Robust synchronization of chaotic systems via adaptive sliding mode control. (English) Zbl 1160.37352

Summary: This Letter investigates the synchronization problem for a general class of chaotic systems. Using the sliding mode control technique, an adaptive control law is established to guarantee synchronization of the master and slave systems even when unknown parameters and external disturbances are present. In contrast to the previous works, the structure of slave system is simple and need not be identical to the master system. Furthermore, a novel proportional-integral (PI) switching surface is proposed to simplify the task of assigning the performance of the closed-loop error system in sliding mode. An illustrative example of Chua’s circuit is given to demonstrate the effectiveness of the proposed synchronization scheme.


37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
94C05 Analytic circuit theory
Full Text: DOI


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