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利用一种简单的线性状态反馈方法控制混沌运动 ,引导混沌系统稳定到失稳的平衡点或周期轨道上 ,用劳斯 胡尔维茨稳定判据判定受控系统在平衡点处参数的取值范围 ,同时使用广义Hamilton系统理论的Melnikov方法分析受控系统的周期解 .通过对典型的混沌系统进行数值仿真 ,证实了该控制方法的有效性 .
A simple linear state feedback method is used to control the chaotic motion and guide the chaotic system to the equilibrium or periodic orbit of the instability. The range of parameters of the controlled system at the equilibrium point is judged by the stability criterion of the controlled system. At the same time, Melnikov method of generalized Hamilton system is used to analyze the periodic solution of the controlled system. The numerical simulation of a typical chaotic system proves the effectiveness of the proposed control method.