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

Christophe Fonte, Houda Meddeb, Michel Zasadzinski
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. Index
more » ... s-simultaneous stabilization, polynomial interpolation , interlacing property, segment of systems. Notations : The degree of a real polynomial A is denoted δ(A). The set of Hurwitz polynomials is denoted H.