Lowering Orders of Derivatives in Non-linear Residual Generation
Consistency relations are often used to design residual generators
based on non-linear process models. A main difficulty is that they
generally include time differentiated versions of known % or measured
signals which are difficult to estimate in a noisy environment. The
main results of this paper show how to lower, or if possible avoid,
the need to estimate derivatives of known signals in order to compute
a residual. This is achieved by rewriting the problem into an
integrability problem using state-space realization theory. An
attractive feature of the approach is that general differential
algebraic system descriptions can be handled in the same way as for
example ordinary differential equations and also that stability of the
residual generator is always guaranteed.
Jan Åslund and Erik Frisk
IFAC World Congress,
2005
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