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A combined time and frequency domain method for model reduction of discrete systems

โœ Scribed by Chyi Hwang; Yen-Ping Shih; Ruey-Yinn Hwang

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
669 KB
Volume
311
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

ABSTFCACK A new combined time and frequency domain method for the model reduction of discrete systems in z-transfer functions is presented. First, the z-transfer functions are transformed into the w-domain by the bilinear transformation, z = (1 f w)/(l -w). Then, four model reduction methods-Routh approximation, Hurwitz polynomial approximation, stability equation, and retaining dominant poles-are used respectively to reduce the order of the denominator polynomials in the w-domain. Least squares estimate is then used to find the optimal coefficients in the numerator polynomials of the reduced models so that the unit step response errors are reduced to a minimum. The advantages of the proposed method are that both frequency domain and time domain characteristics of the original systems can be preserued in the reduced models, and the reduced models are always stable provided the original models are stable.

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