Model order reduction for a family of linear systems with application in parametric and uncertain systems / Peter Benner, Sara Grundel

Abstract

Abstract: We present an approach which creates a linear reduced order model whose transfer function interpolates at certain given points and approximates at others. We describe how to create the corresponding state space system and explain how this method is used for the simulation of large scale parametric systems or several realizations of an uncertain system. The interpolation points are typically the H2 optimal interpolations points of one particular system. The behavior of the method is illustrated in some numerical examples.