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Communication Dans Un Congrès Année : 2014

H2-norm of fractional transfer functions of implicit type of the first kind

Mathieu Chevrié
Rachid Malti
Jocelyn Sabatier
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Résumé

This paper studies the H2-norm, or impulse response energy, of fractional transfer functions of implicit type. The analytical expression of the H2-norm is first derived for an elementary fractional transfer function of the first kind with a single real pole. Series connection of such a transfer function with a pure fractional integrator and with another implicit transfer function of the first kind are then studied. Results developed in the paper are finally used to derive a criterion to evaluate the quality of an integer order approximation for an implicit type fractional order model of the first kind.

Domaines

Automatique

Dates et versions

hal-01063022 , version 1 (11-09-2014)

Identifiants

Citer

Mathieu Chevrié, Rachid Malti, Christophe Farges, Jocelyn Sabatier. H2-norm of fractional transfer functions of implicit type of the first kind. 19th IFAC World Congress, Aug 2014, Cape Town, South Africa. pp.2022-2027, ⟨10.3182/20140824-6-ZA-1003.01458⟩. ⟨hal-01063022⟩
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