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Improved system identification method for Hammerstein-Wiener processes

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Abstract

We propose a new system identification method for Hammerstein-Wiener processes, in which an input static nonlinear block, a linear dynamic block, and an output static nonlinear block are connected in a series. The proposed method can estimate the model parameters in a very simple way without solving the full-dimensional nonlinear optimization problem by activating the process with a specially designed test signal, composed of a relay feedback signal, a binary signal and a multi-step signal. The proposed method analytically identifies the output nonlinear static function and the input nonlinear static function from the relay signal and the multi-step signal, respectively. The linear dynamic subsystem is identified from the relay feedback signal and the binary signal with existing well-established linear system identification methods. We demonstrate with a simple example that the proposed method can be successfully applied to identify the Hammerstein-Wiener-type nonlinear process.

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References

  1. R. Haber and H. Unbehauen, Automatica, 26, 651 (1990).

    Article  Google Scholar 

  2. E. Bai, Automatica, 34, 333 (1998).

    Article  Google Scholar 

  3. E. Bai, Automatica, 38, 967 (2002).

    Article  Google Scholar 

  4. Y. Zhu, Automatica, 38, 1607 (2002).

    Article  Google Scholar 

  5. P. Crama and J. Schoukens, Automatica, 40, 1543 (2004).

    Article  Google Scholar 

  6. S.W. Sung, Ind. Eng. Chem. Res., 41, 4295 (2002).

    Article  CAS  Google Scholar 

  7. Y. J. Lee, S.W. Sung, S. Park and S. Park, Ind. Eng. Chem. Res., 43, 7521 (2004).

    Article  CAS  Google Scholar 

  8. H. C. Park, S.W. Sung and J. Lee, Ind. Eng. Chem. Res., 45, 1029 (2006).

    Article  CAS  Google Scholar 

  9. L. Ljung, System identification: Theory for the user, Prentice-Hall. Englewood Cliffs, NJ (1987).

    Google Scholar 

  10. S.W. Sung and I. Lee, Ind. Eng. Chem. Res., 40, 5743 (2001).

    Article  CAS  Google Scholar 

  11. T. Söderström and P. Stoica, System identification, Prentice-Hall, Englewood Cliffs, NJ (1989).

    Google Scholar 

  12. W. E. Larimore, Canonical variate analysis in identification, filtering, and adaptive control, Proceedings of the 29th IEEE Conference On Decision and Control, Honolulu, HI, 596 (1990).

  13. M. Verhaegen, Automatica, 30, 1877 (1994).

    Article  Google Scholar 

  14. P. Van Overschee and B. De Moor, Automatica, 30, 75 (1994).

    Article  Google Scholar 

  15. S.W. Sung and I.-B. Lee, Korean J. Chem. Eng., 16, 45 (1999).

    Article  CAS  Google Scholar 

  16. K. J. Åström and T. Hägglund, Automatica, 20, 645 (1984).

    Article  Google Scholar 

  17. C. C. Hang, K. J. Åström and Q.G. Wang, J. Proc. Contr., 12, 143 (2002).

    Article  CAS  Google Scholar 

  18. J. Lee and D. H. Kim, Chem. Eng. Sci., 56, 6711 (2001).

    Article  CAS  Google Scholar 

  19. S.W. Sung and J. Lee, Chem. Eng. Sci., 59, 1515 (2004).

    Article  CAS  Google Scholar 

  20. S.W. Sung, J. H. Park and I. Lee, Ind. Eng. Chem. Res., 34, 4133 (1995).

    Article  CAS  Google Scholar 

  21. S. Shen, H. Yu and C. Yu, Chem. Eng. Sci., 51, 1187 (1996).

    Article  CAS  Google Scholar 

  22. K. K. Tan, T. H. Lee and Q.G. Wang, AIChE J., 42, 2555 (1996).

    Article  CAS  Google Scholar 

  23. M. Friman and K.V. Waller, Ind. Eng. Chem. Res., 36, 2662 (1997).

    Article  CAS  Google Scholar 

  24. C.C. Hang, K. J. Åström and W. K. Ho, Automatica, 29, 563 (1993).

    Article  Google Scholar 

  25. J. H. Park, S.W. Sung and I. Lee, Automatica, 33, 711 (1997).

    Article  Google Scholar 

  26. S. Shen, J. Wu and C. Yu, Ind. Eng. Chem. Res., 35, 1642 (1996).

    Article  CAS  Google Scholar 

  27. S.W. Sung and J. Lee, Ind. Eng. Chem. Res., 45, 4026 (2006).

    Google Scholar 

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Correspondence to Su Whan Sung.

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Sung, S.W., Je, C.H., Lee, J. et al. Improved system identification method for Hammerstein-Wiener processes. Korean J. Chem. Eng. 25, 631–636 (2008). https://doi.org/10.1007/s11814-008-0105-3

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  • DOI: https://doi.org/10.1007/s11814-008-0105-3

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