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Energetic parameters in approximation of discrete systems: a MIMO extension problem

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  • Amel Baha Houda Adamou-Mitiche
  • Lahcène Mitiche

Abstract

An extension of the use of three model reduction techniques to the MIMO linear discrete time systems is presented, in this paper. The main idea is the use of some intrinsic ingredient of the complete order original system namely the impulse response gramian of the complete order system and the Hankel singular values in the construction of various approximants. These models have been compared to the same order reduced model given by the internal projections method. To see the efficiency of each algorithm, these methods are implemented and several simulations are done. From an illustrative example and by means of two important norms, we can better appreciate the most efficient one.

Suggested Citation

  • Amel Baha Houda Adamou-Mitiche & Lahcène Mitiche, 2016. "Energetic parameters in approximation of discrete systems: a MIMO extension problem," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 27(1/2), pages 291-302.
    • Handle: RePEc:ids:ijores:v:27:y:2016:i:1/2:p:291-302
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