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

20 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

Keywords

Linear systems

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10.1080/00207178308933038

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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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T1 - Frequency-domain reduction of linear systems using Schwarz approximation

AU - Lucas, T. Nigel

AU - Davidson, A. M.

PY - 1983

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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.

U2 - 10.1080/00207178308933038

DO - 10.1080/00207178308933038

M3 - Article

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VL - 37

SP - 1167

EP - 1178

JO - International Journal of Control

JF - International Journal of Control

IS - 5

ER -

Frequency-domain reduction of linear systems using Schwarz approximation

Abstract

Keywords

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