Accuracy and Efficiency Enhancement in Nonlinear Model Order Reduction

Hamid Reza Shaker, Mahmoud Samavat

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

A new method for model order reduction for an important class of non-linear dynamical systems is proposed. The reduction technique is based on the frequency balanced reduction method within a desired frequency band and a developed Trajectory Piecewise-Linear (TPWL) model order reduction approach. Both the methods are recently developed techniques and they can increase the accuracy and efficiency of the reduction method. The computational load and memory are significantly reduced when the method is used in the hybrid reduction method. The accuracy enhanced hybrid method is applicable to very large scale non-linear models efficiently and accurately. The numerical results show the accuracy and efficiency enhancement of the proposed method.
Original languageEnglish
JournalInternational Journal of Modelling, Identification and Control
Volume2
Issue number2
Pages (from-to)147-153
ISSN1746-6172
Publication statusPublished - 2007
Externally publishedYes

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Model Order Reduction
Nonlinear Model
Enhancement
Reduction Method
Hybrid Method
Nonlinear Dynamical Systems
Piecewise Linear
Linear Model
Nonlinear dynamical systems
Trajectory
Numerical Results
Frequency bands
Trajectories
Data storage equipment

Cite this

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title = "Accuracy and Efficiency Enhancement in Nonlinear Model Order Reduction",
abstract = "A new method for model order reduction for an important class of non-linear dynamical systems is proposed. The reduction technique is based on the frequency balanced reduction method within a desired frequency band and a developed Trajectory Piecewise-Linear (TPWL) model order reduction approach. Both the methods are recently developed techniques and they can increase the accuracy and efficiency of the reduction method. The computational load and memory are significantly reduced when the method is used in the hybrid reduction method. The accuracy enhanced hybrid method is applicable to very large scale non-linear models efficiently and accurately. The numerical results show the accuracy and efficiency enhancement of the proposed method.",
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Accuracy and Efficiency Enhancement in Nonlinear Model Order Reduction. / Shaker, Hamid Reza; Samavat, Mahmoud.

In: International Journal of Modelling, Identification and Control, Vol. 2, No. 2, 2007, p. 147-153.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Accuracy and Efficiency Enhancement in Nonlinear Model Order Reduction

AU - Shaker, Hamid Reza

AU - Samavat, Mahmoud

PY - 2007

Y1 - 2007

N2 - A new method for model order reduction for an important class of non-linear dynamical systems is proposed. The reduction technique is based on the frequency balanced reduction method within a desired frequency band and a developed Trajectory Piecewise-Linear (TPWL) model order reduction approach. Both the methods are recently developed techniques and they can increase the accuracy and efficiency of the reduction method. The computational load and memory are significantly reduced when the method is used in the hybrid reduction method. The accuracy enhanced hybrid method is applicable to very large scale non-linear models efficiently and accurately. The numerical results show the accuracy and efficiency enhancement of the proposed method.

AB - A new method for model order reduction for an important class of non-linear dynamical systems is proposed. The reduction technique is based on the frequency balanced reduction method within a desired frequency band and a developed Trajectory Piecewise-Linear (TPWL) model order reduction approach. Both the methods are recently developed techniques and they can increase the accuracy and efficiency of the reduction method. The computational load and memory are significantly reduced when the method is used in the hybrid reduction method. The accuracy enhanced hybrid method is applicable to very large scale non-linear models efficiently and accurately. The numerical results show the accuracy and efficiency enhancement of the proposed method.

M3 - Journal article

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SP - 147

EP - 153

JO - International Journal of Modelling, Identification and Control

JF - International Journal of Modelling, Identification and Control

SN - 1746-6172

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