Switching between periodic orbits in impact oscillator by time-delayed feedback methods

An ability to exchange between different attractors can bring adaptability and new functionalities an engineering system. While nonlinear controllers are widely used stabilize on a preferred orbit, there is only few which back forth two or more stable periodic responses. This work proposes variation of the original Time-Delayed Feedback (TDF) control method capable effectively switch orbits having limited knowledge system dynamics. The unstable responses that inside outside chaotic attractor be targeted. proposed named here as Fractional Control (FTDF) tested numerically experimentally using newly developed impact oscillator rig. Various including impacting non-impacting orbits, high period chaos considered. main advantages FTDF over TDF presented by showcase scenarios where alone cannot safely perform orbits.