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http://dx.doi.org/10.1016/j.physleta.2007.05.081

has been cited by the following article:

• TITLE: Chaos in a Fractional-Order Single-Machine Infinite-Bus Power System and Its Adaptive Backstepping Control

  AUTHORS: Zhanhong Liang, Jinfeng Gao

  KEYWORDS: Power System, Fractional Calculus, Chaos, Backstepping Method

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.5 No.3, September 27, 2016

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