Chaos Elimination in Fractional-Order Single-Machine-Infinite-Bus Power System Using State-Feedback Control

A fractional-order single-machine-infinite-bus (SMIB) power system model is studied numerically and dynamic behavior of the system is analyzed. The system shows chaotic oscillations when the parameter values or the order of the system dynamics differential equations fall into certain range. A simple state-feedback approach is applied which tends to extract low-periodic orbits from chaotic attractor and hence convert chaos into periodic motion. Numerical simulation results are obtained for robustness analysis against perturbations in initial condition as well as external disturbance which verifies the required control goal.