一类不确定混沌系统时滞反馈控制

Time delay feedback control of uncertain chaos systems

针对一类不确定性混沌系统,提出了一种具有很好鲁棒性的时滞反馈控制。基于Lyapunov稳定性理论,设计了控制器,实现了快速跟踪混沌系统的不稳定周期轨道。利用梯度下降法获得不稳定周期值,解决了需要预先知道不稳定周期的困难。最后,以Lorenz系统为例,进行了数值仿真,结果证明了该方法的有效性。

A time-delay feedback system with good robustness is put forward for the uncertain chaos systems. A controller is designed based on Lyapunov stability theory, and an unstable periodic orbit （UPO） tracking of uncertain chaotic systems is considered. The period is achieved by means of gradient descent mechanism so that it not necessary to get the accurate period in advance. Finally, digital simulation is carried out for Lorenz system with the controller proposed. And the results verify the effectiveness of time - delay feedback controller.