Model Matching by Dynamic State Feedback

Abstract

Model matching is a prototype design problem that is useful in solving many problems of interest in systems and control theory. A solution is usually in the form of a dynamic compensator. It is often convenient to realize the compensator via state feedback applied to the given system. While realizability conditions are well known, least order solutions, which require as few integrators as possible, pose a difficult problem. A direct solution is proposed that avoids any restrictive hypotheses concerning system and compensator. The synthesis procedure is built on static state feedback solution applied to an extended system.