An Analysis of the Pole-Zero Cancellations in $H^\infty $-Optimal Control Problems of the First Kind

Abstract

The aim of this paper is to study the pole-zero cancellations which occur in a class of H∞-optimal control problems which may be embedded in certain generalized regulator configuration. A general bound on the McMillan degree of all controllers which are stabilizing and lead to a closed loop which satisfies conditions on the transfer function is derived.published_or_final_versio