Cited by 3Control Systems and IdentificationAdvanced Adaptive Filtering TechniquesFuzzy Logic and Control Systems

Parameters estimation of Hammerstein–Wiener time-delay nonlinear model

Li, Feng, Zhu, Yanzong, Zhou, Shibo, Cao, Qingfeng·2026·Transactions of the Institute of Measurement and Control

Abstract

This paper discusses nonlinear system identification issue for a Hammerstein–Wiener time-delay model. The presented Hammerstein–Wiener model consists of two static nonlinear blocks sandwiching a dynamic linear block, and the nonlinear blocks are established using neuro-fuzzy networks, the dynamic linear block is constructed by a time-delay transfer function. To estimate the unknown parameters of the Hammerstein–Wiener time-delay model, we introduce the theory of separable signals. Initially, the output nonlinear block parameters are estimated through correlation analysis and cluster techniques based on available input-output of separable signals. Then, estimation of time-delay transfer function is facilitated by iteration method, so that time-delay parameter and transfer function parameters are alternately estimated. Finally, the input nonlinear block estimation is facilitated by integrating improved particle swarm optimization with cuckoo search techniques, which resulted in an improvement in the global search ability and convergence speed of neuro-fuzzy network. The simulation comparison results are finally verified via numerical case and state of charge estimation of lithium battery in terms of the feasibility and advantage of the developed Hammerstein–Wiener time-delay model identification.

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Crossref · 10.1177/01423312251361674

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Authors
Li, F., Zhu, Y., Zhou, S., & Cao, Q.
Affiliations
  • Jiangsu University of Technology (CN)
  • Yangzhou University (CN)
Corresponding author
Li, Feng
Venue
Transactions of the Institute of Measurement and Control
Published
2025-09-23
Volume
48
Issue
12
Pages
2990-3000
ISSN
  • 0142-3312 (ISSN-L)
  • 1477-0369
OpenAlex
W4414483319
Cited by
3
References
47
Citations by year
2026: 3
FWCI
1.17
Type
journal article
Language
en
Open access
closed
Locations
Transactions of the Institute of Measurement and Control (publishedVersion)
Funders
  • National Natural Science Foundation of China (62003151)
  • Postgraduate Research and Practice Innovation Program of Jiangsu University of Technology (XSJCX24_06)
  • Qinglan Project of Jiangsu Province of China (2025[4])
  • Zhongwu Youth Innovative Talents Support Program of Jiangsu University of Technology (202102003)
Topics
  • Physical Sciences › Engineering › Control and Systems Engineering › Control Systems and Identification
  • Physical Sciences › Engineering › Computational Mechanics › Advanced Adaptive Filtering Techniques
  • Physical Sciences › Computer Science › Artificial Intelligence › Fuzzy Logic and Control Systems
Keywords
Hammerstein-Wiener model, time-delay systems, nonlinear system identification, parameter estimation, correlation analysis, clustering, fuzzy neural network, particle swarm optimization, cuckoo search algorithm

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