Iterative parameter identification algorithms for transformed dynamic rational fraction input–output systems

Guangqin Miao, Feng Ding, Qinyao Liu, Erfu Yang

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

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.
Original languageEnglish
Article number115297
Number of pages23
JournalJournal of Computational and Applied Mathematics
Volume434
Early online date6 May 2023
DOIs
Publication statusPublished - 15 Dec 2023

Keywords

  • rational fraction system
  • gradient search
  • Newton search
  • model transformation
  • parameter identification

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