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Hinfinity state feedback control of commensurate fractional order systems

Lamine Fadiga 1 Jocelyn Sabatier 1, * Christophe Farges 1, *
* Corresponding author
1 CRONE
IMS - Laboratoire de l'intégration, du matériau au système
Abstract : This paper addresses the problem of Hinfinity pseudo-state feedback stabilization of commensurate fractional order systems (FOS). Along the lines of recent work on Hinfinity norm computation for FOS, an extension of Bounded Real Lemma for FOS is proposed. This lemma is used to derive an Hinfinity state feedback control synthesis method. The efficiency of this method is evaluated on a thermal system modeled by a FOS.
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https://hal.archives-ouvertes.fr/hal-00787254
Contributor : Christophe Farges <>
Submitted on : Monday, February 11, 2013 - 4:22:13 PM
Last modification on : Thursday, January 11, 2018 - 6:27:11 AM

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Lamine Fadiga, Jocelyn Sabatier, Christophe Farges. Hinfinity state feedback control of commensurate fractional order systems. 6th Workshop on Fractional Differentiation and Its Applications (FDA), Feb 2013, Grenoble, France. pp.54-59, ⟨10.3182/20130204-3-FR-4032.00200⟩. ⟨hal-00787254⟩

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