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. Two new fault detectability criterions
and three new strong fault detectability criterions are presented.
For comparison, existing fault detectability criterions are
reviewed. To prove the criterions, a framework of polynomial bases
is utilized. With the set of new criterions, together with the
previously known, 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
IFAC Fault Detection, Supervision and Safety for Technical Processes,
2000
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Last updated: 2021-11-10
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