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具有通信时延和有向网络的多智能体分布式优化

杨正全 潘小芳 张青 陈增强

控制理论与应用2021,Vol.38Issue(9):1414-1420,7.
控制理论与应用2021,Vol.38Issue(9):1414-1420,7.DOI:10.7641/CTA.2021.20243

具有通信时延和有向网络的多智能体分布式优化

Distributed optimization of multi-agent with communication delay and directed network

杨正全 1潘小芳 2张青 2陈增强2

作者信息

  • 1. 中国民航大学机场综合交通研究院,天津300300
  • 2. 中国民航大学理学院,天津300300
  • 折叠

摘要

Abstract

This paper studies the distributed optimization problem for the first-order multi-agent systems in unbalanced directed topology. Each agent has a time delay in the communication process with its neighbors. Our goal is to find a state of the agent that minimizes the objective function f (x) =(NΣi=1)fi(xi). A controller based on the left eigenvector corresponding to the zero eigenvalue of L of the graph G and the local information of each agent is proposed. In this study, the bounded requirement of the gradient of fi(xi) is removed, and it does not require the network to be balanced. Under some assumptions, all agents reach the same state while minimizing the objective function (NΣi=1)fi(xi). Finally, a numerical simulation illustrates the results of this article.

关键词

通信时延/多智能体系统/分布式优化/非平衡有向网络

Key words

communication delay/multi-agent systems/distributed optimization/unbalanced directed network

引用本文复制引用

杨正全,潘小芳,张青,陈增强..具有通信时延和有向网络的多智能体分布式优化[J].控制理论与应用,2021,38(9):1414-1420,7.

基金项目

Supported by the National Natural Science Foundation of China(51778615),the Fund of the Airport Comprehensive Transportation Research Institute(Think Tank)and the Civil Aviation University of China(20JCZHJT-4). (51778615)

控制理论与应用

OA北大核心CSCDCSTPCD

1000-8152

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