AMST ’99 pp 651-657 | Cite as

A Convergent Algorithm for L2 Optimal Mimo Model Reduction

  • A. Ferrante
  • W. Krajewsky
  • A. Lepschy
  • U. Viaro
Conference paper
Part of the International Centre for Mechanical Sciences book series (CISM, volume 406)

Abstract

Often, the exact model of industrial processes turns out to be too complex for simulation and controller design. It is therefore mandatory to simplify the mathematical description of the process and/or the one of the controller. A particularly attractive simplification criterion is related to the minimization of the L 2 norm of the approximation error. This paper presents an algorithm for solving the L 2-optimal MIMO model reduction problem. It is shown that its convergence to the minima of the approximation error norm is guaranteed. The algorithm proves to be fast and efficient compared to other algorithms suggested in the literature to the same purpose.

Keywords

Linear multivariable systems model reduction L2 norm. 
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Copyright information

© Springer-Verlag Wien 1999

Authors and Affiliations

  • A. Ferrante
    • 1
  • W. Krajewsky
    • 2
  • A. Lepschy
    • 3
  • U. Viaro
    • 4
  1. 1.Politecnico di MilanoMilanoItaly
  2. 2.Polish Academy of SciencesWarsawPoland
  3. 3.University of PaduaPaduaItaly
  4. 4.University of UdineUdineItaly

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