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Article Dans Une Revue Mechatronics Année : 2013

Hinfinity analysis and control of commensurate fractional order systems

Christophe Farges
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Lamine Fadiga
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Jocelyn Sabatier
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Résumé

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.

Dates et versions

hal-00838800 , version 1 (26-06-2013)

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Christophe Farges, Lamine Fadiga, Jocelyn Sabatier. Hinfinity analysis and control of commensurate fractional order systems. Mechatronics, 2013, 23 (7), pp.772-780. ⟨10.1016/j.mechatronics.2013.06.005⟩. ⟨hal-00838800⟩
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