Distributed Fixed-Time Optimization in Economic Dispatch Over Directed Networks

作者：Hao Dai, Jinping Jia, Li Yan, Xinpeng Fang, Weisheng Chen · 发表于：IEEE Transactions on Industrial Informatics · 年份：2021 · DOI：10.1109/tii.2020.3010282 · 被引用次数：112 · 研究领域：Computer Science

A distributed algorithm is presented in this article under directed communication networks, which is used to solve the economic dispatch problem in fixed time in smart grid systems. A new globally fixed-time stability theory (Lemma 3) is first given in this article, which contains a new upper bound for the estimation of the settling time. Moreover, the fixed-time convergence for the proposed algorithm is rigorously proved with the aid of convex optimization theory, the new lemma, and Lyapunov stability theory under the strongly connected and weight-balanced network topology. Finally, numerical simulations show the effectiveness and advantages of the distributed fixed-time optimization algorithm.