The data filtering based multiple‐stage Levenberg–Marquardt algorithm for Hammerstein nonlinear systems

This article considers the parameter identification problem of multiple‐input single‐output Hammerstein nonlinear systems. Applying the data filtering technique, the input–output data are filtered. The filtered system is decomposed into multiple subsystems with fewer variables by using the hierarchi...

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Bibliographic Details
Published inInternational journal of robust and nonlinear control Vol. 31; no. 15; pp. 7007 - 7025
Main Authors Ji, Yan, Kang, Zhen, Liu, Ximei
Format Journal Article
LanguageEnglish
Published Bognor Regis Wiley Subscription Services, Inc 01.10.2021
Subjects
Algorithms
filtering technique
Filtration
hierarchical identification
Levenberg–Marquardt algorithm
nonlinear system
Nonlinear systems
parameter estimation
Parameter identification
Subsystems
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Summary:This article considers the parameter identification problem of multiple‐input single‐output Hammerstein nonlinear systems. Applying the data filtering technique, the input–output data are filtered. The filtered system is decomposed into multiple subsystems with fewer variables by using the hierarchical identification principle. The data filtering based multiple‐stage Levenberg–Marquardt algorithm is proposed for interactively identifying each subsystem. Finally, a numerical simulation example is given to demonstrate the effectiveness of the proposed algorithms.
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ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.5675