Turki J. Alqurashi

Fractional-Order State Feedback Controller to Suppress the Nonlinear Self-Excited Oscillations: Accurate Analytical and Numerical Solution

In this work, an accurate analytical solution is developed for a harmonically excited self-excited nonlinear oscillator under fractional-order state feedback control using a modified version of the Traditional Multiple Scales Method (TMSM), termed the Detuned Multiple Scale Method (DMSM). In contrast to the TMSM, which...