基于有限外力扰动的OGY控制法

运用传统OGY控制法对混沌系统进行控制时 ,一个明显的缺点是系统进入到受控状态所需要的等待时间太长 ,致使OGY方法的控制效率较低。为此 ,对OGY方法进行了改进 ,提出了一种基于有限外力扰动的OGY控制法 ,即通过对原始系统施加一个有限外力 ,来缩短系统进入受控状态的等待时间 ,从而提高了OGY方法的控制效率。同时 ,对方法的有效性进行了严格的理论分析。最后利用Logistic映射和Henon映射进行了数字模拟 ,验证了该方法的有效性和实用性 ,并展示了OGY方法的一些重要特性。

OGY Control Method Based on Bounded Outer-Force Perturbation

When the conventional OGY method is used to control chaotic systems, an obvious defect is that the waiting time the system needs to enter into the controlled state is too long, which brings about a low control efficiency. To solve this prablem, this paper modifies the conventional OGY method, and proposes a new method called OGY control method based on bounded outer force perturbation. By putting a bounded outer force on the original system, the waiting time is shortened, which improves the control effciency of the OGY method. At the same time, the validity of the suggested method is theoretically analyzed. In the end, the numerical simulation by means of the Logistic map and Henon map is made to verify the effectiveness and feasibility of the method, and show some important characteristics of the OGY method.