混沌系统的周期反馈控制与动态控制方法研究

Studies on Period-feedback and Dynamic Controls of Chaotic Systems

分析Lorenz系统的非线性动力学行为的稳定特性 ,提出一个强度周期反馈控制器 ,采用周期反馈控制方法对Lorenz系统的混沌行为进行了控制 ,并对混沌控制过程进行了理论分析与数值仿真 ,该方法能把Lorenz混沌系统控制到某一平衡态或某一周期态上 .通过实时改变控制参数 ,研究了几个典型物理状态变化现象 ,丰富了Lorenz混沌系统的应用方法 .

The nonlinear dynamics characteristics and stability of the Lorenz system are analyzed by adopting nonlinear control theory. A method for designing the strength-period-feedback controller is put forward. The chaotic behaviors of the Lorenz system are controlled by chaotic control methods which are called period feedback control. Theories of these methods are analyzed and simulated numerically. By using the method, the chaotic systems can be controlled in some equilibrium states or some vibrational cyclical states. With the change of control parameters, the typical variation of physical state is studied to expand the applications of Lorenz chaotic systems.