Computation of flat outputs for fractional systems: a Thermal Application

Abstract : In trajectory planning, flatness is used to compute inputs generating suitable trajectories, without using any integration. The extension of linear flat outputs to linear controllable time-invariant fractional systems is put forward by means of polynomial matrix formalism, leading to the notion of fractional flatness. The so-called defining matrices, which are transformations that express all system variables in function of the flat outputs and a finite number of their time derivatives, are introduced and characterized in this fractional context. Fractional flatness is then applied to the trajectory planning of a real thermal experiment.
Type de document :
Communication dans un congrès
6th IFAC Workshop on Fractional Differentiation and Its Applications (FDA'13), Feb 2013, Grenoble, France. pp.1-6, 2013
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https://hal.archives-ouvertes.fr/hal-00978553
Contributeur : Stéphane Victor <>
Soumis le : lundi 14 avril 2014 - 12:28:05
Dernière modification le : mardi 13 février 2018 - 11:05:07

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  • HAL Id : hal-00978553, version 1

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Stéphane Victor, Pierre Melchior, Alain Oustaloup. Computation of flat outputs for fractional systems: a Thermal Application. 6th IFAC Workshop on Fractional Differentiation and Its Applications (FDA'13), Feb 2013, Grenoble, France. pp.1-6, 2013. 〈hal-00978553〉

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