状态反馈控制混沌系统

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2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 Linear state feedback control technique is used to guide the typical chaotic trajectories to a

fixed point or periodic solution.　Stability of　unstable fixed point　and unstable periodic solution in the

controlled system is determined by the Routh 2 Hurwitz criterion and Melnikov’s method in generalized

Hamiltonian systems’theory ,　respectively.　Numerical　simulation　results in Lorenz and　Rossler　sys 2

tems fully show the usefulness of the control technique.