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.
International Journal of Operational Research, 2016 Vol.27 No.1/2, pp.291 - 302
Available online: 02 Aug 2016 *Full-text access for editors Access for subscribers Purchase this article Comment on this article