Distributed finite-time optimization for networked Euler–Lagrange systems under a directed graph

IF 17.7 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-05-10 DOI:10.1177/01423312241248250

Yuan Liu, Pinxiao Liu, Bing Zhang

引用次数: 0

Abstract

In this paper, we investigate the finite-time distributed optimization problem for multiple Euler–Lagrange systems. A new distributed optimization control scheme is presented to achieve the state agreement in finite time while minimizing the sum of each agent’s local cost function. The proposed algorithm has the advantage of being able to achieve distributed finite-time optimization consensus under general unbalanced connected directed communication graphs. By virtue of finite-time Lyapunov theory and convex optimization, the finite-time convergence for the algorithm is analyzed. A numerical example is also presented to illustrate the effectiveness of the obtained results.

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有向图下网络化欧拉-拉格朗日系统的分布式有限时间优化

本文研究了多个欧拉-拉格朗日系统的有限时间分布式优化问题。本文提出了一种新的分布式优化控制方案，以在有限时间内实现状态一致，同时最小化每个代理的局部成本函数之和。所提算法的优点是能在一般不平衡连接有向通信图下实现分布式有限时间优化共识。通过有限时间李亚普诺夫理论和凸优化，分析了算法的有限时间收敛性。此外，还给出了一个数值示例来说明所获结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.