Padé methods of Hurwitz polynomial approximation with application to linear system reduction
作者:
R. K. APPIAH,
期刊:
International Journal of Control
(Taylor Available online 1979)
卷期:
Volume 29,
issue 1
页码: 39-48
ISSN:0020-7179
年代: 1979
DOI:10.1080/00207177908922678
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Two Padé methods are discussed for constructing low-degree Hurwitz polynomials from a given high-degree Hurwitz polynomial to approximate its argument. Using the Hurwitz polynomial approximants as characteristic polynomials, the numerator dynamics of reduced-order (matrix) transfer-function models are then easily determined by partial Padé approximation of a given large-order model. Stability of such reduced models is always assured. By suitable linear fractional transformations the methods are made applicable to discrete-time systems. The methods are compared in simulation examples for both continuous and discrete-time systems.
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