多智能体系统的实用-分量一致性

doi:10.16088/j.issn.1001-6600.2023041202

广西师范大学学报（自然科学版） ›› 2024, Vol. 42 ›› Issue (1): 139-146.doi: 10.16088/j.issn.1001-6600.2023041202

多智能体系统的实用-分量一致性

隆紫庭^1,2, 马忠军^1,3*, 李科赞^1,2

1.桂林电子科技大学数学与计算科学学院,广西桂林 541004;
2.广西应用数学中心(桂林电子科技大学),广西桂林 541004;
3.广西密码学与信息安全重点实验室(桂林电子科技大学), 广西桂林 541004

收稿日期:2023-04-12 修回日期:2023-05-18 出版日期:2024-01-25 发布日期:2024-01-19
通讯作者: 马忠军(1973—),男,湖南隆回人,桂林电子科技大学教授,博士。E-mail:mzj1234402@163.com
基金资助:
国家自然科学基金(62166010);广西科技计划项目(桂科AD20297006);广西密码学与信息安全重点实验室基金(GCIS202129)

Practical-Component Consensus of Multi-agent Systems

LONG Ziting^1,2, MA Zhongjun^1,3*, LI Kezan^1,2

1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin Guangxi 541004, China;
2. Center for Applied Mathematics of Guangxi (Guilin University of Electronic Technology), Guilin Guangxi 541004, China;
3. Guangxi Key Laboratory of Cryptography and Information Security (Guilin University of Electronic Technology), Guilin Guangxi 541004, China

Received:2023-04-12 Revised:2023-05-18 Online:2024-01-25 Published:2024-01-19

摘要/Abstract

摘要： 实用-分量一致性是指多智能体系统中所有状态变量的一些分量的偏差始终在一个有界区间内波动。本文基于有向网络拓扑探讨一阶非线性领导-跟随多智能体系统的实用-分量一致性问题。首先, 对该系统构造一个分段式牵制控制协议;然后,利用置换矩阵方法,将开始的偏差系统转化为一个新的偏差系统, 将原系统的实用-分量一致性问题转化为新偏差系统中零解的强实用稳定性问题,并借助矩阵理论和稳定性理论等, 导出该系统实现实用-分量一致性的充分条件; 最后, 通过数值模拟验证理论结果的正确性。

关键词: 多智能体系统, 实用一致性, 部分分量一致性, 领导-跟随

Abstract: Practical-component consensus refers to the fact that the error of some components of all state variables in a multi-agent system always fluctuate within a bounded interval. In this paper, the practical-component consensus problem of a first-order nonlinear leader-follower multi-agent system is explored based on a directed network topology. Firstly, a segmented pinning control protocol is constructed for the system. Then, the original error system is transformed into a new error system by using the method of permutation matrix, so that the practical-component consensus problem of the original system is transformed into a strong practical stability problem with zero solutions in the new error system, and the sufficient conditions for the practical-component consensus of the system is derived with the knowledge of matrix theory and stability theory. Finally, the numerical simulation verifies the correctness of the theoretical results.

Key words: multi-agent systems, practical consensus, partial component consensus, leader-following

中图分类号: O231

隆紫庭, 马忠军, 李科赞. 多智能体系统的实用-分量一致性[J]. 广西师范大学学报（自然科学版）, 2024, 42(1): 139-146.

LONG Ziting, MA Zhongjun, LI Kezan. Practical-Component Consensus of Multi-agent Systems[J]. Journal of Guangxi Normal University(Natural Science Edition), 2024, 42(1): 139-146.

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多智能体系统的实用-分量一致性

Practical-Component Consensus of Multi-agent Systems

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