Residual Generation for Fault Diagnosis of Systems Described by General Linear Differential-Algebraic Equations (revised)
Linear residual generation for DAE systems has been considered. In
all results derived, no distinction between input and output signals is
done. A complete characterization and parameterization of all residual
generators is presented. Further, a condition for fault detectability
in DAE systems is given. Based on the characterization of all residual
generators, a design strategy for residual generators for DAE systems
is presented. Given that a set of faults are detectable, the design
strategy will result in a residual generator sensitive to all the
detectable faults. Further the residual generator is guaranteed to be
of lowest possible order. Special care has been devoted to assure this
property also for non-controllable systems.
Erik Frisk and Mattias Nyberg
2005

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