Abstract

Considered the assumption that the control direction is known, a kind of chaotic system with different driven and response structures is studied. Based on Lyapunov stability theorem, a kind of double integral sliding mode synchronization controller is designed. Also, the adaptive strategy is introduced to solve the full unknown parameters and uncertain nonlinear functions. Furthermore, the situation for chaotic system with input nonlinearity is researched. Finally, a kind of super chaotic system is taken as an example and numerical simulation is done to testify the rightness of the proposed method.

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