Singular value decomposition for a class of linear time-varying systems and its application to switched linear systems

  • Authors:

  • Naoyuki Hara;Hideki Kokame;Keiji Konishi

  • Affiliations:

  • Department of Electrical and Information Systems, Osaka Prefecture University, Osaka, Japan; ; 

  • Venue:
  • ACC'09 Proceedings of the 2009 conference on American Control Conference
  • Year:
  • 2009

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Abstract

This paper deals with singular value decomposition (SVD) for a class of linear time-varying systems. The class considered here describes switched linear systems with periodic switching. Based on an appropriate input-output description, the calculation method of singular values and singular vectors is derived. The SVD enables us to characterize the dominant input-output signals using singular vectors, which form orthogonal systems in input and output spaces. Then SVD is applied to switched linear systems to improve the transient response. A numerical example is provided to demonstrate the proposed method.