Frequency-domain reduction of linear systems using Schwarz approximation

T. Nigel Lucas; A. M. Davidson

doi:10.1080/00207178308933038

Frequency-domain reduction of linear systems using Schwarz approximation

T. Nigel Lucas, A. M. Davidson

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

A frequency domain approach for reducing linear, time-invariant systems is presented which produces stable approximations of stable systems. The method is based upon the Schwarz canonical form and is shown to have a continued-fraction representation. A link between this method and the popular Routh approximation is also given. Further, the Schwarz approximation is combined with a moments-matching technique to improve steady-state responses to step and polynomial inputs. Examples are given to illustrate the methods.

Original language	English
Pages (from-to)	1167-1178
Number of pages	12
Journal	International Journal of Control
Volume	37
Issue number	5
DOIs	https://doi.org/10.1080/00207178308933038
Publication status	Published - 1983

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title = "Frequency-domain reduction of linear systems using Schwarz approximation",

abstract = "A frequency domain approach for reducing linear, time-invariant systems is presented which produces stable approximations of stable systems. The method is based upon the Schwarz canonical form and is shown to have a continued-fraction representation. A link between this method and the popular Routh approximation is also given. Further, the Schwarz approximation is combined with a moments-matching technique to improve steady-state responses to step and polynomial inputs. Examples are given to illustrate the methods.",

author = "Lucas, {T. Nigel} and Davidson, {A. M.}",

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AU - Davidson, A. M.

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AB - A frequency domain approach for reducing linear, time-invariant systems is presented which produces stable approximations of stable systems. The method is based upon the Schwarz canonical form and is shown to have a continued-fraction representation. A link between this method and the popular Routh approximation is also given. Further, the Schwarz approximation is combined with a moments-matching technique to improve steady-state responses to step and polynomial inputs. Examples are given to illustrate the methods.

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DO - 10.1080/00207178308933038

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JO - International Journal of Control

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