Frequency-domain generelaized singular peruturbation method for relative error model order reduction

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

A new mixed method for relative error model order reduction is proposed. In the proposed method the frequency domain balanced stochastic truncation method is improved by applying the generalized singular perturbation method to the frequency domain balanced system in the reduction procedure. The frequency domain balanced stochastic truncation method, which was proposed in [15] and [17] by the author, is based on two recently developed methods, namely frequency domain balanced truncation within a desired frequency bound and inner-outer factorization techniques. The proposed method in this paper is a carry over of the frequency-domain balanced stochastic truncation and is of interest for practical model order reduction because in this context it shows to keep the accuracy of the approximation as high as possible without sacrificing the computational efficiency and important system properties. It is shown that some important properties of the frequency domain stochastic balanced reduction technique are extended to the proposed reduction method by using the concept and properties of the reciprocal systems. Numerical results show the accuracy, simplicity and flexibility enhancement of the method.

Original languageEnglish
JournalJournal of Control Theory and Applications
Volume7
Issue number1
Pages (from-to)57-62
Number of pages6
ISSN1672-6340
DOIs
Publication statusPublished - 1. Feb 2009
Externally publishedYes

Keywords

  • Balanced realization
  • Frequency-domain Grammian
  • Large-scale systems
  • Model reduction

Cite this

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title = "Frequency-domain generelaized singular peruturbation method for relative error model order reduction",
abstract = "A new mixed method for relative error model order reduction is proposed. In the proposed method the frequency domain balanced stochastic truncation method is improved by applying the generalized singular perturbation method to the frequency domain balanced system in the reduction procedure. The frequency domain balanced stochastic truncation method, which was proposed in [15] and [17] by the author, is based on two recently developed methods, namely frequency domain balanced truncation within a desired frequency bound and inner-outer factorization techniques. The proposed method in this paper is a carry over of the frequency-domain balanced stochastic truncation and is of interest for practical model order reduction because in this context it shows to keep the accuracy of the approximation as high as possible without sacrificing the computational efficiency and important system properties. It is shown that some important properties of the frequency domain stochastic balanced reduction technique are extended to the proposed reduction method by using the concept and properties of the reciprocal systems. Numerical results show the accuracy, simplicity and flexibility enhancement of the method.",
keywords = "Balanced realization, Frequency-domain Grammian, Large-scale systems, Model reduction",
author = "Shaker, {Hamid Reza}",
year = "2009",
month = "2",
day = "1",
doi = "10.1007/s11768-009-7155-x",
language = "English",
volume = "7",
pages = "57--62",
journal = "Journal of Control Theory and Applications",
issn = "1672-6340",
publisher = "Huanan Ligong Daxue",
number = "1",

}

Frequency-domain generelaized singular peruturbation method for relative error model order reduction. / Shaker, Hamid Reza.

In: Journal of Control Theory and Applications, Vol. 7, No. 1, 01.02.2009, p. 57-62.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Frequency-domain generelaized singular peruturbation method for relative error model order reduction

AU - Shaker, Hamid Reza

PY - 2009/2/1

Y1 - 2009/2/1

N2 - A new mixed method for relative error model order reduction is proposed. In the proposed method the frequency domain balanced stochastic truncation method is improved by applying the generalized singular perturbation method to the frequency domain balanced system in the reduction procedure. The frequency domain balanced stochastic truncation method, which was proposed in [15] and [17] by the author, is based on two recently developed methods, namely frequency domain balanced truncation within a desired frequency bound and inner-outer factorization techniques. The proposed method in this paper is a carry over of the frequency-domain balanced stochastic truncation and is of interest for practical model order reduction because in this context it shows to keep the accuracy of the approximation as high as possible without sacrificing the computational efficiency and important system properties. It is shown that some important properties of the frequency domain stochastic balanced reduction technique are extended to the proposed reduction method by using the concept and properties of the reciprocal systems. Numerical results show the accuracy, simplicity and flexibility enhancement of the method.

AB - A new mixed method for relative error model order reduction is proposed. In the proposed method the frequency domain balanced stochastic truncation method is improved by applying the generalized singular perturbation method to the frequency domain balanced system in the reduction procedure. The frequency domain balanced stochastic truncation method, which was proposed in [15] and [17] by the author, is based on two recently developed methods, namely frequency domain balanced truncation within a desired frequency bound and inner-outer factorization techniques. The proposed method in this paper is a carry over of the frequency-domain balanced stochastic truncation and is of interest for practical model order reduction because in this context it shows to keep the accuracy of the approximation as high as possible without sacrificing the computational efficiency and important system properties. It is shown that some important properties of the frequency domain stochastic balanced reduction technique are extended to the proposed reduction method by using the concept and properties of the reciprocal systems. Numerical results show the accuracy, simplicity and flexibility enhancement of the method.

KW - Balanced realization

KW - Frequency-domain Grammian

KW - Large-scale systems

KW - Model reduction

U2 - 10.1007/s11768-009-7155-x

DO - 10.1007/s11768-009-7155-x

M3 - Journal article

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EP - 62

JO - Journal of Control Theory and Applications

JF - Journal of Control Theory and Applications

SN - 1672-6340

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