Variation of the Balanced POD Algorithm for Model Reduction of Linear Systems

John R. Singler

doi:10.1109/acc.2013.6579886

Variation of the Balanced POD Algorithm for Model Reduction of Linear Systems

John R. Singler

Mathematics and Statistics

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

Abstract

We present a variation on an existing model reduction algorithm for linear systems based on balanced proper orthogonal decomposition (POD). In contrast to many computational approaches to balanced truncation, the algorithm variation approximates the reduced order model directly without first transforming the linear system. The algorithm is applicable to large-scale finite dimensional systems and a class of infinite dimensional systems. The algorithm variation is compared to the original balanced POD algorithm on example partial differential equation systems.

Original language	American English
Pages (from-to)	496-501
Number of pages	6
Journal	American Control Conference
DOIs	https://doi.org/10.1109/acc.2013.6579886
State	Published - Jan 1 2013
Event	2013 1st American Control Conference, ACC 2013 - Washington, DC, United States Duration: Jun 17 2013 → Jun 19 2013

ASJC Scopus Subject Areas

Electrical and Electronic Engineering

Keywords

linear systems
partial differential equations
reduced order systems

Disciplines

Mathematics
Statistics and Probability

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10.1109/acc.2013.6579886

Cite this

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title = "Variation of the Balanced POD Algorithm for Model Reduction of Linear Systems",

abstract = " We present a variation on an existing model reduction algorithm for linear systems based on balanced proper orthogonal decomposition (POD). In contrast to many computational approaches to balanced truncation, the algorithm variation approximates the reduced order model directly without first transforming the linear system. The algorithm is applicable to large-scale finite dimensional systems and a class of infinite dimensional systems. The algorithm variation is compared to the original balanced POD algorithm on example partial differential equation systems.",

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AB - We present a variation on an existing model reduction algorithm for linear systems based on balanced proper orthogonal decomposition (POD). In contrast to many computational approaches to balanced truncation, the algorithm variation approximates the reduced order model directly without first transforming the linear system. The algorithm is applicable to large-scale finite dimensional systems and a class of infinite dimensional systems. The algorithm variation is compared to the original balanced POD algorithm on example partial differential equation systems.

KW - linear systems

KW - partial differential equations

KW - reduced order systems

UR - https://scholarsmine.mst.edu/math_stat_facwork/574

U2 - 10.1109/acc.2013.6579886

DO - 10.1109/acc.2013.6579886

M3 - Article

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EP - 501

JO - American Control Conference

JF - American Control Conference

T2 - 2013 1st American Control Conference, ACC 2013

Y2 - 17 June 2013 through 19 June 2013

ER -

Variation of the Balanced POD Algorithm for Model Reduction of Linear Systems

Abstract

ASJC Scopus Subject Areas

Keywords

Disciplines

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