Robust Synchronization of Fractional Chaotic Systems via Adaptive Sliding Mode Control

In this paper, the problem of synchronization control for fractional chaotic systems is investigated. Based on the idea of sliding mode control, a special type of fraction-integer integral (FII) switching surface is first proposed, and then an adaptive control law is derived to guarantee the synchronization of masterslave fractional chaotic systems even though unknown parameters as well as external disturbance are present. The proposed FII switching surface is simple for assigning the stability of the error system in the sliding mode. An illustrative example of the fractional Chua's system is given to demonstrate the effectiveness of the proposed scheme.

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