Loading...

Adaptive synchronization of uncertain fractional-order chaotic systems using sliding mode control techniques

Yaghooti, B ; Sharif University of Technology | 2020

531 Viewed
  1. Type of Document: Article
  2. DOI: 10.1177/0959651819849284
  3. Publisher: SAGE Publications Ltd , 2020
  4. Abstract:
  5. In this article, an adaptive nonlinear controller is designed to synchronize two uncertain fractional-order chaotic systems using fractional-order sliding mode control. The controller structure and adaptation laws are chosen such that asymptotic stability of the closed-loop control system is guaranteed. The adaptation laws are being calculated from a proper sliding surface using the Lyapunov stability theory. This method guarantees the closed-loop control system robustness against the system uncertainties and external disturbances. Eventually, the presented method is used to synchronize two fractional-order gyro and Duffing systems, and the numerical simulation results demonstrate the effectiveness of this method. © IMechE 2019
  6. Keywords:
  7. Fractional-order chaotic systems ; Fractional-order sliding mode control ; Asymptotic stability ; Chaotic systems ; Closed loop control systems ; Control theory ; Controllers ; Numerical methods ; Sliding mode control ; Synchronization ; Adaptive Control ; Adaptive nonlinear controllers ; Adaptive synchronizations ; Controller structures ; External disturbances ; Fractional order ; Lyapunov stability theory ; Adaptive control systems
  8. Source: Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering ; Volume 234, Issue 1 , 2020 , Pages 3-9
  9. URL: https://journals.sagepub.com/doi/full/10.1177/0959651819849284