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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.
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Contributor : Stéphane Victor <>
Submitted on : Monday, April 14, 2014 - 12:28:05 PM
Last modification on : Friday, February 28, 2020 - 12:46:02 PM


  • HAL Id : hal-00978553, version 1


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. ⟨hal-00978553⟩



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