A Minimal Polynomial Basis Solution to Residual Generation for Fault Diagnosis in Linear Systems
A fundamental part of a fault diagnosis system is the residual generator. Here a
new method, the \emph{minimal polynomial basis approach}, for design of residual
generators for linear systems, is presented. The residual generation problem is
transformed into a problem of finding polynomial bases for null-spaces of
polynomial matrices. This is a standard problem in established linear systems
theory, which means that numerically efficient computational tools are generally
available. It is shown that the minimal polynomial basis approach can find all
possible residual generators, including those of minimal McMillan degree, and
the solution has a minimal parameterization. It is shown that some other well
known design methods, do not have these properties.
Erik Frisk and Mattias Nyberg
1999
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