Robust chaos synchronization of fractional-order chaotic systems with unknown parameters and uncertain perturbations |
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| Authors: | Ruoxun Zhang Shiping Yang |
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| Affiliation: | 1. College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang, 050016, P.R. China
2. College of Education, Xingtai University, Xingtai, 054001, P.R. China
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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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