Model Reduction of MIMO Systems via Tangential Interpolation

  • Authors:
  • K. Gallivan;A. Vandendorpe;P. Van Dooren

  • Affiliations:
  • -;-;-

  • Venue:
  • SIAM Journal on Matrix Analysis and Applications
  • Year:
  • 2005

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Abstract

In this paper, we address the problem of constructing a reduced order system of minimal McMillan degree that satisfies a set of tangential interpolation conditions with respect to the original system under some mild conditions. The resulting reduced order transfer function appears to be generically unique and we present a simple and efficient technique to construct this interpolating reduced order system. This is a generalization of the multipoint Padé technique which is particularly suited to handle multiinput multioutput systems.