Finite time adaptive synchronous control for fractional‐order chaotic power systems

Abstract

As a complex non‐linear system, the chaotic oscillation of power system seriously threatens the safe and stable operation of power grids. In this paper, a finite time adaptive synchronization control method is proposed to mitigate the problem of chaotic oscillation in the power system. The proposed method can realize chaos control and parameter identification by completely synchronizing the fractional‐order chaotic power system with the stable fractional‐order power system to identify parameters within a finite time. The fractional Lyapunov stability theory is used for numerical simulation. Theoretical and simulation results show that this method can effectively stabilize the system in a finite time. It is proved that compared with the adaptive synchronous control method, the control method is simpler in design, shorter in action time, and more meaningful in engineering practice.

A memristive system: dynamics, synchronization, parameter modulation and demodulation

“…The fractional-order delayed memristive fuzzy neural networks was investigated in [13]. Additionally, many synchronization schemes for memristive system have been studied, such as finite-time quantized synchronization method was studied in [14], UDE-based complete synchronization and antisynchronization method was proposed in [15], switching SMC combina tion synchronization and parameter identification method was considered in [16], finite-time H ∞ synchronization method was described in [17], adaptive fuzzy-impulsive synchronization method was focused in [18], active projective synchronization method was described in [19], passive-constrained synchronization control method was given in [20], inverse matrix projective difference synchronization method and its application were investigated in [21], and other synchronization control schemes were described in [22][23][24][25][26]. An image encryption method employing memristive map was introduced in [27].…”