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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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