Abstract
Abstract¿We present and apply an alternative method for
the investigation of the well-known parameter identifiability
question for non-linear system models. The method is based
on a geometric analysis of the parametric output sensitivities
and is, in fact, an application of the tools that are available in
non-linear control theory to an augmented system, including
the parametric output sensitivities. Accessibility Lie algebras
are calculated that yield insight (through a simple rank test)
in the controllability of this augmented system. The method
is demonstrated in an example that is due to Dochain et al
[4]. Results are confirmed by the method that has certain
advantages in comparison to, for example, the Taylor series
approach that seeks for identifiable combinations of parameters
through inspection of the individual terms in a Taylor series
expansion of the output signal, i.e. application of the well-known
method of Pohjanpalo [15]. Parametric output sensitivities (as
already noted by D¨otsch and Van den Hof [5] and Peeters and
Hanzon [13]) play a crucial role in identifiability analysis and
we further elaborate on this insight in the current paper. Our
goals are (i) to present an interesting method for addressing the
(local) identifiability question for non-linear systems and (ii) to
gain better understanding in the role of parametric state- and
output sensitivities in the identifiability question that stems from
an alternative perspective, and that has not been presented
in the identification literature. Of course, we are aware of
other algorithms and software that establishes an answer to
the identifiability question, albeit from a different perspective,
e.g. [19], but seek in the current paper mainly for another
interpretation and computational framework to address the
question of local identifiability, shedding some new light on
the problem.
Original language | English |
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Title of host publication | Proceedings of the European Control Conference 2007 |
Pages | 3450-3456 |
Publication status | Published - 2007 |
Event | European Control Conference 2007, Kos, Greece - Duration: 2 Jul 2007 → 5 Jul 2007 |
Conference/symposium
Conference/symposium | European Control Conference 2007, Kos, Greece |
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Period | 2/07/07 → 5/07/07 |