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Model order-reduction for discrete-time switched linear systems

Author

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  • Abderazik Birouche
  • Benjamin Mourllion
  • Michel Basset

Abstract

This article describes the problem of model order-reduction for a class of hybrid discrete-time switched linear systems composed of linear discrete-time invariant subsystems with a switching rule. This article investigates two novel approaches to model order-reduction. The first approach consists in evaluating the error approximation performance; the problems are solved using the robust stability results of the switched systems. The second approach presents the reachability and observability Gramians of the switched systems, which allows a balanced truncation model reduction procedure. A numerical example shows the effectiveness of the proposed approaches.

Suggested Citation

  • Abderazik Birouche & Benjamin Mourllion & Michel Basset, 2012. "Model order-reduction for discrete-time switched linear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(9), pages 1753-1763.
    • Handle: RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1753-1763
    DOI: 10.1080/00207721.2011.554911
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