MATRIX FORMULAS FOR OPEN AND CLOSED-LOOP APPROXIMATE MODEL-MATCHING IN FREQUENCY-DOMAIN

This paper concerns model matching of SISO systems in the frequency domain. The matching uses Padi: coefficients and Markov parameters of a reference model of which the final system will be an approximation. Because the matching is approximate, constraints on the structures of both the reference model and the final system can be somewhat relaxed. In this paper an easy-to-implement matrix formulation is derived for both open- and closed-loop matching problems. Some results concerning pole-zero cancellations are presented, along with a number of numerical examples provided to illustrate the usefulness and simplicity of the approach.