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

Authors: Amel Baha Houda Adamou-Mitiche; Lahcène Mitiche

Addresses: Science and Technology Department, University of Djelfa, Algeria ' Science and Technology Department, University of Djelfa, Algeria

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.

Keywords: MIMO discrete time systems; impulse response gramian; Markov parameters; reduced order modelling; approximation; H2 norm; H-infinity norm; model order reduction; model reduction.

DOI: 10.1504/IJOR.2016.078461

International Journal of Operational Research, 2016 Vol.27 No.1/2, pp.291 - 302

Received: 19 Oct 2013
Accepted: 08 May 2014
Published online: 22 Aug 2016 *

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