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A Bias-Corrected Method for Fractional Linear Parameter Varying Systems

Author

Listed:
  • Zaineb Yakoub
  • Omar Naifar
  • Messaoud Amairi
  • Manel Chetoui
  • Mohamed Aoun
  • Abdellatif Ben Makhlouf
  • Jerzy Baranowski

Abstract

This paper proposes an identification algorithm for the fractional Linear Parameter Varying (LPV) system considering noisy scheduling and output measurements. A bias correction technique is provided in order to compensate for the bias caused by the least squares algorithm. This approach was created to estimate either coefficients or fractional-order differentiation, and it has been proven to produce unbiased and reliable results. The suggested method’s performance is assessed by the identification of two fractional models and was compared with Nelder–Mead Simplex method.

Suggested Citation

  • Zaineb Yakoub & Omar Naifar & Messaoud Amairi & Manel Chetoui & Mohamed Aoun & Abdellatif Ben Makhlouf & Jerzy Baranowski, 2022. "A Bias-Corrected Method for Fractional Linear Parameter Varying Systems," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-14, April.
    • Handle: RePEc:hin:jnlmpe:7278157
    DOI: 10.1155/2022/7278157
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    Cited by:

    1. Zaineb Yakoub & Omar Naifar & Dmitriy Ivanov, 2022. "Unbiased Identification of Fractional Order System with Unknown Time-Delay Using Bias Compensation Method," Mathematics, MDPI, vol. 10(16), pages 1-19, August.

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