On the transformation of nonlinear dynamical systems into the extended nonlinear observable canonical form

Driss Boutat, Krishna Busawon

Research output: Contribution to journalArticlepeer-review

40 Citations (Scopus)

Abstract

This article deals with the transformation of a class of nonlinear systems into an extended nonlinear observable canonical form (ENOCF) by dynamic extension. The dynamic extension is obtained by adding auxiliary dynamics and virtual outputs to the original system, thus giving rise to a higher dimensional system in an extended state space. Sufficient geometrical conditions to guarantee the existence of a local diffeomorphism which allow the transformation of the extended system into the ENOCF are given. In particular, an algorithm that permits us to compute such a diffeomorphism is derived.
Original languageEnglish
Pages (from-to)94-106
JournalInternational Journal of Control
Volume84
Issue number1
DOIs
Publication statusPublished - 2011

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