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On fractional order composite model reference adaptive control

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  • Yiheng Wei
  • Zhenyuan Sun
  • Yangsheng Hu
  • Yong Wang

Abstract

This paper presents a novel composite model reference adaptive control approach for a class of fractional order linear systems with unknown constant parameters. The method is extended from the model reference adaptive control. The parameter estimation error of our method depends on both the tracking error and the prediction error, whereas the existing method only depends on the tracking error, which makes our method has better transient performance in the sense of generating smooth system output. By the aid of the continuous frequency distributed model, stability of the proposed approach is established in the Lyapunov sense. Furthermore, the convergence property of the model parameters estimation is presented, on the premise that the closed-loop control system is stable. Finally, numerical simulation examples are given to demonstrate the effectiveness of the proposed schemes.

Suggested Citation

  • Yiheng Wei & Zhenyuan Sun & Yangsheng Hu & Yong Wang, 2016. "On fractional order composite model reference adaptive control," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(11), pages 2521-2531, August.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2521-2531
    DOI: 10.1080/00207721.2014.998749
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    Cited by:

    1. Muñoz-Vázquez, Aldo Jonathan & Ortiz-Moctezuma, Manuel Benjamín & Sánchez-Orta, Anand & Parra-Vega, Vicente, 2019. "Adaptive robust control of fractional-order systems with matched and mismatched disturbances," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 162(C), pages 85-96.

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