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Neural Identifier-Control Scheme for Nonlinear Discrete Systems with Input Delay

  • Jorge D. Rios
  • Alma Y. AlanísEmail author
  • Nancy Arana-Daniel
  • Carlos López-Franco
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 648)

Abstract

This work presents a scheme based on a discrete recurrent high order neural network identifier and a block control based on sliding modes for nonlinear discrete-time systems with input delays in real-time. The identifier is trained with an extended Kalman Filter based algorithm and the block control is used for trajectory tracking. Experimental results are included using a linear induction motor prototype with added delays to its input signals.

Keywords

Extended Kalman filter training Neural block control Neural identification Real-time Time-delay 

Notes

Acknowledgments

The authors thank the support of CONACYT Mexico, through Projects CB256769 and CB258068 (“Project supported by Fondo Sectorial de Investigación para la Educación”).

References

  1. 1.
    Boukas, E., Liu, Z.: Deterministic and Stochastic Time-Delay Systems. Birkhauser, Boston (2012)Google Scholar
  2. 2.
    Mahmoud, M.: Switched Time-Delay Systems: Stability and Control. Springer, Heidelberg (2014)Google Scholar
  3. 3.
    Norgaard, M., Ravn, O., Poulsen, N., Hansen, L.: Neural Networks for Modelling and Control of Dynamic System. Springer, New York (2000)CrossRefzbMATHGoogle Scholar
  4. 4.
    Fu, L., Li, P.: The research survey of system identification. In: 5th International Conference on Intelligent Human-Machine Systems and Cybernetics (IHMSC), Hangzhou, China, pp. 397–401. IEEE (2013)Google Scholar
  5. 5.
    Sanchez, E., Alanis, A., Loukianov, A.: Discrete-Time High Order Neural Control. Springer, Berling (2008)CrossRefzbMATHGoogle Scholar
  6. 6.
    Haykin, S.: Neural Networks and Learning Machines. Prentice Hall, Upper Saddle River (2009). InternationalGoogle Scholar
  7. 7.
    Rovithakis, G., Christodoulou, M.: Adaptive Control with Recurrent High-order Neural Networks: Theory and Industrial Applications. Springer, London (2012)Google Scholar
  8. 8.
    Liu, M.: Neural network based fault tolerant control of a class of nonlinear systems with input time delay. In: Advances in Neural Networks - ISNN 2004: International Symposium on Neural Networks, Dalian, China, pp. 91–96. Springer (2004)Google Scholar
  9. 9.
    Spandan, R., Indra, K.: Adaptive robust tracking control of a class of nonlinear systems with input delay. Nonlinear Dyn. 85(2), 1124–1139 (2016)MathSciNetzbMATHGoogle Scholar
  10. 10.
    Li, L., Niu, B.: Adaptive neural network tracking control for switched strict-feedback nonlinear systems with input delay. In: 2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP), Wuhan, China (2015)Google Scholar
  11. 11.
    Li, H., Wang, L., Du, H., Boulkrone, A.: Adaptive fuzzy backstepping tracking control for strict-feedback systems with input delay. IEEE Trans. Fuzzy Syst. 25, 642–652 (2017)CrossRefGoogle Scholar
  12. 12.
    Ogata, K.: Discrete-time Control Systems. Prentice Hall, Upper Saddle River (1995). InternationalGoogle Scholar
  13. 13.
    Alanis, A., Rios, J., Rivera, J., Arana-Daniel, N., Lopez-Franco, C.: Real-time discrete neural control applied to a linear induction motor. Neurocomputing 164, 240–251 (2015)CrossRefGoogle Scholar
  14. 14.
    Alanis, A., Rios, J., Arana-Daniel, N., Lopez-Franco, C.: Neural identifier for unknown discrete-time nonlinear delayed systems. Neural Comput. Appl. 27(8), 2453–2464 (2016)CrossRefGoogle Scholar
  15. 15.
    Rios, J., Alanis, A., Lopez-Franco, M., Lopez-Franco, C., Arana-Daniel, N.: Real-time neural identification and inverse optimal control for a tracked robot. Adv. Mech. Eng. 9(3), 1–18 (2017)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Jorge D. Rios
    • 1
  • Alma Y. Alanís
    • 1
    Email author
  • Nancy Arana-Daniel
    • 1
  • Carlos López-Franco
    • 1
  1. 1.Universidad de Guadalajara, Centro Universitario de Ciencias Exactas e IngenieríasGuadalajaraMexico

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