Distributed Fixed-Time Optimization in Economic Dispatch Over Directed Networks

被引：85

作者：

Dai, Hao ^{[1
]}

Jia, Jinping ^{[2
]}

Yan, Li ^{[3
]}

Fang, Xinpeng ^{[1
]}

Chen, Weisheng ^{[1
]}

机构：

[1] Xidian Univ, Sch Aerosp Sci & Technol, Xian 710071, Peoples R China

[2] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China

[3] Xidian Univ, Xian 710071, Peoples R China

来源：

IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS | 2021年 / 17卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Optimization; Economics; Smart grids; Convex functions; Informatics; Communication networks; Distributed algorithms; Convex optimization; directed network; distributed algorithm; equality constraint; fixed-time convergence; STABILITY;

D O I：

10.1109/TII.2020.3010282

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：3011 / 3019

页数：9

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