Design of simultaneous compensators for a segment of systems by using an interpolation approach with stable polynomial interpolants.

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

1 CRAN - Centre de Recherche en Automatique de Nancy

In this paper, we present 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. The feasibility and infeasibility of the approach is also analyzed. Finally, an algorithm permitting to compute a simultaneous controller stabilizing a segment of systems is given.

Mots clés: simultaneous stabilization; polynomial interpolation; interlacing property; segment of systems

Domaines: Automatique / Robotique

Christophe Fonte, Houda Meddeb, Michel Zasadzinski. Design of simultaneous compensators for a segment of systems by using an interpolation approach with stable polynomial interpolants.. 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014, Jul 2014, Groninguen, Netherlands. pp.CDROM. ⟨hal-01017624⟩