Title: A state space I/O map to transform nonlinear systems into an observable form

Authors: L. Hamrouni

Addresses: Control and Energy Management laboratory (CEM Lab), University of Sfax, ENIS, BP W - 3038, Sfax, Tunisia

Abstract: This paper deals with the problematic of state-space realisation of input-output (i/o) nonlinear systems. For that, we propose a general method that can be used to verify the realisability of i/o models and provides the equivalent state-space model when it is possible. The main advantage of the proposed approach is the use of graphic map to design the state space model without analytic analysis. The resulted state-space model is identified using a special class of modular feed-forward neural networks that embeds the state vector of the model. New results are also proposed using a realisable non-recurrent i/o subclass that is adapted to Matlab identification procedure. This approach is applied on some examples and proved its efficiency.

Keywords: state space realisation; nonlinear systems; smart systems; realisability; observability; controllability; discrete systems; dynamic I/O map; modelling and control; modular neural networks.

DOI: 10.1504/IJDSSS.2017.088059

International Journal of Digital Signals and Smart Systems, 2017 Vol.1 No.2, pp.163 - 180

Received: 21 Jul 2016
Accepted: 08 Mar 2017

Published online: 13 Nov 2017 *

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