基于滑模控制的多智能体系统指定时间一致性

李雪; 于志永; 蒋海军; 陈思宇

doi:10.13568/j.cnki.651094.651316.2021.10.04.0001

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基于滑模控制的多智能体系统指定时间一致性

数理科学 | 更新时间：2026-01-21

- 基于滑模控制的多智能体系统指定时间一致性
- 基于滑模控制的多智能体系统指定时间一致性
- 新疆大学学报（自然科学版中英文） 2022年39卷第5期页码：542-549
- 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：
  
  国家自然科学基金（62003289;62163035）;天池博士项目（TCBS201803）;天山创新团队项目（2020D14017）
- DOI：10.13568/j.cnki.651094.651316.2021.10.04.0001
  中图分类号： O231
- 纸质出版：2022
- 稿件说明：
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[1]李雪,于志永,蒋海军,等.基于滑模控制的多智能体系统指定时间一致性[J].新疆大学学报(自然科学版)(中英文),2022,39(05):542-549.
[1]李雪,于志永,蒋海军,等.基于滑模控制的多智能体系统指定时间一致性[J].新疆大学学报(自然科学版)(中英文),2022,39(05):542-549. DOI： 10.13568/j.cnki.651094.651316.2021.10.04.0001.

DOI：10.13568/j.cnki.651094.651316.2021.10.04.0001.

摘要

基于滑模控制理论研究了一阶多智能体系统的指定时间一致性问题．首先，在无向网络拓扑下设计了新型的积分滑模面并提出了新的控制协议.利用Lyapunov稳定理论和不等式放缩技巧，得到多智能体系统在指定时间内达到滑模面并实现一致的相关条件．其次，研究了有向拓扑上一阶多智能体系统的指定时间一致性．最后，给出两个数值算例来验证理论结果的有效性．

Abstract

In this paper

the prescribed-time consensus problem of first-order multi-agent systems(MASs) is studied based on sliding mode control theory. Firstly

a new integral sliding mode surface is designed and a new control protocol is proposed for undirected network topologies. According to the Lyapunov stability theory and the inequality technique

some conditions for the MASs to reach the sliding mode surface and achieve consensus in prescribed-time are obtained. Secondly

the prescribed-time consensus of first-order MASs on directed network topologies is investigated. Finally

two numerical examples are given to verify the validity of the theoretical results.

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references

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