Frequency-Weighted Model Reduction Method with Error Bounds for 2-D Separable Denominator Discrete Systems

A. Ghafoor; Jing Wang; Victor Sreeram

doi:10.1109/.2005.1467070

Frequency-Weighted Model Reduction Method with Error Bounds for 2-D Separable Denominator Discrete Systems

A. Ghafoor, Jing Wang, Victor Sreeram

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

14 Citations (Scopus)

Abstract

Frequency weighted model reduction scheme for two-dimensional(2-D) separable denominator discrete time systems is presented. The methodyields the stable reduced order models for stable separable denominator originalsystems. The method is based on one-dimensional (1-D) balanced truncation.It is easily extendable to singular perturbation and optimal Hankel norm basedapproximations. The bound on the approximation error is also derived.

Original language	English
Pages (from-to)	105-119
Journal	International Journal of Information and Systems Sciences
Volume	1
Issue number	2
DOIs	https://doi.org/10.1109/.2005.1467070
Publication status	Published - 2005

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http://www.math.ualberta.ca/ijiss/

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title = "Frequency-Weighted Model Reduction Method with Error Bounds for 2-D Separable Denominator Discrete Systems",

abstract = "Frequency weighted model reduction scheme for two-dimensional(2-D) separable denominator discrete time systems is presented. The methodyields the stable reduced order models for stable separable denominator originalsystems. The method is based on one-dimensional (1-D) balanced truncation.It is easily extendable to singular perturbation and optimal Hankel norm basedapproximations. The bound on the approximation error is also derived.",

author = "A. Ghafoor and Jing Wang and Victor Sreeram",

year = "2005",

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T1 - Frequency-Weighted Model Reduction Method with Error Bounds for 2-D Separable Denominator Discrete Systems

AU - Ghafoor, A.

AU - Wang, Jing

AU - Sreeram, Victor

PY - 2005

Y1 - 2005

N2 - Frequency weighted model reduction scheme for two-dimensional(2-D) separable denominator discrete time systems is presented. The methodyields the stable reduced order models for stable separable denominator originalsystems. The method is based on one-dimensional (1-D) balanced truncation.It is easily extendable to singular perturbation and optimal Hankel norm basedapproximations. The bound on the approximation error is also derived.

AB - Frequency weighted model reduction scheme for two-dimensional(2-D) separable denominator discrete time systems is presented. The methodyields the stable reduced order models for stable separable denominator originalsystems. The method is based on one-dimensional (1-D) balanced truncation.It is easily extendable to singular perturbation and optimal Hankel norm basedapproximations. The bound on the approximation error is also derived.

U2 - 10.1109/.2005.1467070

DO - 10.1109/.2005.1467070

M3 - Article

SN - 1708-296X

VL - 1

SP - 105

EP - 119

JO - International Journal of Information and Systems Sciences

JF - International Journal of Information and Systems Sciences

IS - 2

ER -

Frequency-Weighted Model Reduction Method with Error Bounds for 2-D Separable Denominator Discrete Systems

Abstract

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