Hinfinity output feedback control of commensurate fractional order systems

Lamine Fadiga 1 Christophe Farges 1, * Jocelyn Sabatier 1 Kévin Santugini-Repiquet 2, 3
* Corresponding author
1 CRONE
IMS - Laboratoire de l'intégration, du matériau au système
3 MC2 - Modélisation, contrôle et calcul
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5251
Abstract : This paper addresses the problem of Hinfinity output feedback control of commensurate Fractional Order Systems (FOS) of order 1 < nu < 2. 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 a method to design Hinfinity output feedback control laws. The efficiency of this method is evaluated on a numerical example.
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Conference papers
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Submitted on : Wednesday, June 26, 2013 - 3:41:33 PM
Last modification on : Thursday, January 11, 2018 - 6:27:11 AM

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  • HAL Id : hal-00838790, version 1

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Lamine Fadiga, Christophe Farges, Jocelyn Sabatier, Kévin Santugini-Repiquet. Hinfinity output feedback control of commensurate fractional order systems. European Control Conference (ECC), Jul 2013, Zurich, Switzerland. pp.4538-4543. ⟨hal-00838790⟩

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