Time Delayed Feedback Control Applied in an Atomic Force Microscopy (AFM) Model in Fractional-Order

In this work, the nonlinear dynamics and control of an Atomic Force Microscopy (AFM) model in fractional-order were investigated. For analyse of the chaos behaviour, the 0–1 test was used, since this is a good tool to characterise fractional-order differential systems. To bring the system from a chaotic state to a periodic orbit, the time-delayed feedback control technique for the fractional-order systems is applied, thus controlling the chaotic...