Non-linear system modelling based on NARX model expansion on Laguerre orthonormal bases

This study proposes a new representation of discrete Non-linear AutoRegressive with eXogenous inputs (NARX) model by developing its coefficients associated to the input, the output, the crossed product, the exogenous product and the autoregressive product on five independent Laguerre orthonormal bas...

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Bibliographic Details
Published in:	IET signal processing Vol. 12; no. 2; pp. 228 - 241
Main Authors:	Benabdelwahed, Imen, Mbarek, Abdelkader, Bouzrara, Kais, Garna, Tarek
Format:	Journal Article
Language:	English
Published:	The Institution of Engineering and Technology 01.04.2018
Subjects:	autoregressive processes autoregressive product benchmark continuous stirred tank reactor crossed product discrete nonlinear autoregressive with exogenous inputs model discrete time systems exogenous product genetic algorithm genetic algorithms Laguerre orthonormal bases mean square error methods minimisation NARX model expansion NARX‐Laguerre poles nonlinear discrete time system nonlinear system modelling nonlinear systems normalised mean square error minimisation numerical simulations optimisation algorithm parameter number reduction poles and zeros Research Article autoregressive product numerical simulations NARX model expansion discrete time systems NARX-Laguerre poles nonlinear discrete time system Laguerre orthonormal bases autoregressive processes genetic algorithms parameter number reduction poles and zeros discrete nonlinear autoregressive with exogenous inputs model genetic algorithm benchmark continuous stirred tank reactor nonlinear systems nonlinear system modelling crossed product optimisation algorithm minimisation mean square error methods exogenous product normalised mean square error minimisation
ISSN:	1751-9675, 1751-9683, 1751-9683
Online Access:	Get full text
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