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Analyzing the Nonlinear System by Designing an Optimum Digital Filter named Hermitian-Wiener Filter
DOI:
https://doi.org/10.30564/jcsr.v2i3.2135Abstract
The classical Wiener filter was engaged into identifying the linear structures, resulting in clear and incredible drawbacks in working with nonlinear integrated system. Currently, the Hermitian-Wiener system are suitable for unpredicted sub-system that consists of numerous and complex inputs. The system introduces a two-stage to analyze the subintervals where the output nonlinearities are noninvertible, through using the unknown orders and parameters. Finally, a practical strategy would be discussed to analyze the nonlinear parameters.
Keywords:
Hermitian-Wiener filter; Nonlinearity subsystems; Frequency domain; Wiener systemsReferences
[1] Brouri, A., Giri, F., Ikhouane, F., Chaoui, F. Z., Amdouri, O. Identification of hammerstein-wiener systems with backlash input nonlinearity bordered by straight lines. IFAC Proceedings Volumes, 2014, 47(3): 475-480.
[2] Wills, A., Schön, T. B., Ljung, L., Ninness, B. Identification of hammerstein–wiener models. Automatica, 2013, 49(1): 70-81.
[3] Brouri, A., Kadi, L., Slassi, S. Frequency identification of Hammerstein-Wiener systems with Backlash input nonlinearity. International Journal of Control, Automation and Systems, 2017, 15(5): 2222-2232.
[4] Hsu, Y. L., Wang, J. S. A Wiener-type recurrent neural network and its control strategy for nonlinear dynamic applications. Journal of Process Control, 2009,19(6): 942-953.
[5] Lacy, S. L., Erwin, R. S., Bernstein, D. S.. Identification of Wiener systems with known noninvertible nonlinearities. In Proceedings of the 2001 American Control Conference. (Cat. No. 01CH37148), IEEE,2001, 6: 4890-4895.
[6] Schoukens, M., Bai, E. W., Rolain, Y. Identification of hammerstein-wiener systems. IFAC Proceedings Volumes, 2012, 45(16): 274-279.
[7] Zhou, L., Li, X., Pan, F. Least-squares-based iterative identification algorithm for Wiener nonlinear systems. Journal of Applied Mathematics, 2013.
[8] Hunter, I. W., Korenberg, M. J. The identification of nonlinear biological systems: Wiener and Hammerstein cascade models. Biological cybernetics, 1986,55(2-3): 135-144.