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A Black-Box method for parametric model order reduction based on matrix interpolation with application to simulation and control

  • Institute of Automatic Control, Technische Universität München, Boltzmannstraße 15, 85748 Garching, Germany

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Published/Copyright: September 13, 2016
at - Automatisierungstechnik
From the journal at - Automatisierungstechnik Volume 64 Issue 9

Abstract

This thesis deals with model order reduction of parameter-dependent systems based on interpolation of locally reduced system matrices. A Black-Box method is proposed that automatically determines the optimal design parameters and delivers a reduced system with desired accuracy. In addition, the method is extended to stability preservation and interpolation for high-dimensional parameter spaces.

Zusammenfassung

Die Dissertation befasst sich mit der Reduktion parameterabhängiger Systeme basierend auf der Interpolation lokal reduzierter Systemmatrizen. Es wird eine Black-Box Methode vorgestellt, welche automatisiert die optimalen Entwurfsparameter bestimmt und ein reduziertes Modell mit gewünschter Genauigkeit liefert. Des Weiteren wird die Methode um Stabilitätserhaltung sowie um Interpolation für mehrdimensionale Parameterräume erweitert.

Keywords: Parametric model order reduction; matrix interpolation; Black-Box method; stability preservation; controller design
Schlagwörter: Parametrische Modellordnungsreduktion; Matrixinterpolation; Black-Box Methode; Stabilitätserhaltung; Reglerentwurf

Funding statement: Deutsche Forschungsgemeinschaft, http://dx.doi.org/10.13039/501100001659, Lo 408/17-1 (Parametrische Ordnungsreduktion durch Interpolation).

About the author

Matthias Geuß

Institute of Automatic Control, Technische Universität München, Boltzmannstraße 15, 85748 Garching, Germany

Received: 2016-7-23
Accepted: 2016-7-28
Published Online: 2016-9-13
Published in Print: 2016-9-28

©2016 Walter de Gruyter Berlin/Boston

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  16. A Black-Box method for parametric model order reduction based on matrix interpolation with application to simulation and control
https://doi.org/10.1515/auto-2016-0093
Keywords for this article
Parametric model order reduction; matrix interpolation; Black-Box method; stability preservation; controller design

Articles in the same Issue

  1. Frontmatter
  2. Editorial
  3. Industrial Internet of Things supporting Factory Automation
  4. Übersicht
  5. IoT business models in an industrial context
  6. The Open Geospatial Consortium and Industrie 4.0
  7. Methoden
  8. Design of an ecosystem platform for manufacturing operations using loosely defined standards
  9. A common core for information modeling in the Industrial Internet of Things
  10. Semantic interoperability in IoT-based automation infrastructures
  11. CPS-based fault-tolerance method for smart factories
  12. IIoT in vehicle assembly
  13. Anwendungen
  14. Software-based smart factory networking
  15. Dissertation
  16. A Black-Box method for parametric model order reduction based on matrix interpolation with application to simulation and control
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