Flat output computation for fractional linear systems: application to a thermal system
Résumé
The flatness property is studied for 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. These results are applied to a bidimensional thermal system approximated by a fractional transfer function of order 1/2. Temperature trajectory planning at a given point is then deduced without integration of the system equations.