A distributed finite-time optimization algorithm for directed networks of continuous-time agents

被引：5
|
作者：
Wang, Qingling [1 ,2 ,3 ]
Wu, Wenqiang [1 ,2 ]
机构：
[1] Southeast Univ, Sch Automat, Nanjing, Peoples R China
[2] Minist Educ, Key Lab Measurement & Control Complex Syst Engn, Nanjing, Peoples R China
[3] Southeast Univ, Sch Automat, Nanjing 210096, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2024年 / 34卷 / 06期
基金：
中国国家自然科学基金;
关键词：
consensus; continuous-time agents; finite-time optimization; unbalanced graphs; MULTIAGENT SYSTEMS;
D O I：
10.1002/rnc.7176
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This article proposes a new distributed finite-time optimization algorithm for agents under directed graphs. By employing the nonsmooth technique and graph theory, a distributed discontinuous algorithm for continuous-time agents subject to strongly convex local cost functions is first designed with a finite-time distributed estimator, where the gradients of the local cost functions are estimated in finite time. It is shown that for a strongly connected graph and arbitrary initial conditions, the proposed algorithms can achieve consensus, and the systems can converge to the optimal point in finite time. Then, a two-step approach is proposed to achieve finite-time optimization of high-order agents with disturbances under directed graphs. Finally, the validity of the proposed finite-time optimization algorithm is verified by two numerical examples.
引用
收藏
页码：4032 / 4050
页数：19
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