Berlin 2008 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 17: Poster I

DY 17.52: Poster

Tuesday, February 26, 2008, 16:00–18:00, Poster C

Influence of noise on time-delayed feedback control — Tine Brülle, •Klaus Höhne, Markus Appel, and Hartmut Benner — Institut für Festkörperphysik, TU Darmstadt

Time-delayed feedback control is a convenient tool to control chaos in dynamical systems. While the control mechanism is meanwhile well understood and even the role of global properties is presently discussed, the influence of noise on the control performance has still remained an open question. To fill this gap we made control experiments on the diode resonator, which previously has been used as a paradigm to study time-delayed feedback control techniques. Applying different types of noise (additive and multiplicative noise in the controlled system and multiplicative noise in the control loop) we probed the size of the control interval with increasing noise level. The controlled system turned out to be very robust and the control regime was decreased only by very strong noise. Our experimental results were supported by numerical simulations, underlining their general relevance.