基于变结构的不确定混沌系统时滞反馈控制

Control of time delay feedback of uncertain chaos systems based on structure variation

针对不确定性混沌系统,提出一种具有很好鲁棒性的时滞反馈控制.应用变结构方法设计控制器,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.以Rossler和Lorenz系统为例,进行数值仿真,结果证明了该方法的有效性.

An unstable periodic orbit (UPO) tracking of uncertain chaotic systems is considered. Time-delayed controller with good robustness is proposed. UPO is fast and successfully tracked via the variable structure control method. The period is achieved by means of gradient descent mechanism so that the accurate period need not known in advance. Finally, Rossler chaos and Lorenz systems have been simulated under the controller proposed. And the results verify the effectiveness and correction of time-delayed feedback controller.