Brief Identifiability of uncontrolled nonlinear rational systems

Authors:
N. D. Evans;M. J. Chapman;M. J. Chappell;K. R. Godfrey
Affiliations:
School of Engineering, University of Warwick, CV4 7AL, UK;School of MIS-Mathematics, Coventry University, CV1 5FB, UK;School of Engineering, University of Warwick, CV4 7AL, UK;School of Engineering, University of Warwick, CV4 7AL, UK
Venue:
Automatica (Journal of IFAC)
Year:
2002

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Abstract

In this paper an approach for the identifiability analysis of uncontrolled rational systems is provided. The method is based on the use of a local smooth state space transformation. In particular it is shown that, provided the model satisfies an observability rank condition, the state trajectories of an uncontrolled system corresponding to parameter vectors with outputs that are identical locally in time, are connected via a smooth transformation.