Skip to Main content Skip to Navigation
Journal articles

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.
Complete list of metadatas

Cited literature [43 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01319169
Contributor : Stéphane Victor <>
Submitted on : Monday, May 23, 2016 - 2:46:51 PM
Last modification on : Thursday, April 9, 2020 - 5:08:12 PM

Links full text

Identifiers

Citation

✩ Stéphane 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⟩

Share

Metrics

Record views

414