Identification of linear systems: a graph point of view

Tryphon T. Georgiou, Craig R. Shankwitz, Malcolm C. Smith

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Scopus citations

Abstract

This paper presents a methodology for model identification of SISO discrete-time linear systems. The approach relies on standard spectral estimation techniques which are then applied to the identification of a symbol for the graph. More specifically, the power spectrum of the stochastic process, which consists of both the inputs and the outputs of a given plant, is estimated and a symbol for the plant is identified as the inner part of a left canonical spectral factor of the spectrum. Bounds, in the L sense, on the uncertainty in estimating power spectra are related to the error in identifying the plant which is measured in the L2-gap and the ν-gap.

Original languageEnglish (US)
Title of host publicationProceedings of the American Control Conference
PublisherPubl by American Automatic Control Council
Pages307-312
Number of pages6
ISBN (Print)0780302109, 9780780302105
DOIs
StatePublished - 1992
EventProceedings of the 1992 American Control Conference - Chicago, IL, USA
Duration: Jun 24 1992Jun 26 1992

Publication series

NameProceedings of the American Control Conference
Volume1
ISSN (Print)0743-1619

Other

OtherProceedings of the 1992 American Control Conference
CityChicago, IL, USA
Period6/24/926/26/92

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