Fully Distributed Event-Triggered Algorithm for Fixed-Time Economic Dispatch with Input Delay

Traditional distributed optimization is capable of resolving the economic dispatch problem (EDP) in microgrids, but the time lag within information systems is real and cannot be ignored. In the text, We initially propose a new algorithm based on fixed-time consensus to surmount the difficulty posed by input delays, and the time required for fixed-time convergence is not dependent on initial states. Moreover, to decrease the demand for information sharing, an event-triggered control approach is developed to prevent continuous communication, and there is no occurrence of Zeno behavior. Additionally, the dependability of the algorithm is proved through the use of Lyapunov's stability theory. In the end, the efficiency of the presented schemes is demonstrated by multiple case analyses.