基于状态反馈和参数调整稳定混沌系统的不稳定平衡点

Stabilizing Unstable Equilibria of Chaotic Systems Based on State Feedback and Parameter Adjustment

  • 摘要: 针对OGY方法需要预先找到系统的一个可调参数的不足,基于状态反馈和参数调整,提出了稳定混沌系统不稳定平衡点的一种简单控制方法.根据线性控制理论选择控制参数,并研究了设计控制参数的准则.该方法不需系统的动力学知识,也不需要系统内部的任何控制参数.仿真结果验证了该方法的有效性.

     

    Abstract: In order to cover the shortage of OGY method that needs an adjustable parameter of the system in(advance,) a simple control method based on state feedback and parameter adjustment is proposed to stabilize the unstable equilibria of chaotic systems.The control parameter can be selected via linear control theory,and criteria for the(design) of the control parameters are also investigated.The proposed method needs neither the prior knowledge about the dynamical equations governing the system,nor any internal controlling parameters of the system.Simulation result validates the effectiveness of the proposed method.

     

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