Title: Approximation and balanced reduction of non-linear systems by bilinear models

Authors: Maamar Bettayeb, Said Djennoune

Addresses: Department of Electrical and Computer Engineering, University of Sharjah, United Arab Emirates. ' Laboratoire de Conduite et Controle des Systemes de Production, University Mouloud Mammeri of Tizi-Ouzou, Algeria

Abstract: In this paper, we propose an order model reduction scheme for a class of non-linear systems. The method is based on truncated balanced realisation algorithm mixed with a bilinearisation process of the non-linear system. Our method is an extension of the recently developed Trajectory Piece-Wise-Linear (TPWL) approach which is based on representing the non-linear system with a piece-wise-linear model. The method developed here considers a more general non-linear system for which the input matrix depends on the state.

Keywords: model order reduction; nonlinear systems; balanced realisation; bilinear models; piecewise linear models.

DOI: 10.1504/IJMIC.2007.014322

International Journal of Modelling, Identification and Control, 2007 Vol.2 No.1, pp.9 - 15

Published online: 01 Jul 2007 *

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