Institut für Theoretische Physik, TU Berlin, Hardenbergstraße 36, D-10623 Berlin, Germany.
Chaos. 2011 Dec;21(4):043111. doi: 10.1063/1.3647320.
We demonstrate that time-delayed feedback control can be improved by adaptively tuning the feedback gain. This adaptive controller is applied to the stabilization of an unstable fixed point and an unstable periodic orbit embedded in a chaotic attractor. The adaptation algorithm is constructed using the speed-gradient method of control theory. Our computer simulations show that the adaptation algorithm can find an appropriate value of the feedback gain for single and multiple delays. Furthermore, we show that our method is robust to noise and different initial conditions.
我们证明了通过自适应调整反馈增益可以改进时滞反馈控制。该自适应控制器应用于稳定混沌吸引子中的不稳定平衡点和不稳定周期轨道。自适应算法使用控制理论的速度梯度法构建。我们的计算机模拟表明，该自适应算法可以为单个和多个延迟找到适当的反馈增益值。此外，我们还表明，我们的方法对噪声和不同的初始条件具有鲁棒性。
