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Balanced truncation model reduction of second-order systems

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  • Timo Reis
  • Tatjana Stykel

Abstract

In this paper we consider structure-preserving model reduction of second-order systems using a balanced truncation approach. Several sets of singular values are introduced for such systems, which lead to different concepts of balancing and different second-order balanced truncation methods. A comparison of these methods with other second-order balanced truncation techniques is presented. We also show that, in general, none of the existing structure-preserving balanced truncation methods for second-order systems preserves stability in the reduced models. Numerical examples are given that demonstrate the properties of the new methods.

Suggested Citation

  • Timo Reis & Tatjana Stykel, 2007. "Balanced truncation model reduction of second-order systems," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 14(5), pages 391-406, July.
    • Handle: RePEc:taf:nmcmxx:v:14:y:2007:i:5:p:391-406
    DOI: 10.1080/13873950701844170
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