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Subspace-based continuous-time identification of fractional order systems from non-uniformly sampled data

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  • Yangsheng Hu
  • Yuan Fan
  • Yiheng Wei
  • Yong Wang
  • Qing Liang

Abstract

This work focuses on the identification of fractional commensurate order systems from non-uniformly sampled data. A novel scheme is proposed to solve such problem. In this scheme, the non-uniformly sampled data are first complemented by using fractional Laguerre generating functions. Then, the multivariable output error state space method is employed to identify the relevant system parameters. Moreover, an in-depth property analysis of the proposed scheme is provided. A numerical example is investigated to illustrate the effectiveness of the proposed method.

Suggested Citation

  • Yangsheng Hu & Yuan Fan & Yiheng Wei & Yong Wang & Qing Liang, 2016. "Subspace-based continuous-time identification of fractional order systems from non-uniformly sampled data," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(1), pages 122-134, January.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:122-134
    DOI: 10.1080/00207721.2015.1029568
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    1. Iraj Kheirizad & Ali Jalali & Khosro Khandani, 2013. "Stabilisation of unstable FOPDT processes with a single zero by fractional-order controllers," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(8), pages 1533-1545.
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