Model reduction of discrete systems via discrete Chebyshev polynomials

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Abstract
This paper discusses the application of discrete Chebyshev polynomial expansion to reduce the order of a linear time-invariant discrete system described by 2-transfer function. Two approaches are used to obtain the reduced models. One uses discrete Chebyshev spectrum matching to determine both the coefficients of the denominator and numerator of the reduced model. The other uses stable reduction methods to determine the coefficients of the denominator and discrete Chebyshev spectrum matching to determine the coefficients of the numerator. The latter has the advantage that the reduced model is stable provided the original model is stable.

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