doi = {10.1051/cocv:2002003},
mrnumber = {1925021},
zbl = {1053.93018},
language = {en},
url = {http://www.numdam.org/articles/10.1051/cocv:2002003/}
}
TY - JOUR AU - Demetriou, Michael A. TI - A model-based fault detection and diagnosis scheme for distributed parameter systems : a learning systems approach JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2002 SP - 43 EP - 67 VL - 7 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv:2002003/ DO - 10.1051/cocv:2002003 LA - en ID - COCV_2002__7__43_0 ER -
%0 Journal Article %A Demetriou, Michael A. %T A model-based fault detection and diagnosis scheme for distributed parameter systems : a learning systems approach %J ESAIM: Control, Optimisation and Calculus of Variations %D 2002 %P 43-67 %V 7 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv:2002003/ %R 10.1051/cocv:2002003 %G en %F COCV_2002__7__43_0
Demetriou, Michael A. A model-based fault detection and diagnosis scheme for distributed parameter systems : a learning systems approach. ESAIM: Control, Optimisation and Calculus of Variations, Tome 7 (2002), pp. 43-67. doi : 10.1051/cocv:2002003. http://www.numdam.org/articles/10.1051/cocv:2002003/
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