一个新的分段混沌系统的反馈同步

Feedback Synchronization for a New Piecewise Chaotic System

  • 摘要: 针对新近发现的一个分段混沌系统——MLS系统(modified Lorenz-Stenflo)——进行了同步控制研究.基于改进的反馈控制法实现了两个MLS系统的状态同步.改进的控制器不再需要手动调节增益系数,能够根据误差大小自适应地调节反馈增益,加快同步速度.采用反步法设计了同步控制器,并对误差系统的稳定性进行了理论推导.仿真结果验证了同步控制器的正确性和可行性,也体现了改进算法对加快同步速度的优越性.

     

    Abstract: The synchronization control method is studied for a new-found piecewise chaotic system, named as MLS (modified Lorenz-Stenflo) system. Based on the improved feedback control method, the states of the two MLS systems are synchronized. Without manually adjusting the gain coefficients, the improved controllers can adaptively adjust the feedback gain according to the error values to accelerate the synchronization. Then the backstepping method is applied to designing the synchronization controller, and the stability of error systems is derived theoretically. Simulation result shows the correctness and feasibility of the synchronization controllers, and also the advantage of the improved algorithm for accelerating synchronization.

     

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