Name
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. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.automatica.2015.04.021 | Automatica |
Keywords | Field | DocType |
Polynomial matrices,Fractional systems,Differential flatness,Thermal system,Trajectory planning | Flatness (systems theory),Mathematical optimization,Thermal,Polynomial,Control theory,Matrix (mathematics),Operator (computer programming),Fractional calculus,SIMPLE algorithm,Mathematics,Trajectory planning | Journal |
Volume | Issue | ISSN |
57 | C | Automatica (57) 2015, p. 213-221 |
Citations | PageRank | References |
2 | 0.52 | 9 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| StéPhane Victor | 1 | 37 | 4.61 |
| Pierre Melchior | 2 | 125 | 19.68 |
| Jean Lévine | 3 | 231 | 51.06 |
| Alain Oustaloup | 4 | 203 | 42.62 |