A control-relevant model reduction technique for nonlinear systems

Kwang S. Lee; Yongtae Eom; Jin W. Chung; Jinhoon Choi; Daeryook Yang

doi:10.1016/S0098-1354(00)00465-8

A control-relevant model reduction technique for nonlinear systems

Kwang S. Lee, Yongtae Eom, Jin W. Chung, Jinhoon Choi, Daeryook Yang

Research output: Contribution to journal › Conference article › peer-review

9 Citations (Scopus)

Abstract

A novel control-relevant model reduction technique for nonlinear systems is proposed utilizing the idea of the balanced truncation. Unlike the widely-accepted Karhunen-Loeve method where the state basis for the reduced system is found from the state snapshots, the proposed technique takes into account the input, state, and output information together and provides a near-balanced reduced-order model that approximates the system map instead of the state snapshots. Performance of the technique is demonstrated for a linear system and a non-adiabatic fixed-bed reactor model. (C) 2000 Elsevier Science Ltd.

Original language	English
Pages (from-to)	309-315
Number of pages	7
Journal	Computers and Chemical Engineering
Volume	24
Issue number	2-7
DOIs	https://doi.org/10.1016/S0098-1354(00)00465-8
Publication status	Published - 2000 Jul 15
Event	7th International Symposium on Process Systems Engineering - Keystone, CO, USA Duration: 2000 Jul 16 → 2000 Jul 21

Keywords

Balanced realization
Balanced truncation
Fixed-bed reactor
Karhunen-Loeve decomposition
Model reduction
Nonlinear system
Subspace identification

ASJC Scopus subject areas

General Chemical Engineering
Computer Science Applications

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10.1016/S0098-1354(00)00465-8

Cite this

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title = "A control-relevant model reduction technique for nonlinear systems",

abstract = "A novel control-relevant model reduction technique for nonlinear systems is proposed utilizing the idea of the balanced truncation. Unlike the widely-accepted Karhunen-Loeve method where the state basis for the reduced system is found from the state snapshots, the proposed technique takes into account the input, state, and output information together and provides a near-balanced reduced-order model that approximates the system map instead of the state snapshots. Performance of the technique is demonstrated for a linear system and a non-adiabatic fixed-bed reactor model. (C) 2000 Elsevier Science Ltd.",

keywords = "Balanced realization, Balanced truncation, Fixed-bed reactor, Karhunen-Loeve decomposition, Model reduction, Nonlinear system, Subspace identification",

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pages = "309--315",

journal = "Computers and Chemical Engineering",

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note = "7th International Symposium on Process Systems Engineering ; Conference date: 16-07-2000 Through 21-07-2000",

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TY - JOUR

T1 - A control-relevant model reduction technique for nonlinear systems

AU - Lee, Kwang S.

AU - Eom, Yongtae

AU - Chung, Jin W.

AU - Choi, Jinhoon

AU - Yang, Daeryook

PY - 2000/7/15

Y1 - 2000/7/15

N2 - A novel control-relevant model reduction technique for nonlinear systems is proposed utilizing the idea of the balanced truncation. Unlike the widely-accepted Karhunen-Loeve method where the state basis for the reduced system is found from the state snapshots, the proposed technique takes into account the input, state, and output information together and provides a near-balanced reduced-order model that approximates the system map instead of the state snapshots. Performance of the technique is demonstrated for a linear system and a non-adiabatic fixed-bed reactor model. (C) 2000 Elsevier Science Ltd.

AB - A novel control-relevant model reduction technique for nonlinear systems is proposed utilizing the idea of the balanced truncation. Unlike the widely-accepted Karhunen-Loeve method where the state basis for the reduced system is found from the state snapshots, the proposed technique takes into account the input, state, and output information together and provides a near-balanced reduced-order model that approximates the system map instead of the state snapshots. Performance of the technique is demonstrated for a linear system and a non-adiabatic fixed-bed reactor model. (C) 2000 Elsevier Science Ltd.

KW - Balanced realization

KW - Balanced truncation

KW - Fixed-bed reactor

KW - Karhunen-Loeve decomposition

KW - Model reduction

KW - Nonlinear system

KW - Subspace identification

UR - http://www.scopus.com/inward/record.url?scp=0034660719&partnerID=8YFLogxK

U2 - 10.1016/S0098-1354(00)00465-8

DO - 10.1016/S0098-1354(00)00465-8

M3 - Conference article

AN - SCOPUS:0034660719

SN - 0098-1354

VL - 24

SP - 309

EP - 315

JO - Computers and Chemical Engineering

JF - Computers and Chemical Engineering

IS - 2-7

T2 - 7th International Symposium on Process Systems Engineering

Y2 - 16 July 2000 through 21 July 2000

ER -

A control-relevant model reduction technique for nonlinear systems

Abstract

Keywords

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