Hankel model reduction for descriptor systems

X. Cao, M.B. Saltik, S. Weiland

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7 Citations (Scopus)
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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
Number of pages6
ISBN (Electronic)978-1-4799-7886-1
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


Conference54th IEEE Conference on Decision and Control (CDC 2015)
Abbreviated titleCDC 2015
Internet address


  • model reduction
  • Descriptor systems


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