Fractional order fixed-time nonsingular terminal sliding mode control for chaotic oscillation in power system

Chaotic oscillation is a harmful phenomenon for power system and it threatens the safe and stable operation of power system. This paper presents fractional order fixed-time nonsingular terminal sliding mode control to suppress chaos in power system. A novel fractional order terminal sliding mode surface is first proposed to guarantee the fixed-time convergence of system states along the sliding surface, and then a nonsingular terminal sliding mode controller is designed to force the system states to reach the sliding surface within fixed-time and stay on it forever. Furthermore, the fixed-time stability and the robustness of the proposed control scheme are proved using the fractional Lyapunov stability theory. Finally, the proposed control scheme is applied to suppress chaos in fractional order power system and simulation results demonstrate the effectiveness of the proposed control scheme.