时滞反馈控制中反馈增益的自适应整定
Adaptive Tuning of Feedback Gain in Time-Delayed Feedback Control
摘要：
我们证明了时滞反馈控制可以通过自适应调整反馈增益来改善。该自适应控制器被应用于不稳定不动点和嵌入混沌吸引子中的不稳定周期轨道的镇定。自适应算法的构造使用控制理论的速度梯度法。我们的计算机模拟表明，自适应算法可以找到一个合适的值的反馈增益的单延迟和多延迟。此外，我们表明，我们的方法是强大的噪声和不同的初始条件。
英文摘要：
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.
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