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at - Automatisierungstechnik

Methoden und Anwendungen der Steuerungs-, Regelungs- und Informationstechnik

[AT - Automation Technology: Methods and Applications of Control, Regulation, and Information Technology
]

Editor-in-Chief: Jumar, Ulrich

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IMPACT FACTOR 2017: 0.503

CiteScore 2017: 0.47

SCImago Journal Rank (SJR) 2017: 0.212
Source Normalized Impact per Paper (SNIP) 2017: 0.546

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2196-677X
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Volume 57, Issue 8

Issues

Modellreduktion für parametrisierte Systeme durch balanciertes Abschneiden und Interpolation
Model Reduction for Parametric Systems Using Balanced Truncation and Interpolation

Ulrike Baur / Peter Benner
Published Online: 2009-09-25 | DOI: https://doi.org/10.1524/auto.2009.0787

Zusammenfassung

Der Beitrag stellt einen neuen Ansatz zur Parameter-erhaltenden Modellreduktion parametrisierter, linearer Systeme vor. Das Verfahren ist eine Kopplung des balancierten Abschneidens mit Interpolation, sodass Fehlerabschätzungen für die Qualität des reduzierten Systems ableitbar sind. Durch die Verwendung dünner Gitter zur Diskretisierung des Parameterraumes kann das Verfahren auch auf Systeme mit mehreren Parametern angewendet werden.

Abstract

This paper presents a parameter-preserving approach for model order reduction of parameterized, linear systems. The proposed method is a coupling of balanced truncation with interpolation. Thus, error estimates for the quality of the reduced-order system can be derived. The method can be applied to systems containing several parameters by using sparse grids for the discretization of the parameter space.

Keywords: Parametrische Modellreduktion; balanciertes Abschneiden; Interpolation; dünne Gitter

About the article

* Correspondence address: TU Chemnitz, Fakultät für Mathematik, 09107 Chemnitz, Deutschland,


Published Online: 2009-09-25

Published in Print: 2009-08-01


Citation Information: at - Automatisierungstechnik Methoden und Anwendungen der Steuerungs-, Regelungs- und Informationstechnik, Volume 57, Issue 8, Pages 411–419, ISSN (Print) 0178-2312, DOI: https://doi.org/10.1524/auto.2009.0787.

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