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Synchronizing different chaotic systems using active sliding mode control

Haeri, M ; Sharif University of Technology | 2007

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  1. Type of Document: Article
  2. DOI: 10.1016/j.chaos.2005.09.037
  3. Publisher: 2007
  4. Abstract:
  5. An active sliding mode controller is designed to synchronize three pairs of different chaotic systems (Lorenz-Chen, Chen-Lü, and Lü-Lorenz) in drive-response structure. It is assumed that the system parameters are known. The closed loop error dynamics depend on the linear part of the response systems and parameters of the controller. Therefore, the synchronization rate can be adjusted through these parameters. Analysis of the stability for the proposed method is derived based on the Lyapunov stability theorem. Finally, numerical results are presented to show the effectiveness of the proposed control technique. © 2005 Elsevier Ltd. All rights reserved
  6. Keywords:
  7. Error analysis ; Linear systems ; Lyapunov methods ; Numerical analysis ; Sliding mode control ; Synchronization ; Chaotic systems ; Lyapunov stability ; Response systems ; Chaos theory
  8. Source: Chaos, Solitons and Fractals ; Volume 31, Issue 1 , 2007 , Pages 119-129 ; 09600779 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0960077905008891