Hinfinity analysis and control of commensurate fractional order systems

Christophe Farges 1, * Lamine Fadiga 1 Jocelyn Sabatier 1
* Corresponding author
1 CRONE
IMS - Laboratoire de l'intégration, du matériau au système
Abstract : This paper addresses the problem of the Hinfinity control of commensurate Fractional Order Systems (FOS). Along the lines of recent work on Hinfinity norm computation for FOS, new extensions of the Linfinity and Hinfinity Bounded Real Lemmas to FOS are given after stating the differences between those two norms. An Hinfinity state feedback control method based on the corresponding bounded real lemma is then proposed. The efficiency of this method is evaluated on numerical examples.
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Submitted on : Wednesday, June 26, 2013 - 3:50:29 PM
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Christophe Farges, Lamine Fadiga, Jocelyn Sabatier. Hinfinity analysis and control of commensurate fractional order systems. International Journal of Mechatronics, Elsevier, 2013, 23 (7), pp.772-780. 〈10.1016/j.mechatronics.2013.06.005〉. 〈hal-00838800〉

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