复混沌系统的稳态控制

混沌系统的多稳态具有复杂性和非预期性,引起了人们的极大关注,如何针对混沌系统进行稳态控制还没有有效的方法.混沌吸引子是复混沌系统典型的动态特性.本文的主要目标是选择合适的控制方法使复混沌系统在预定的位置范围获得期望的稳态吸引子.本文即针对复混沌稳态吸引子的控制问题,提出了分段函数控制器和比例正弦函数控制器,分别用于实现稳态吸引子的位置控制和形状控制,其中混沌吸引子的位置由分段函数的间隔控制,混沌吸引子的形状由系统参数或正弦函数控制.这两种控制器简单可行,易于实现.最后,通过复Lorenz混沌系统和一个物理实例Duffing振子仿真实验验证了所提出控制器的有效性.

Steady state control of complex chaotic systems

The multistability of chaotic systems is complex and unexpected, which has attracted great attention. There is no effective method to control the steady-state of chaotic system. Chaotic attractor is a typical dynamic characteristic of complex chaotic system. The main goal of this paper is to select an appropriate control method to make the complex chaotic system obtain the desired steady-state attractor in the predetermined position range. This paper aims at the steady-state control of complex chaotic systems, piecewise function controller and proportional sinusoidal function controller are proposed to realize the position control and shape control of steady-state attractor, respectively. The position of the chaotic attractor is controlled by the interval of the piecewise function, and the shape of the chaotic attractor is controlled by system parameters or sinusoidal function. The two controllers are simple, feasible and easy to implement. Finally, the effectiveness of the proposed controller is verified by simulation experiments of the complex Lorenz chaotic system and a physical example of the Duffing oscillator.