Utility of high-order sliding mode differentiators for dynamical left inversion problems

Barbot, Jean Pierre, Boutat, Driss and Busawon, Krishna (2015) Utility of high-order sliding mode differentiators for dynamical left inversion problems. IET Control Theory & Applications, 9 (4). pp. 538-544. ISSN 1751-8644

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Official URL: http://dx.doi.org/10.1049/iet-cta.2014.0124

Abstract

This study highlights some crucial issues related to dynamical left inversion problem for non-linear systems, that is the recovery of the applied input function from the knowledge of the output and its derivatives. In particular, it is shown that the presence of non-smooth unknown inputs and non-involutivity of the forced fields’ distribution constitutes an obstruction to conducting a left inversion. As a solution to this problem, the authors propose a novel left-invertible form that explicitly considers smooth as well as non-smooth inputs and for which they design a high-order sliding mode observer to reconstruct the states and the control inputs. Simulations results are provided to validate the performance of the proposed approach.

Item Type: Article
Subjects: H100 General Engineering
H300 Mechanical Engineering
H600 Electronic and Electrical Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Ay Okpokam
Date Deposited: 23 Mar 2015 12:29
Last Modified: 24 Sep 2015 13:25
URI: http://nrl.northumbria.ac.uk/id/eprint/21716

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