Hankel model reduction for descriptor systems

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Abstract

This paper focuses on model reduction of dynamical systems described by differential-algebraic equations. After transforming the system to the Weierstrass canonical form, the system is decomposed as a slow subsystem and a fast subsystem, which are then combined in parallel interconnection. Based on the solutions of these two subsystems, a new definition of the Hankel operator is given. Then, the conventional Hankel norm model reduction method is applied to the slow subsystem. Furthermore, we develop a new realization method to minimize the order of the fast subsystem while the DAE index is preserved. A numerical example is tested to show the approximation accuracy.
Original languageEnglish
Title of host publication2015 54th IEEE Conference on Decision and Control (CDC)
PublisherInstitute of Electrical and Electronics Engineers
Pages4668-4673
Number of pages6
ISBN (Electronic)978-1-4799-7886-1
DOIs
Publication statusPublished - Dec 2015
Event54th IEEE Conference on Decision and Control (CDC 2015) - "Osaka International Convention Center", Osaka, Japan
Duration: 15 Dec 201518 Dec 2015
Conference number: 54
http://www.cdc2015.ctrl.titech.ac.jp/

Conference

Conference54th IEEE Conference on Decision and Control (CDC 2015)
Abbreviated titleCDC 2015
CountryJapan
CityOsaka
Period15/12/1518/12/15
Internet address

Keywords

  • model reduction
  • Descriptor systems

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