Analysis and Design of Diagnosis Systems Based on the Structural Differential Index
Structural approaches have shown to be useful for analyzing and
designing diagnosis systems for industrial systems. In simulation and
estimation literature, related theories about differential index have
been developed and, also there, structural methods have been
successfully applied for simulating large-scale differential algebraic
models. A main contribution of this paper is to connect those theories
and thus making the tools from simulation and estimation literature
available for model based diagnosis design. A key step in the
unification is an extension of the notion of differential index of
exactly determined systems of equations to overdetermined systems of
equations. A second main contribution is how differential-index can be
used in diagnosability analysis and also in the design stage where an
exponentially sized search space is significantly reduced. This allows
to focus on residual generators where basic design techniques, such as
standard state-observation techniques and sequential residual
generation are directly applicable. The developed theory has a direct
industrial relevance, which is illustrated with discussions on an
automotive engine example.
Erik Frisk, Mattias Krysander and Jan Åslund
2017
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