Time-delay Hammerstein system identification using modified cross-correlation method and variable stacking length multi-error algorithm

Shaoxue Jing

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 207, issue C, 288-300

Abstract: In this paper, the identification of a time delay Hammerstein system is considered. Based on a normalized Gaussian white input, a cross-correlation function increment method is investigated to estimate the time delay without the parameter estimates. The integer delay is obtained directly, not by rounding a decimal delay estimate. To identify the parameters, a novel multi-error information gradient algorithm with variable stacking length is proposed. In the parameter identification algorithm, the slow stochastic information gradient algorithm is accelerated by a stacked error named multi-error and the variable stacking length is determined by a loss function descent criterion. Several simulation experiments validate the proposed algorithm.

Keywords: Hammerstein systems; System identification; Cross-correlation analysis; Information gradient; Inexact search; Error entropy (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:207:y:2023:i:c:p:288-300

DOI: 10.1016/j.matcom.2022.12.031

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