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Chaotic System Modelling Using a Neural Network with Optimized Structure

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Fractional Order Control and Synchronization of Chaotic Systems

Part of the book series: Studies in Computational Intelligence ((SCI,volume 688))

Abstract

In this work, the Artificial Neural Networks (ANN) are used to model a chaotic system. A method based on the Non-dominated Sorting Genetic Algorithm II (NSGA-II) is used to determine the best parameters of a Multilayer Perceptron (MLP) artificial neural network. Using NSGA-II, the optimal connection weights between the input layer and the hidden layer are obtained. Using NSGA-II, the connection weights between the hidden layer and the output layer are also obtained. This ensures the necessary learning to the neural network. The optimized functions by NSGA-II are the number of neurons in the hidden layer of MLP and the modelling error between the desired output and the output of the neural model. After the construction and training of the neural model, the selected model is used for the prediction of the chaotic system behaviour. This method is applied to model the chaotic system of Mackey-Glass time series prediction problem. Simulation results are presented to illustrate the proposed methodology.

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Authors and Affiliations

  1. Department of Electrical Engineering, University of Oum El Bouaghi, Oum El Bouaghi, Algeria

    Kheireddine Lamamra

  2. Laboratory of Mastering of Renewable Energies, University of Bejaia, Bejaia, Algeria

    Kheireddine Lamamra

  3. Research and Development Centre, Vel Tech University, Avadi, Chennai, Tamil Nadu, India

    Sundarapandian Vaidyanathan

  4. Faculty of Computer and Information, Benha University, Benha, Egypt

    Ahmad Taher Azar

  5. Nanoelectronics Integrated Systems Center (NISC), Nile University, Cairo, Egypt

    Ahmad Taher Azar

  6. Control and Energy Management Laboratory (CEMLab), Department of Electrical Engineering, National School of Engineers of Sfax, Sfax, Tunisia

    Chokri Ben Salah

Authors
  1. Kheireddine Lamamra
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  2. Sundarapandian Vaidyanathan
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  3. Ahmad Taher Azar
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  4. Chokri Ben Salah
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Correspondence to Kheireddine Lamamra .

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Editors and Affiliations

  1. Faculty of Computers and Information, Benha University Faculty of Computers and Information, AND Nanoelectronics Integrated Systems Center (NISC), Nile University, Egypt. , Benha, Egypt

    Ahmad Taher Azar

  2. Research and Development Centre, Vel Tech University Research and Development Centre, Chennai, Tamil Nadu, India

    Sundarapandian Vaidyanathan

  3. Department of Mathematics and CS, University of Tebessa Department of Mathematics and CS, Tebessa, Algeria

    Adel Ouannas

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Lamamra, K., Vaidyanathan, S., Azar, A.T., Ben Salah, C. (2017). Chaotic System Modelling Using a Neural Network with Optimized Structure. In: Azar, A., Vaidyanathan, S., Ouannas, A. (eds) Fractional Order Control and Synchronization of Chaotic Systems. Studies in Computational Intelligence, vol 688. Springer, Cham. https://doi.org/10.1007/978-3-319-50249-6_29

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