Multiplicative approximation of transfer functions with frequency weighting

Sang Woo Kim; Brian D.O. Anderson; Anton G. Madievski

doi:10.1016/0167-6911(94)00075-7

Multiplicative approximation of transfer functions with frequency weighting

Sang Woo Kim, Brian D.O. Anderson, Anton G. Madievski^*

^*Corresponding author for this work

School of Engineering

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

6 Citations (Scopus)

Abstract

An algorithm for transfer function order reduction is presented, which generalizes the balanced stochastic truncation algorithm to allow for input weighting. An example illustrates use of the algorithm to secure smaller dB error in selected frequency bands through the introduction of the weighting.

Original language	English
Pages (from-to)	199-204
Number of pages	6
Journal	Systems and Control Letters
Volume	25
Issue number	3
DOIs	https://doi.org/10.1016/0167-6911(94)00075-7
Publication status	Published - 9 Jun 1995

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@article{ede03982d9c943629c76d7fad9ea7387,

title = "Multiplicative approximation of transfer functions with frequency weighting",

abstract = "An algorithm for transfer function order reduction is presented, which generalizes the balanced stochastic truncation algorithm to allow for input weighting. An example illustrates use of the algorithm to secure smaller dB error in selected frequency bands through the introduction of the weighting.",

keywords = "Balanced stochastic truncation, Frequency weighting, Lyapunov equation, Model reduction, Multiplicative error, Riccati equation",

author = "Kim, \{Sang Woo\} and Anderson, \{Brian D.O.\} and Madievski, \{Anton G.\}",

year = "1995",

month = jun,

day = "9",

doi = "10.1016/0167-6911(94)00075-7",

language = "English",

volume = "25",

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journal = "Systems and Control Letters",

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publisher = "Elsevier B.V.",

number = "3",

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T1 - Multiplicative approximation of transfer functions with frequency weighting

AU - Kim, Sang Woo

AU - Anderson, Brian D.O.

AU - Madievski, Anton G.

PY - 1995/6/9

Y1 - 1995/6/9

N2 - An algorithm for transfer function order reduction is presented, which generalizes the balanced stochastic truncation algorithm to allow for input weighting. An example illustrates use of the algorithm to secure smaller dB error in selected frequency bands through the introduction of the weighting.

AB - An algorithm for transfer function order reduction is presented, which generalizes the balanced stochastic truncation algorithm to allow for input weighting. An example illustrates use of the algorithm to secure smaller dB error in selected frequency bands through the introduction of the weighting.

KW - Balanced stochastic truncation

KW - Frequency weighting

KW - Lyapunov equation

KW - Model reduction

KW - Multiplicative error

KW - Riccati equation

UR - https://www.scopus.com/pages/publications/0029640099

U2 - 10.1016/0167-6911(94)00075-7

DO - 10.1016/0167-6911(94)00075-7

M3 - Article

AN - SCOPUS:0029640099

SN - 0167-6911

VL - 25

SP - 199

EP - 204

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 3

ER -

Multiplicative approximation of transfer functions with frequency weighting

Abstract

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