Improved system identification method for Hammerstein-Wiener processes |
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Authors: | Su Whan Sung Cheol Ho Je Jietae Lee Dong Hyun Lee |
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Affiliation: | (1) Department of Chemical Engineering, Kyungpook National University, 1370 Sankyeok-dong, Buk-gu, Daegu, 702-701, Korea;(2) Department of Chemical Engineering, Sungkyunkwan University, 300 Chunchun, Jangan, Suwon, 440-746, Korea |
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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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Keywords: | Relay Feedback Method Identification Test Signal Nonlinearity Hammerstein-Wiener-type Nonlinear Process |
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