Abstract
A combination of bilinear transformation, the Routh stability criterion and the integral squared error (ISE) criterion is proposed for the linear model reduction of high-order discrete-time systems. The approach consists of a four-step computational scheme. In the first three steps, by the use of the bilinear transformation and Routh approximation methods, the denominator of the reduced model is obtained. In the fourth step, a recursive algorithm is used to minimize the variance of the spectral density between the original and the reduced model to obtain optimal coefficients for the numerator of the reduced model.
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