Flatness control for linear fractional {MIMO} systems: thermal application

Stephane Victor (1) , Pierre Melchior (1) , Dominique Nelson Gruel (1) , Alain Oustaloup (2)

1 IMS - Laboratoire de l'intégration, du matériau au système
2 Automatique / CRONE

This paper concerns the application of flatness principle to linear fractional MIMO systems. As soon as the path has been obtained by fractional flatness, a robust path tracking based on CRONE control is presented. Flatness in path planning is used to determine the controls to apply without integrating any differential equations when the trajectory is fixed (in space and in time). Several developments have been made for LTI systems. On previous works on fractional systems, especially in MIMO, developments are still to be made. The aim of this paper is to apply flatness principle using polynomial matrices for linear fractional MIMO systems with a robust path tracking.

Mots clés: Flatness; path planning; fractional differentiation; LTI; pseudo-state-space representation; fractional MIMO systems; control

Domaines: Automatique / Robotique

Stephane Victor, Pierre Melchior, Dominique Nelson Gruel, Alain Oustaloup. Flatness control for linear fractional {MIMO} systems: thermal application. 3rd IFAC Workshop on Fractional Differentiation and Its Applications (FDA'08), Nov 2008, Ankara, Turkey. pp.1-7. ⟨hal-00978501⟩