Model Reduction of Continuous Systems by Modified Routh Array and Pade Approximation Technique

Abstract

Model reduction for reducing a high-order transfer function to one of low order is based on a combination of Pade approximation to calculate the numerator coefficients and modified Routh array to calculate the denominator coefficients of reduced-order models. The purpose of this paper is to show the combination of Pade and Routh methods satisfied both the transient and steady-state parts of time response for reduced models. Many steps by using a computer algorithm for evaluating the numerator and denominator coefficients of the reduced model are developed. It is shown that the time response of the proposed model more closely follows the original system response than those of the other models. Several examples are used to illustrate the procedure and to test the viability of such an approach to model reduction.