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Phase-reduction-theory-based treatment of extended delayed feedback control algorithm in the presence of a small time delay mismatch
Phys. Rev. E 86, 026204 – Published 13 August, 2012
DOI: https://doi.org/10.1103/PhysRevE.86.026204
Abstract
The delayed feedback control (DFC) methods are noninvasive, which means that the control signal vanishes if the delay time is adjusted to be equal to the period of a target unstable periodic orbit (UPO). If the delay time differs slightly from the UPO period, a nonvanishing periodic control signal is observed. We derive an analytical expression for this period for a general class of multiple-input multiple-output systems controlled by an extended DFC algorithm. Our approach is based on the phase-reduction theory adapted to systems with time delay. The analytical results are supported by numerical simulations of the controlled Rössler system.
Article Text
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