Münster 1999 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 13: Niedrigdimensionales Chaos
DY 13.2: Vortrag
Montag, 22. März 1999, 11:15–11:30, R1
Influence of control loop latency on time–delayed feedback control — •Wolfram Just1, Dirk Reckwerth2, Ekkehard Reibold2, and Hartmut Benner2 — 1Max Planck Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden — 2Institut für Festkörperphysik, Technische Universität Darmstadt, Hochschulstraße 6, 64289 Darmstadt
Delayed feedback methods constitute simple control schemes which can be applied easily in real experimental situations. Meanwhile several features of such control schemes have been understood even analytically, e. g. that torsion of neighbouring trajectories is important for the scheme to work at all [1] and how an appropriate delay time can be determined from properties of the control signal [2]. As realised recently the success of delayed feedback control methods may be significantly restricted by control loop latency, i. e. by an additional delay which acts on the control force [3]. We show within a linear stability analysis that such a limitation is caused by the shift of frequency splitting points. Our analytical results are in good quantitative agreement with numerical ”exact” calculations of the Toda oscillator and with data from an electronic circuit experiment.
[1] W. Just, T. Bernard, M. Ostheimer, E. Reibold, and H. Benner, Phys. Rev. Lett. 78, 203 (1997)
[2] W. Just, D. Reckwerth, J. Möckel, E. Reibold, and H. Benner, Phys. Rev. Lett. 81, 562 (1998)
[3] D. W. Sukow, M. E. Bleich, D. J. Gauthier, and J. E. S. Socolar, Chaos 7, 560 (1997)