Least Order Solution of the Exact Model Matching Problem in SISO Systems

Abstract

A stable least order solution of the exact model matching problem in linear systems with a single input, a single controlled output and a measurement multi-output is presented. The solution is derived by a transformation of a compensator whose input is the state vector into a compensator whose input is the measurement multi-output of the given system. A design procedure which provides a dynamic compensator in a form suitable for direct realization and an example which illustrates the applicability of this theory are given.