Summary
Time-delayed feedback (TDF) control methods have proven to be robust and versatile for nonlinear dynamical systems. Their abilities to take advantage of the system behaviour without the need of a calibrated model is particularly attractive. Most recently, the TDF control method has been expanded to switch between co-existing orbits. However, we observed that, in some cases, classical TDF control method stabilizes unintended orbits. In this work, we propose a modification of TDF control method to avoid these drawbacks and to guarantee the stabilization of only targeted orbits. We show that our modified control method stabilizes the targeted orbits whilst the classical TDF control fails to do so.
