Abstract
An accurate and stability preserving model order reduction method for large scale linear discrete-time systems is presented in this paper. The denominator coefficients of the reduced order model are obtained by least squares matching of time-moment proportional's and Markov parameters of the original system and reduced order model about (z − 1), while the numerator coefficients are determined by minimising the integral square error (ISE) between the unit step responses of the original system and its reduced order approximate. Instead of evaluating ISE from time responses of the system and its approximate, a matrix formula is developed in this paper. Three examples are provided to show the efficacy of the proposed method.
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