一种具有结构或参数失配的混沌系统同步方法

SYNCHRONIZATION OF CHAOTIC SYSTEMS WITH STRUCTURE OR PARAMETERS MISMATCHING

  • 摘要: 本文讨论了不同结构或具有相同结构但参数失配的混沌系统的同步问题.根据扩张状态观测器的思想构造“扩张系统”以表达结构或参数的差异,并挖掘可测同步误差中所隐含的信息对“扩张系统”的各个状态进行估计,在此基础上设计物理上可实现的控制器,实现了两个具有模型或参数失配的混沌系统的同步.以Lorenz系统和Duffing,VanderPol系统为例进行仿真,同步效果很好.

     

    Abstract: In this paper, the synchronization of chaotic systems with structure or parameters difference is discussed. An extended system is formed based on the extended state observer (ESO), and the states of this system are estimated mining the information wrapped in observable synchronizing error. Then a practicable controller is provided using these estimated states to synchronizing systems with uncertainties such as structure difference or parameter mismatching. The numerical simulations are proposed to show the effectiveness of this method.

     

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