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Adaptive Controller Design for Full State Hybrid Projective Synchronization of Uncertain Hyperchaotic Systems

机译:不确定超混沌系统全状态混合投影同步的自适应控制器设计

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In this paper, a simple adaptive control scheme is developed to study the full state hybrid projective synchronization (FSHPS) behavior between two identical hyper chaotic systems with unknown parameters. The adaptive FSHPS controllers are designed based on Lyapunov stability theorem and an analytic expression of the controllers with the adaptive laws of parameters are presented. The adaptive controllers can be simplified ulteriorly such that it is not necessary to exert controllers on all the variables to achieve complete synchronization. The experimental results show that parameters identification and FSHPS of two hyper chaotic systems can be realized simultaneously. The proposed methods have certain significance for reducing the cost and complexity for controller implementation.
机译:本文提出了一种简单的自适应控制方案来研究参数未知的两个相同超混沌系统之间的全状态混合射影同步(FSHPS)行为。基于Lyapunov稳定性定理设计了自适应FSHPS控制器,给出了具有参数自适应律的控制器的解析表达式。自适应控制器可以进一步简化,从而不必对所有变量都施加控制器来实现完全同步。实验结果表明,可以同时实现两个超混沌系统的参数辨识和FSHPS。所提出的方法对于降低控制器实现的成本和复杂性具有一定的意义。

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