Title: On the suboptimal solution for large scale non-linear control systems using neural networks

Authors: Chokri Rekik, Mohamed Djemel, Nabil Derbel

Addresses: Sfax Engineering School, University of Sfax, BPW, Sfax 3038, Tunisia. ' Sfax Engineering School, University of Sfax, BPW, Sfax 3038, Tunisia. ' Sfax Engineering School, University of Sfax, BPW, Sfax 3038, Tunisia

Abstract: This work is aimed at looking into the determination of optimal control strategies of large scale non-linear systems. The basic idea consists of the decomposition of the global system into interconnected subsystems. We consider non-linear systems whose subsystems are linear with respect to their state and control; in other words, non-linearities are located in the interconnection terms. Then, for each subsystem, local optimal feedback gains are easily expressed in terms of interconnection vectors. Such optimisation has been successfully achieved using a neural net yielding the optimal gain at each step time. Some numerical examples are considered in order to illustrate the proposed approach.

Keywords: optimal control; interconnected subsystems; neural networks; nonlinear systems; interconnection vectors; optimisation.

DOI: 10.1504/IJMIC.2007.016411

International Journal of Modelling, Identification and Control, 2007 Vol.2 No.4, pp.283 - 290

Published online: 28 Dec 2007 *

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