Iterative parameter identification algorithms for transformed dynamic rational fraction input–output systems
Miao, Guangqin and Ding, Feng and Liu, Qinyao and Yang, Erfu (2023) Iterative parameter identification algorithms for transformed dynamic rational fraction input–output systems. Journal of Computational and Applied Mathematics, 434. 115297. ISSN 0377-0427 (https://doi.org/10.1016/j.cam.2023.115297)
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Abstract
The rational fraction system is a special nonlinear system, the existence of the denominator polynomial leads to the difficulty of identifying rational fraction models. Inspired by the gradient search and the Newton method, the gradient-based iterative algorithm and Newton iterative algorithm are presented to estimate the parameters of rational fraction system models. Furthermore, in order to avoid a large amount of calculation and complex equations encountered in the process of solving partial derivatives, the model transformation-based gradient iterative algorithm and the model transformation-based Newton iterative algorithm are proposed for parameter identification. Two examples are carried out to show the effectiveness of the proposed algorithms. This paper focuses on solving the identification problem of rational fraction systems.
ORCID iDs
Miao, Guangqin, Ding, Feng, Liu, Qinyao and Yang, Erfu ORCID: https://orcid.org/0000-0003-1813-5950;-
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Item type: Article ID code: 85832 Dates: DateEvent15 December 2023Published6 May 2023Published Online18 April 2023AcceptedSubjects: Science > Mathematics Department: Faculty of Engineering > Design, Manufacture and Engineering Management Depositing user: Pure Administrator Date deposited: 19 Jun 2023 13:42 Last modified: 28 Nov 2024 12:08 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/85832