This paper proposes a three-dimensional autonomous chaotic system which displays some interest dynamical behaviors such as invariable Lyapunov exponent spectrums and controllable signal amplitude. The corresponding fractional version of the proposed system is obtained. A single state controller for synchronization of this fractional-order chaotic system is developed based on the techniques of sliding mode control and adaptive control. Numerical simulations are provided to demonstrate the feasibility of the presented synchronization method.
Adaptive Sliding Mode Control for Synchronization of a Fractional-Order Chaotic System
Contributed by the Design Engineering Division of ASME for publication in the Journal of Computational and Nonlinear Dynamics. Manuscript received June 11, 2012; final manuscript received October 7, 2012; published online November 28, 2012. Assoc. Editor: J. A. Tenreiro Machado.
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Li, C., Su, K., and Wu, L. (November 28, 2012). "Adaptive Sliding Mode Control for Synchronization of a Fractional-Order Chaotic System." ASME. J. Comput. Nonlinear Dynam. July 2013; 8(3): 031005. https://doi.org/10.1115/1.4007910
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