基于直接延迟反馈的混沌反控制

Anticontrol of chaos via direct time delay feedback

在混沌有益时,有目的地产生混沌已经成为混沌学研究的热点问题,本文提出直接延迟反馈实现混沌的反控制,在非混沌系统中产生了混沌.该方法与间接延迟反馈控制方法相比,控制更加简单,更易于实现.该方法与Pyragas提出的延迟反馈混沌控制方法的控制器结构相同,因此,这种直接延迟反馈控制方法可以在需要混沌时产生混沌,不需要混沌时控制混沌,实现混沌控制和反控制的统一,为设计者提供最大的灵活性.针对参数处于非混沌区的Chen系统和Lorenz系统的仿真结果表明了该混沌反控制方法的有效性.

Purposely generating chaos when useful becomes an increasing focus of chaos research. Direct time delay feedback is proposed for anticontrol of chaos, which generates chaos from non-chaotic systems. Compared with the indirect time delay feedback, direct time delay feedback control is simple and easy to realize. The proposed method has the same structure as the time delay feedback method proposed by Pyragas for chaos control, therefore, the proposed method can generate chaos when it is useful, and eliminate chaos, when it is harmful, which will provide the designer with maximum flexibility. Simulations with nonchaotic Chen system and Lorenz system show the effectiveness of the proposed method.