Adaptive Tuning of Feedback Gain in Time-Delayed Feedback Control

Details Adaptive Tuning of Feedback Gain in Time-Delayed Feedback Control Adaptive Tuning of Feedback Gain in Time-Delayed Feedback Control

2011-07-21

arxiv.org/abs/1107.4190v2

Nonlinear Sciences

Adaptation and Self-Organizing Systems

7 pages, 6 figures

Scientific paper

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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