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State space approximation for general fractional order dynamic systems

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  • Shu Liang
  • Cheng Peng
  • Zeng Liao
  • Yong Wang

Abstract

Approximations for general fractional order dynamic systems are of much theoretical and practical interest. In this paper, a new approximate method for fractional order integrator is proposed. The poles of the approximate model are unrelated to the order of integrator. This feature shows benefits on extending the algorithm to the systems containing various fractional orders. Then a unified approximate method is derived for general fractional order linear or nonlinear dynamic systems via combining the proposed new method with the distributed frequency model approach. Numerical examples are given to show the wide applicability of our method and to illustrate the acceptable accuracy for approximations as well.

Suggested Citation

  • Shu Liang & Cheng Peng & Zeng Liao & Yong Wang, 2014. "State space approximation for general fractional order dynamic systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(10), pages 2203-2212, October.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:10:p:2203-2212
    DOI: 10.1080/00207721.2013.766773
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    Cited by:

    1. Abolvafaei, Mahnaz & Ganjefar, Soheil, 2020. "Maximum power extraction from wind energy system using homotopy singular perturbation and fast terminal sliding mode method," Renewable Energy, Elsevier, vol. 148(C), pages 611-626.

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