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

Abstract

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.