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Identification of Hammerstein systems with asymmetric dead-zone nonlinearities using canonical parameterized model

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Abstract

A non-iterative identification method with parameterization of the unknown dead-zone is proposed for Hammerstein systems in presence of asymmetric dead-zone nonlinearities. The canonical parameterized model which is a single expression without segmentation is utilized to describe the dead-zone, based on which a universal-type parametric model can be established to approximate the entire system. This model can be established without separating the nonlinear part from the linear part. The dead-zone parameters and the coefficients in the linear transfer function can be estimated simultaneously according to the proposed algorithm. Numerical experiments are presented to illustrate the effectiveness of the proposed scheme.

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References

  1. T. Kara, I. Eker. Nonlinear modeling and identification of a DC motor for bidirectional operation with real time experiments. Energy Conversion and Management, 2004, 45(7/8): 1087–1106.

    Article  Google Scholar 

  2. M. Jelali. Estimation of valve stiction in control loops using separable least-squares and global search algorithms. Journal of Process Control, 2008, 18(7/8): 632–642.

    Article  Google Scholar 

  3. T. Kara, I. Eker. Experimental nonlinear identification of a two mass system. Proceedings of the IEEE Conference on Control Applications. Istanbul, Turkey: IEEE, 2003: 66–71.

    Google Scholar 

  4. X. Gu, Y. Bao, Z. Lang. A parameter identification method for a class of discrete-time nonlinear systems. Proceedings of the 12th World Congress on Mathematics and Computers in Simulation. Cetraro: IMACS, 1988: 627–629.

    Google Scholar 

  5. F. Giri, Y. Rochdi, F. Z. Chaoui. Hammerstein systems identification in presence of hard nonlinearities of preload and dead-zone type. IEEE Transactions on Automatic Control, 2009, 54(9): 2174–2178.

    Article  MathSciNet  Google Scholar 

  6. J. Voros. Parameter identification of discontinuous hammerstein systems. Automatica, 1997, 33(6): 1141–1146.

    Article  MathSciNet  Google Scholar 

  7. E. Bai. Identification of linear systems with hard input nonlinearities of known structure. Automatica, 2002, 38(5): 853–860.

    Article  MathSciNet  MATH  Google Scholar 

  8. J. Voros. Recursive identification of Hammerstein systems with discontinuous nonlinearities containing dead-zones. IEEE Transactions on Automatic Control, 2003, 48(12): 2203–2206.

    Article  MathSciNet  Google Scholar 

  9. Y. Tan, R. Dong, R. Li. Recursive identification of sandwich systems with dead zone and application. IEEE Transactions on Control Systems Technology, 2009, 17(4): 945–951.

    Article  Google Scholar 

  10. S. Wang, X. Huang, K. M. Junaid. Configuration of continuous piecewise-linear neural networks. IEEE Transactions on Neural Networks, 2008, 19(8): 1431–1444.

    Article  Google Scholar 

  11. Y. Wang, Y. Li, X. Huang, et al. Constructive PWL neural network approximation. Electric Machines and Control, 2008, 12(3): 319–323.

    MathSciNet  Google Scholar 

  12. F. Z. Chaoui, F. Giri, Y. Rochdi, et al. System identification based on Hammerstein model. Inernational Journal of Control, 2005, 78(6): 430–442.

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Xiaohua Lü.

Additional information

This work was supported by the National Natural Science Foundation of China (Nos. 60974046, 61011130163).

Xiaohua LÜ received his B.E. degree in Department of Automatic Control from Beijing Institute of Technology, China, in 2006. He is currently working towards the Ph.D. degree in the School of Automation at Beijing Institute of Technology, China.

Xuemei REN received her B.S. degree from Shandong University, China, in 1989, and the M.S. and Ph.D. degrees in Control Engineering from Beihang University, China, in 1992 and 1995, respectively. She is currently a professor in the School of Automation, Beijing Institute of Technology, Beijing, China. Her research interests include intelligent systems, neural networks, adaptive and nonlinear control.

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Lü, X., Ren, X. Identification of Hammerstein systems with asymmetric dead-zone nonlinearities using canonical parameterized model. J. Control Theory Appl. 10, 511–516 (2012). https://doi.org/10.1007/s11768-012-0175-y

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  • DOI: https://doi.org/10.1007/s11768-012-0175-y

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