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具有未知扇區非線性輸入混沌系統的自適應滑模投影同步

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

  • 摘要: 研究了一類具有未知扇區非線性輸入且含有未知不確定性和外部干擾的主從混沌系統的投影同步問題.首先選擇了一個合適的滑模面,然后基于Lyapunov穩定性理論設計滑模控制器和自適應更新規則.所設計的控制器不受未知不確定性和外部干擾的影響,具有很強的魯棒性.通過對不確定主從Duffing-Holmes系統的仿真研究,驗證了所設計控制器的有效性.

     

    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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