Neural Predictive Control of Unknown Chaotic Systems

In this work, a neural networks is developed for modelling and controlling a chaotic system based on measured input-output data pairs. In the chaos modelling phase, a neural network is trained on the unknown system. Then, a predictive control mechanism has been implemented with the neural networks t...

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Main Authors: A. Boukabou, N. Mansouri
Format: Article
Language:English
Published: Vilnius University Press 2005-04-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/15125
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author A. Boukabou
N. Mansouri
author_facet A. Boukabou
N. Mansouri
author_sort A. Boukabou
collection DOAJ
description In this work, a neural networks is developed for modelling and controlling a chaotic system based on measured input-output data pairs. In the chaos modelling phase, a neural network is trained on the unknown system. Then, a predictive control mechanism has been implemented with the neural networks to reach the close neighborhood of the chosen unstable fixed point embedded in the chaotic systems. Effectiveness of the proposed method for both modelling and prediction-based control on the chaotic logistic equation and Hénon map has been demonstrated.
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spelling doaj.art-88b01c47390247ce884b9975e21cf14c2022-12-21T23:36:09ZengVilnius University PressNonlinear Analysis1392-51132335-89632005-04-0110210.15388/NA.2005.10.2.15125Neural Predictive Control of Unknown Chaotic SystemsA. Boukabou0N. Mansouri1Jijel University, AlgeriaMentouri University, AlgeriaIn this work, a neural networks is developed for modelling and controlling a chaotic system based on measured input-output data pairs. In the chaos modelling phase, a neural network is trained on the unknown system. Then, a predictive control mechanism has been implemented with the neural networks to reach the close neighborhood of the chosen unstable fixed point embedded in the chaotic systems. Effectiveness of the proposed method for both modelling and prediction-based control on the chaotic logistic equation and Hénon map has been demonstrated.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/15125chaosneural networkspredictive control
spellingShingle A. Boukabou
N. Mansouri
Neural Predictive Control of Unknown Chaotic Systems
Nonlinear Analysis
chaos
neural networks
predictive control
title Neural Predictive Control of Unknown Chaotic Systems
title_full Neural Predictive Control of Unknown Chaotic Systems
title_fullStr Neural Predictive Control of Unknown Chaotic Systems
title_full_unstemmed Neural Predictive Control of Unknown Chaotic Systems
title_short Neural Predictive Control of Unknown Chaotic Systems
title_sort neural predictive control of unknown chaotic systems
topic chaos
neural networks
predictive control
url http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/15125
work_keys_str_mv AT aboukabou neuralpredictivecontrolofunknownchaoticsystems
AT nmansouri neuralpredictivecontrolofunknownchaoticsystems