具有未知扇区非线性输入混沌系统的自适应滑模投影同步

Adaptive sliding mode projective synchronization of chaotic systems with unknown sector input nonlinearity

  • 摘要: 研究了一类具有未知扇区非线性输入且含有未知不确定性和外部干扰的主从混沌系统的投影同步问题.首先选择了一个合适的滑模面,然后基于Lyapunov稳定性理论设计滑模控制器和自适应更新规则.所设计的控制器不受未知不确定性和外部干扰的影响,具有很强的鲁棒性.通过对不确定主从Duffing-Holmes系统的仿真研究,验证了所设计控制器的有效性.

     

    Abstract: The projective synchronization of a class of master-slave chaotic system with unknown sector input nonlinearity,unknown uncertainty and external disturbance was discussed.By choosing an appropriate sliding mode surface,a sliding mode controller and adaptive update laws were designed to achieve synchronization based on the Lyapunov stability theory.The proposed controller has strong robust property since it is beyond the impact of unknown uncertainty and external disturbance.Simulation results of the uncertain master-slave Duffing-Holmes systems show the efficiency of the proposed controller.

     

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