An interpolation approach with stable polynomial interpolants applied to the simultaneous stabilization of a segment of systems

Christophe Fonte (1) , Houda Meddeb (1) , Michel Zasadzinski (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper presents the design of a simultaneous compensator for a segment of systems based on an interpolation method with stable polynomial interpolants. This problem leads to formulate conditions of polynomial divisibility in the case of the simultaneous control as a polynomial interpolation issue. Finally, an algorithm permitting to compute a simultaneous controller stabilizing a segment of systems is given.

Mots clés: Stability of linear systems; Uncertain systems; Computational methods

Domaines: Automatique / Robotique

Christophe Fonte, Houda Meddeb, Michel Zasadzinski. An interpolation approach with stable polynomial interpolants applied to the simultaneous stabilization of a segment of systems. 53rd Conference on decision and Control, CDC 2014, Dec 2014, Los Angeles, United States. ⟨hal-01080257⟩