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Modelling of linear discrete-time systems using modified cauer continued fraction

✍ Scribed by R. Parthasarathy; K.N. Jayasimha

Publisher: Elsevier Science
Year: 1983
Tongue: English
Weight: 375 KB
Volume: 316
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(83)90031-5

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✦ Synopsis

An algorithm, amenablefor programming on a digital computer, has been presented

for the modelling of linear discrete-time systems, as an alternative to the procedure of Shamash (1). The transformations inherent in the procedure are easily accomplished by the synthetic division technique. With the use of modified Cauer form of continued fraction (MCF), the new method matches a set of both the time-moments and Markov parameters of the system and of the model, as in the procedure of Parthasarathy and Singh (2), giving a better approximation to the system response at all times. A distinct feature of the proposed algorithm compared with the earlier methods of discrete system reduction (l), (2), is that a number of reduced-order models are generated simultaneously; this allows scope for better selection in choosing the right model for system analysis and design.

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