Journal
NONLINEAR DYNAMICS
Volume 69, Issue 3, Pages 983-992Publisher
SPRINGER
DOI: 10.1007/s11071-011-0320-z
Keywords
Modified adaptive control; Fractional order chaotic system; Chaos synchronization; Unknown parameter and uncertain perturbation
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Funding
- Natural Science Foundation of Hebei Province [2010000343]
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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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