AN OPTIMUM TIME-SCALE FOR DISCRETE LAGUERRE NETWORK

TitleAN OPTIMUM TIME-SCALE FOR DISCRETE LAGUERRE NETWORK
Publication TypeJournal Article
Year of Publication1993
AuthorsFu, Y., and G. A. Dumont
JournalIEEE Transactions on Automatic Control
Volume38
Pagination934-938
Date PublishedJUN
Type of ArticleNote
ISSN0018-9286
Abstract

Any discrete time stable transfer function can be expressed by a discrete time Laguerre series with a chosen time scale. In this note, we will derive an optimum time scale such that an index is minimized. This index ensures the coefficients of higher order Laguerre functions go towards zero quickly. The solution derived requires the knowledge of the impulse response of the discrete plant. Cases of first order plants, second order under-damped plants and plants with multiunit delay are also discussed.

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