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

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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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Lucas, T. N., & Davidson, A. M. (1983). Frequency-domain reduction of linear systems using Schwarz approximation. International Journal of Control, 37(5), 1167-1178. https://doi.org/10.1080/00207178308933038

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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.",

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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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10.1080/00207178308933038