INTEGRAL MANIFOLD AS A TOOL FOR REDUCED-ORDER MODELING OF NONLINEAR SYSTEMS: A CASE STUDY.

P. V. Kokotovic, Peter W Sauer

Research output: Contribution to journalConference article

Abstract

A systematic use of the concepts of integral manifolds and averaging has led through several steps to a reduced-order model. The model order reduction is geometrically interpreted as a restriction of the model validity to a lower dimensional manifold. Additional terms correct for off-manifold initial conditions. Although presented in a case study of a synchronous machine, this modeling methodology is applicable to a wide class of nonlinear systems.

Original languageEnglish (US)
Pages (from-to)908-911
Number of pages4
JournalProceedings - IEEE International Symposium on Circuits and Systems
StatePublished - Jan 1 1986

Fingerprint

Nonlinear systems

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

@article{bf820ad0a37d4dcd8d9725c16a38c12e,
title = "INTEGRAL MANIFOLD AS A TOOL FOR REDUCED-ORDER MODELING OF NONLINEAR SYSTEMS: A CASE STUDY.",
abstract = "A systematic use of the concepts of integral manifolds and averaging has led through several steps to a reduced-order model. The model order reduction is geometrically interpreted as a restriction of the model validity to a lower dimensional manifold. Additional terms correct for off-manifold initial conditions. Although presented in a case study of a synchronous machine, this modeling methodology is applicable to a wide class of nonlinear systems.",
author = "Kokotovic, {P. V.} and Sauer, {Peter W}",
year = "1986",
month = "1",
day = "1",
language = "English (US)",
pages = "908--911",
journal = "Proceedings - IEEE International Symposium on Circuits and Systems",
issn = "0271-4310",
publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

TY - JOUR

T1 - INTEGRAL MANIFOLD AS A TOOL FOR REDUCED-ORDER MODELING OF NONLINEAR SYSTEMS

T2 - A CASE STUDY.

AU - Kokotovic, P. V.

AU - Sauer, Peter W

PY - 1986/1/1

Y1 - 1986/1/1

N2 - A systematic use of the concepts of integral manifolds and averaging has led through several steps to a reduced-order model. The model order reduction is geometrically interpreted as a restriction of the model validity to a lower dimensional manifold. Additional terms correct for off-manifold initial conditions. Although presented in a case study of a synchronous machine, this modeling methodology is applicable to a wide class of nonlinear systems.

AB - A systematic use of the concepts of integral manifolds and averaging has led through several steps to a reduced-order model. The model order reduction is geometrically interpreted as a restriction of the model validity to a lower dimensional manifold. Additional terms correct for off-manifold initial conditions. Although presented in a case study of a synchronous machine, this modeling methodology is applicable to a wide class of nonlinear systems.

UR - http://www.scopus.com/inward/record.url?scp=0022583280&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022583280&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0022583280

SP - 908

EP - 911

JO - Proceedings - IEEE International Symposium on Circuits and Systems

JF - Proceedings - IEEE International Symposium on Circuits and Systems

SN - 0271-4310

ER -