On observability and pseudo state estimation of fractional order systems

Jocelyn Sabatier; Christophe Farges; Mathieu Merveillaut; Ludovic Feneteau

doi:10.3166/ejc.18.260-271

On observability and pseudo state estimation of fractional order systems

Jocelyn Sabatier ¹ Christophe Farges ^{1, *} Mathieu Merveillaut ¹ Ludovic Feneteau ²

* Corresponding author

1 CRONE

IMS - Laboratoire de l'intégration, du matériau au système

2 IMS - Laboratoire de l'intégration, du matériau au système

Abstract : In this paper, fractional order system observability is dis- cussed. A representation of these systems that involves a classical linear integer system and a system described by a parabolic equation is used to define the system real state and to conclude that the system state is approximately observable. However, it is also shown that the pseudo state space representation, usually encountered in the literature for fractional systems, can be used to design Luenberger like observers that permits an estimation of important vari- ables in the system. Such an observer is finally used in order to estimate the temperature in a thermal system from a temperature measure at a different abscissa.

Keywords : Commensurate fractional order systems observability

Document type :

Journal articles

Domain :

Computer Science [cs] / Automatic Control Engineering

Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00787240
Contributor : Christophe Farges <>
Submitted on : Monday, February 11, 2013 - 4:07:44 PM
Last modification on : Thursday, January 11, 2018 - 6:27:11 AM

On observability and pseudo state estimation of fractional order systems

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On observability and pseudo state estimation of fractional order systems

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