Non-fragile control and synchronization of a new fractional order chaotic system Articles uri icon

authors

  • ASHEGHAN, MOHAMMADMOSTAFA
  • DELSHAD, SALEH S.
  • BEHESHTI, MOHAMMAD TAGHI HAMIDI
  • TAVAZOEI, MOHAMMAD SALEH

publication date

  • October 2013

start page

  • 712

end page

  • 721

issue

  • OCTUBRE

volume

  • 222

International Standard Serial Number (ISSN)

  • 0096-3003

Electronic International Standard Serial Number (EISSN)

  • 1873-5649

abstract

  • In this paper, we address global non-fragile control and synchronization of a new fractional order chaotic system. First we inspect the chaotic behavior of the fractional order system under study and also find the lowest order (2.49) for the introduced dynamics to remain chaotic. Then, a necessary and sufficient condition which can be easily extended to other fractional-order systems is proposed in terms of Linear Matrix Inequality (LMI) to check whether the candidate state feedback controller with parameter uncertainty can guarantee zero convergence of error or not. In addition, the proposed method provides a global zero attraction of error that guarantees stability around all existing equilibrium points. Finally, numerical simulation are employed to verify the validity of the proposed algorithm.

keywords

  • fractional order systems; chaos synchronization; robust control