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

Asheghan, M. M ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. DOI: 10.1016/j.amc.2013.07.045
  3. Publisher: 2013
  4. Abstract:
  5. 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
  6. Keywords:
  7. Chaos synchronization ; Chaotic behaviors ; Equilibrium point ; Fractional-order chaotic systems ; Fractional-order systems ; Non-fragile control ; Parameter uncertainty ; State feedback controller ; Algebra ; Linear matrix inequalities ; Robust control ; State feedback ; Synchronization ; Chaotic systems
  8. Source: Applied Mathematics and Computation ; Volume 222 , 2013 , Pages 712-721 ; 00963003 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0096300313007959