事件触发控制下具有时滞和干扰的多智能体系统固定时间二部一致性

魏小杰; 蒋海军; 于志永

doi:10.13568/j.cnki.651094.651316.2020.10.08.0003

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事件触发控制下具有时滞和干扰的多智能体系统固定时间二部一致性

数理科学 | 更新时间：2026-01-21

- 事件触发控制下具有时滞和干扰的多智能体系统固定时间二部一致性
- 事件触发控制下具有时滞和干扰的多智能体系统固定时间二部一致性
- 新疆大学学报（自然科学版中英文） 2021年38卷第6期页码：641-654
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
  
  天山青年项目(2018Q068);天山雪松项目(2018XS02)~~
- DOI：10.13568/j.cnki.651094.651316.2020.10.08.0003
  中图分类号： TP18
- 纸质出版：2021
- 稿件说明：
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[1]魏小杰,蒋海军,于志永.事件触发控制下具有时滞和干扰的多智能体系统固定时间二部一致性[J].新疆大学学报(自然科学版)(中英文),2021,38(06):641-654.
[1]魏小杰,蒋海军,于志永.事件触发控制下具有时滞和干扰的多智能体系统固定时间二部一致性[J].新疆大学学报(自然科学版)(中英文),2021,38(06):641-654. DOI： 10.13568/j.cnki.651094.651316.2020.10.08.0003.

DOI：10.13568/j.cnki.651094.651316.2020.10.08.0003.

摘要

本文研究了具有时滞和未知干扰的多智能体系统固定时间二部一致性问题.首先

设计了一个固定时间事件触发控制器;然后

利用代数图理论、固定时间稳定性理论和集值李导数

证明系统在控制协议下能够在固定时间内实现二部一致.此外

证明了系统在提出的事件触发算法下不会产生Zeno现象;最后

通过两个数值例子验证了理论分析的正确性.

Abstract

This article studies the fixed-time bipartite consensus problem of multi-agent systems with time delay and unknown interference. First

a fixed-time event-triggered controller is designed. Then

using algebraic graph theory

fixed-time stability theory and set-valued Lie derivative

we prove that the system can achieve bipartite consensus within a fixed time under the control protocol. In addition

the system will not produce Zeno phenomenon under the proposed event-triggered algorithm.Finally

the validity of the theoretical analysis is verified by two numerical examples.

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Keywords

references

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DIMAROGONAS D V, FRAZZOLI E, JOHANSSON K H. Distributed event-triggered control for multi-agent systems[J]. IEEE Transactions on Automatic Control, 2012, 57(5):1291–1297.

LIU J, ZHANG Y L, SUN C Y, et al. Fixed-time consensus of multi-agent systems with input delay and uncertain disturbances via event-triggered control[J]. Information Sciences, 2019, 480:261–272.

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