Model Reduction via Generalized Frequency Interval Cross Gramian ⁎

Deepak Kumar; Victor Sreeram

doi:10.1016/j.ifacol.2018.05.005

Model Reduction via Generalized Frequency Interval Cross Gramian ^⁎

Deepak Kumar, Victor Sreeram

School of Engineering

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

5 Citations (Scopus)

Abstract

In this paper, a new model reduction technique based on the generalized limited frequency interval cross Gramian is developed for continuous linear time invariant systems. The proposed technique is not only applicable to unstable systems but can also be applied to the systems which contain eigenvalues of opposite polarities and equal magnitude. The standard cross Gramian is generalized for such systems by transforming the system matrix of the original system using a Riccati equation.

Original language	English
Pages (from-to)	25-29
Number of pages	5
Journal	IFAC-PapersOnLine
Volume	51
Issue number	1
DOIs	https://doi.org/10.1016/j.ifacol.2018.05.005
Publication status	Published - 1 Jan 2018

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10.1016/j.ifacol.2018.05.005

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title = "Model Reduction via Generalized Frequency Interval Cross Gramian ⁎",

abstract = "In this paper, a new model reduction technique based on the generalized limited frequency interval cross Gramian is developed for continuous linear time invariant systems. The proposed technique is not only applicable to unstable systems but can also be applied to the systems which contain eigenvalues of opposite polarities and equal magnitude. The standard cross Gramian is generalized for such systems by transforming the system matrix of the original system using a Riccati equation.",

keywords = "Balanced truncation, Cross Gramian, Frequency interval, Model order reduction, Unstable systems",

author = "Deepak Kumar and Victor Sreeram",

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AU - Sreeram, Victor

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AB - In this paper, a new model reduction technique based on the generalized limited frequency interval cross Gramian is developed for continuous linear time invariant systems. The proposed technique is not only applicable to unstable systems but can also be applied to the systems which contain eigenvalues of opposite polarities and equal magnitude. The standard cross Gramian is generalized for such systems by transforming the system matrix of the original system using a Riccati equation.

KW - Balanced truncation

KW - Cross Gramian

KW - Frequency interval

KW - Model order reduction

KW - Unstable systems

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SP - 25

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JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 1

ER -

Model Reduction via Generalized Frequency Interval Cross Gramian ^⁎

Abstract

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