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Fractional-order identification system based on Sundaresan’s technique

Author

Listed:
  • Campos, Michel W.S.
  • Ayres, Florindo A.C.
  • de Bessa, Iury Valente
  • de Medeiros, Renan L.P.
  • Martins, Paulo R.O.
  • Lenzi, Ervin kaminski
  • Filho, João E.C.
  • Vilchez, José R.S.
  • Lucena, Vicente F.

Abstract

This paper investigates the Sundaresan technique for modeling fractional order systems. Sundaresan, Prasad, and Krishnaswamy published this method in 1978 for modeling oscillatory and non-oscillatory systems based on the second-order integer transfer function. This technique is based on the transient response parameters. A problem of convergence of the derivative of the response in the frequency domain makes it impossible to follow Sundaresan’s solution in his original paper with integer order when it is a fractional order case. The paper proposes an equation that outlines this problem. Due to the limited knowledge of the inverse Mittag-Leffler function, a reduced form of this equation is explicit to avoid the inverse problem. Results with simulated and real curve shapes show that the method works well, with a good approximation to the curve, both with simulation and real system curves.

Suggested Citation

  • Campos, Michel W.S. & Ayres, Florindo A.C. & de Bessa, Iury Valente & de Medeiros, Renan L.P. & Martins, Paulo R.O. & Lenzi, Ervin kaminski & Filho, João E.C. & Vilchez, José R.S. & Lucena, Vicente F., 2024. "Fractional-order identification system based on Sundaresan’s technique," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    • Handle: RePEc:eee:chsofr:v:185:y:2024:i:c:s0960077924006842
    DOI: 10.1016/j.chaos.2024.115132
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