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Title: System reduction by Cauer continued-fraction expansion about s=0 and s=a alternately
Contributors: 國立臺灣海洋大學電機工程學系
Date: 1986
Issue Date: 2018-12-06T01:19:08Z
Publisher: Int. J. Systems Sci.,
Abstract: Abstract: A new algorithm to obtain the Cauer continued-fraction expansion (CFE) about the origin and about a general point from the time-moments and weighted time-moments of the impulse response of a linear time-invariant system is presented. Also presented is a systematic approach to deriving a similarity transformation matrix that transforms a general state-space model to a state-space model corresponding to the Cauer CFE about s = 0 and s = a alternately. The transformation matrix enables an approximate relationship to be established to relate the state vector of the original system and that of the reduced model obtained by the CFE about s = 0 and s = a alternately. The step of transformation to phase variable canonical form is thus eliminated.
Relation: 17(11) pp.1567-1587
Appears in Collections:[Department of Electrical Engineering] Periodical Articles

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