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 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 and explicitly those of minimal
order.
Erik Frisk and Mattias Nyberg
Automatica,
2001
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