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System Identification Using Multilayer Differential Neural Networks: A New Result

Author

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  • J. Humberto Pérez-Cruz
  • A. Y. Alanis
  • José de Jesús Rubio
  • Jaime Pacheco

Abstract

In previous works, a learning law with a dead zone function was developed for multilayer differential neural networks. This scheme requires strictly a priori knowledge of an upper bound for the unmodeled dynamics. In this paper, the learning law is modified in such a way that this condition is relaxed. By this modification, the tuning process is simpler and the dead‐zone function is not required anymore. On the basis of this modification and by using a Lyapunov‐like analysis, a stronger result is here demonstrated: the exponential convergence of the identification error to a bounded zone. Besides, a value for upper bound of such zone is provided. The workability of this approach is tested by a simulation example.

Suggested Citation

  • J. Humberto Pérez-Cruz & A. Y. Alanis & José de Jesús Rubio & Jaime Pacheco, 2012. "System Identification Using Multilayer Differential Neural Networks: A New Result," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:529176
    DOI: 10.1155/2012/529176
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    References listed on IDEAS

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    1. Mohammad Reza Zakerzadeh & Mohsen Firouzi & Hassan Sayyaadi & Saeed Bagheri Shouraki, 2011. "Hysteresis Nonlinearity Identification Using New Preisach Model‐Based Artificial Neural Network Approach," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).
    2. Mohammad Reza Zakerzadeh & Mohsen Firouzi & Hassan Sayyaadi & Saeed Bagheri Shouraki, 2011. "Hysteresis Nonlinearity Identification Using New Preisach Model-Based Artificial Neural Network Approach," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-22, April.
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    Cited by:

    1. J. Humberto Pérez-Cruz & José de Jesús Rubio & E. Ruiz-Velázquez & G. Solís-Perales, 2012. "Tracking Control Based on Recurrent Neural Networks for Nonlinear Systems with Multiple Inputs and Unknown Deadzone," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).

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