Criterions for detectability and strong detectability of faults in linear systems
A fault is (strongly) detectable if it is possible to construct a
residual generator that is sensitive to the (constant) fault while
decoupling all disturbances. Existing fault detectability criterions
are reviewed and in two cases, improved versions are derived. For
strong fault detectability, three new criterions are presented. To
prove all criterions, a framework of polynomial bases is utilised.
With these new and improved criterions, there exists now a criterion
for models given both on transfer function form and state-space form,
and for both fault detectability and strong fault detectability
investigations. Recommendations are given on what criterion to use
in different situations.
Mattias Nyberg
International Journal of Control,
2002
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