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

Boutat, Driss and Busawon, Krishna (2011) On the transformation of nonlinear dynamical systems into the extended nonlinear observable canonical form. International Journal of Control, 84 (1). pp. 94-106. ISSN 0020-7179

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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.

Item Type:	Article
Uncontrolled Keywords:	nonlinear observers, observable canonical form, dynamic extension
Subjects:	H100 General Engineering H300 Mechanical Engineering
Department:	Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User:	EPrint Services
Date Deposited:	13 Oct 2011 11:51
Last Modified:	13 Oct 2019 00:31
URI:	http://nrl.northumbria.ac.uk/id/eprint/2671

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