单模激光Lorenz系统反同步控制研究

Anti-synchronization control of single-mode laser Lorenz system

  • 摘要: 提出了一种实现异结构混沌系统反同步控制的方法。根据Lyapunov 稳定性理论给出控制器的结构。以单模激光Lorenz系统和Rossler系统为例,验证了这种控制器的有效性。进一步研究了不确定混沌系统的反同步,并以不确定单模激光Lorenz系统和Rossler系统为例,实现了混沌反同步控制,同时系统中不确定参数得到识别。仿真模拟结果验证了这种方法的有效性。设计的反同步控制方法可用于任意混沌系统,具有一定的普适性。

     

    Abstract: A method is proposed to realize anti-synchronization of different chaotic systems. A controller was designed based on Lyapunov stability theory. The single-mode laser Lorenz system and Rossler system were taken as examples to verify the effectiveness of the proposed method. The anti-synchronization of uncertain chaotic systems was studied. Taking the uncertain single-mode laser Lorenz system and Rossler system as examples, the chaotic anti-synchronization control was realized, and the uncertain parameters in the systems were identified. The simulation results show that the method is effective and practical. The method is applicable to any chaotic systems, and can be used widely.

     

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