Lowering Orders of Derivatives in Non-linear Consistency Relations - Theory and Simulation Examples
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,
especially higher order derivatives. 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 the 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.
Erik Frisk and Jan Åslund
2003
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