TY - JOUR

T1 - Adaptive tuning of feedback gain in time-delayed feedback control

AU - Lehnert, J.

AU - Hoevel, P.

AU - Flunkert, V.

AU - Guzenko, P. Yu.

AU - Fradkov, A. L.

AU - Schoell, E.

PY - 2011/12

Y1 - 2011/12

N2 - 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. (C) 2011 American Institute of Physics. [doi:10.1063/1.3647320]

AB - 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. (C) 2011 American Institute of Physics. [doi:10.1063/1.3647320]

KW - PERIODIC-ORBITS

KW - CHAOS

KW - SYSTEMS

U2 - 10.1063/1.3647320

DO - 10.1063/1.3647320

M3 - статья

VL - 21

JO - Chaos

JF - Chaos

SN - 1054-1500

IS - 4

M1 - 043111

ER -