Adaptive tuning of feedback gain in time-delayed feedback control

J. Lehnert, P. Hoevel, V. Flunkert, P. Yu. Guzenko, A. L. Fradkov, E. Schoell

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

Abstract

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]

Original languageEnglish
Article number043111
Number of pages6
JournalChaos
Volume21
Issue number4
DOIs
StatePublished - Dec 2011

Keywords

  • PERIODIC-ORBITS
  • CHAOS
  • SYSTEMS

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