Identification of linear systems: a graph point of view

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

doi:10.23919/acc.1992.4792077

Identification of linear systems: a graph point of view

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

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	Proceedings of the American Control Conference
Publisher	Publ by American Automatic Control Council
Pages	307-312
Number of pages	6
ISBN (Print)	0780302109, 9780780302105
DOIs	https://doi.org/10.23919/acc.1992.4792077
State	Published - 1992
Event	Proceedings of the 1992 American Control Conference - Chicago, IL, USA Duration: Jun 24 1992 → Jun 26 1992

Publication series

Name	Proceedings of the American Control Conference
Volume	1
ISSN (Print)	0743-1619

Other

Other	Proceedings of the 1992 American Control Conference
City	Chicago, IL, USA
Period	6/24/92 → 6/26/92

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10.23919/acc.1992.4792077

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Identification of linear systems: a graph point of view. / Georgiou, Tryphon T.; Shankwitz, Craig R.; Smith, Malcolm C.
Proceedings of the American Control Conference. Publ by American Automatic Control Council, 1992. p. 307-312 (Proceedings of the American Control Conference; Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Georgiou, TT, Shankwitz, CR & Smith, MC 1992, Identification of linear systems: a graph point of view. in Proceedings of the American Control Conference. Proceedings of the American Control Conference, vol. 1, Publ by American Automatic Control Council, pp. 307-312, Proceedings of the 1992 American Control Conference, Chicago, IL, USA, 6/24/92. https://doi.org/10.23919/acc.1992.4792077

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N2 - 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.

AB - 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.

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ER -

Identification of linear systems: a graph point of view

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