Fixed-time frequency control of Kuramoto-oscillator networks with applications to islanded microgrids: A dynamic event-triggered approach

This paper investigates fixed-time frequency synchronization of Kuramoto-oscillator networks under dynamic event-triggered control. Firstly, a general damping coefficient is introduced into the Kuramoto-oscillator model to enhance its practical relevance. Then, a pacemaker-based dynamic event-triggered control scheme is developed, which not only ensures fixed-time convergence to the desired synchronized state, but also rigorously precludes Zeno behavior by guaranteeing a positive lower bound on inter-event intervals. Compared with continuous-time and static event-triggered protocols, the proposed strategy significantly reduces communication frequency and resource consumption. Moreover, an active-frequency equation is proposed to describe the operation of islanded microgrids, and the fixed-time frequency restoration is effectively addressed under the developed control strategy. Finally, numerical simulations on an islanded microgrid are conducted, and the results validate the effectiveness of the proposed approach.