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B-Spline Neural Networks Based PID Controller for Hammerstein Systems

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Emerging Intelligent Computing Technology and Applications (ICIC 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 304))

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Abstract

A new PID tuning and controller approach is introduced for Hammerstein systems based on input/output data. A B-spline neural network is used to model the nonlinear static function in the Hammerstein system. The control signal is composed of a PID controller together with a correction term. In order to update the control signal, the multistep ahead predictions of the Hammerstein system based on the B-spline neural networks and the associated Jacobians matrix are calculated using the De Boor algorithms including both the functional and derivative recursions. A numerical example is utilized to demonstrate the efficacy of the proposed approaches.

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References

  1. Anbumani, K., Patnaik, L.M., Sarma, I.G.: Self-tuning minimum variance control of nonlinear systems of the Hammerstein model. IEEE Transactions on Automatic Control AC-26(4), 959–961 (1981)

    Google Scholar 

  2. Bloemen, H.H.J., Boom, T.J.V.D., Verbruggen, H.B.: Model-based predictive control for Hammerstein-Wiener systems. International Journal of Control 74(5), 482–295 (2001)

    Google Scholar 

  3. de Boor, A.: Practical Guide to Splines. Springer, New York (1978)

    Book  MATH  Google Scholar 

  4. Chen, J., Huang, T.: Applying neural networks to on-line updated PID controllers for nonlnear process control. Journal of Process Control 14, 211–230 (2004)

    Article  Google Scholar 

  5. Harris, C.J., Hong, X., Gan, Q.: Adaptive Modelling, Estimation and Fusion from Data: A Neurofuzzy Approach. Springer (2002)

    Google Scholar 

  6. Hong, X., Mitchell, R.J.: A Hammerstein model identification algorithm using bezier-bernstein approximation. IET Proc. Control Theory and Applications 1(4), 1149–1159 (2007)

    Article  MathSciNet  Google Scholar 

  7. Hunter, I.W., Korenberg, M.J.: The identification of nonlinear biological systems: Wiener and Hammerstein cascade models. Biological Cybernetics 55(2-3), 135–144 (1986)

    MathSciNet  MATH  Google Scholar 

  8. Iplikci, S.: A comparative study on a novel model-based PID tuning and control mechanism for nonlinear systems. International Journal of Robust and Nonlinear Control 20(13), 1483–1501 (2010)

    MathSciNet  MATH  Google Scholar 

  9. Nocedal, J., Wright, S.J.: Numerical Optimization. Springer, New York (1999)

    Book  MATH  Google Scholar 

  10. Parlos, A.G., Parthasarathy, S., Atiya, A.F.: Neuro-predicitive process control using on-line controller adaptation. IEEE Transactions on Control Systems Technology 9, 741–755 (2001)

    Article  Google Scholar 

  11. Venkataraman, P.: Applied Optimization with MATLAB Programming. Wiley Interscience, New York (2002)

    Google Scholar 

  12. Zhang, M., Li, W., Liu, M.: Adaptive PID control strategy based on RBF neural network identification. In: Proceedings of the ICNNB International Conference on Neural Networks and Brain, Beijing, China, pp. 1854–1857 (2005)

    Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Hong, X., Iplikci, S., Chen, S., Warwick, K. (2012). B-Spline Neural Networks Based PID Controller for Hammerstein Systems. In: Huang, DS., Gupta, P., Zhang, X., Premaratne, P. (eds) Emerging Intelligent Computing Technology and Applications. ICIC 2012. Communications in Computer and Information Science, vol 304. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31837-5_6

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  • DOI: https://doi.org/10.1007/978-3-642-31837-5_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31836-8

  • Online ISBN: 978-3-642-31837-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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