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Flatness for linear fractional systems with application to a thermal system

Abstract : This paper is devoted to the study of the flatness property of linear time-invariant fractional systems. In the framework of polynomial matrices of the fractional derivative operator, we give a characterization of fractionally flat outputs and a simple algorithm to compute them. We also obtain a characterization of the so-called fractionally 0-flat outputs. We then present an application to a two dimensional heated metallic sheet, whose dynamics may be approximated by a fractional model of order 1/2. The trajectory planning of the temperature at a given point of the metallic sheet is obtained thanks to the fractional flatness property, without integrating the system equations. The pertinence of this approach is discussed on simulations.
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Submitted on : Monday, May 23, 2016 - 2:46:51 PM
Last modification on : Wednesday, November 17, 2021 - 12:31:03 PM

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Stephane Victor, Pierre Melchior, Jean Lévine, Alain Oustaloup. Flatness for linear fractional systems with application to a thermal system. Automatica, Elsevier, 2015, 57, pp.213-221. ⟨10.1016/j.automatica.2015.04.021⟩. ⟨hal-01319169⟩

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