J. Lehnert et. al. ; 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. ; This work was supported by Deutsche Forschungsgemeinschaft in the framework of SFB 910. J. Lehnert, P. Ho¨ vel, and E. Scho¨ll acknowledge the support by the German-Russian Interdisciplinary Science Center (G-RISC) funded by the German Federal Foreign Office via the German Academic Exchange Service (DAAD). P. Ho¨vel also acknowledges the support by BMBF under the Grant No. 01GQ1001B. P. Guzenko thanks the DAAD program “Michail Lomonosov (B)” for the support of this work. A. L. Fradkov acknowledges the support of Russian Federal Program “Cadres” (goscontracts 16.740.11.0042, 14.740.11.0942) and RFBR (project 11-08-01218). ; Peer reviewed
Adaptive tuning of feedback gain in time-delayed feedback control
2011-01-01
1089-7682
Article (Journal)
Electronic Resource
English
DDC: | 629 |
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