In this paper, the reduction method uses the concepts of stability-equation and important poles to find the denominator of the reduced model. Then the numerator of the reduced model is found by complex curve fitting. This method tends to simultaneously guarantee a stable reduced model from a stable
Reduction of Transfer Functions by the Stability-Equation Method
โ Scribed by T.C. Chen; C.Y. Chang; K.W. Han
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 660 KB
- Volume
- 308
- Category
- Article
- ISSN
- 0016-0032
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โฆ Synopsis
A method of model reduction for reducing a high-order transfer function to its low-order models is introduced based upon the stability-equation method. 7'he transfer functions of reduced orders are obtained directly from the pole-zero patterns of the stability-equations of the original transfer function. Comparisons with methods in the current literature are made. Extension of the proposed method to discrete systems is given. Nomenclature Laplace operator operator in W-domain operator in P-domain operator in z-domain transfer function Denominator and numerator of transfer function even and odd parts of FD even and odd parts of FN order of FN order of FD coefficients of F. coefficients of FN poles and zeros reduced polynomial integer reduced transfer function sampling period.
๐ SIMILAR VOLUMES
This paper presents a new method to convert a characteristic equation from the z-domain to the w-domain, which is best suitable for the stability-equation method. Stability criteria applicable to sampled-data control systems with characteristic equations having both real and complex coefj?cients are