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Adaptive synchronization for two identical generalized Lorenz chaotic systems via a single controller. (English) Zbl 1167.37329
Summary: This paper presents a systematic design procedure to synchronize two identical generalized Lorenz chaotic systems based on a sliding mode control. In contrast to the previous works, this approach only needs a single controller to realize synchronization, which has considerable significance in reducing the cost and complexity for controller implementation. A switching surface only including partial states is adopted to ensure the stability of the error dynamics in the sliding mode. Then an adaptive sliding mode controller (ASMC) is derived to guarantee the occurrence of the sliding motion even when the parameters of the drive and response generalized Lorenz systems are unknown. Last, an example is included to illustrate the results developed in this paper.

MSC:
37D45Strange attractors, chaotic dynamics
34D05Asymptotic stability of ODE
37N35Dynamical systems in control
93C40Adaptive control systems
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References:
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