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Robust chaos synchronization of fractional-order chaotic systems with unknown parameters and uncertain perturbations

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Abstract

Chaotic systems in practice are always influenced by some uncertainties and external disturbances. This paper investigates the problem of practical synchronization of fractional-order chaotic systems. Based on Lyapunov stability theory and a fractional-order differential inequality, a modified adaptive control scheme and adaptive laws of parameters are developed to robustly synchronize coupled fractional-order chaotic systems with unknown parameters and uncertain perturbations. This synchronization approach is simple, global and theoretically rigorous. Simulation results for two fractional-order chaotic systems are provided to illustrate the effectiveness of the proposed scheme.

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Authors and Affiliations

  1. College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang, 050016, P.R. China

    Ruoxun Zhang & Shiping Yang

  2. College of Education, Xingtai University, Xingtai, 054001, P.R. China

    Ruoxun Zhang

Authors
  1. Ruoxun Zhang
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  2. Shiping Yang
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Correspondence to Shiping Yang.

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Zhang, R., Yang, S. Robust chaos synchronization of fractional-order chaotic systems with unknown parameters and uncertain perturbations. Nonlinear Dyn 69, 983–992 (2012). https://doi.org/10.1007/s11071-011-0320-z

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  • DOI: https://doi.org/10.1007/s11071-011-0320-z

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