This paper has numerically studied the dynamical behaviors of a fractional-order\nsingle-machine infinite-bus (FOSMIB) power system. Periodic motions, period doubling\nbifurcations and chaotic attractors are observed in the FOSMIB power system.\nThe existence of chaotic behavior is affirmed by the positive largest Lyapunov\nexponent (LLE). Based on the fractional-order backstepping method, an adaptive\ncontroller is proposed to suppress chaos in the FOSMIB power system. Numerical\nsimulation results demonstrate the validity of the proposed controller.
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