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Hierarchical fractional-order Hammerstein system identification

Author

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  • Soumaya Marzougui
  • Asma Atitallah
  • Saida Bedoui
  • Kamel Abderrahim

Abstract

For the fractional-order Hammerstein system with white noise, the difficulty of identification is that the parameters of the linear and the nonlinear blocks and the fractional order are unknown and the intermediate variable and the states are unmeasurable. To overcome this difficulty, we transform the system from an input nonlinear pseudo-state-space system to an input–output representation and we develop an algorithm based on the Recursive Least Squares, the Levenberg–Marquardt and the Auxiliary Model Principle. The convergence of the identified parameters is studied. The performance of the proposed algorithm are tested by two numerical examples.

Suggested Citation

  • Soumaya Marzougui & Asma Atitallah & Saida Bedoui & Kamel Abderrahim, 2021. "Hierarchical fractional-order Hammerstein system identification," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(12), pages 2505-2517, September.
    • Handle: RePEc:taf:tsysxx:v:52:y:2021:i:12:p:2505-2517
    DOI: 10.1080/00207721.2021.1891324
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