[1]王晓宇,刘开恩,纪志坚,等.异质多智能体系统二分一致性的充要条件[J].智能系统学报,2020,15(4):679-686.[doi:10.11992/tis.201901008]
 WANG Xiaoyu,LIU Kaien,JI Zhijian,et al.Necessary and sufficient conditions for bipartite consensus of heterogeneous multi-agent systems[J].CAAI Transactions on Intelligent Systems,2020,15(4):679-686.[doi:10.11992/tis.201901008]
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《智能系统学报》[ISSN:1673-4785/CN:23-1538/TP]

卷:
第15卷
期数:
2020年4期
页码:
679-686
栏目:
学术论文—智能系统
出版日期:
2020-07-05

文章信息/Info

Title:
Necessary and sufficient conditions for bipartite consensus of heterogeneous multi-agent systems
作者:
王晓宇1 刘开恩1 纪志坚2 梁静娴1
1. 青岛大学 数学与统计学院,山东 青岛 266071;
2. 青岛大学 自动化工程学院,山东 青岛 266071
Author(s):
WANG Xiaoyu1 LIU Kaien1 JI Zhijian2 LIANG Jingxian1
1. School of Mathematics and Statistics, Qingdao University, Qingdao 266071, China;
2. School of Automation Engineering, Qingdao University, Qingdao 266071, China
关键词:
异质多智能体系统二分一致性规范变换结构平衡连续系统离散系统代数图论矩阵理论
Keywords:
heterogeneous multi-agent systemsbipartite consensusgauge transformationstructural balancecontinuous systemsdiscrete systemsalgebraic graph theorymatrix theory
分类号:
TP18
DOI:
10.11992/tis.201901008
摘要:
针对由一阶智能体和二阶智能体组成的异质多智能体系统的二分一致性问题,对连续和离散系统情形分别设计了二分一致性协议。基于结构平衡的拓扑,通过规范变换实现了从具有敌对关系的系统到具有非负连接权重系统的转化,将二分一致性问题转变为一般一致性问题。进一步,运用代数图论和矩阵理论分析闭环控制系统的动态特性,得到了异质多智能体系统渐近实现二分一致性的充要条件。最后通过数值模拟验证了所得结果的有效性。
Abstract:
To investigate the bipartite consensus problem of heterogeneous multi-agent systems composed of first- and second-order agents, in this study, we designed bipartite consensus protocols for continuous and discrete systems. Based on a structurally balanced topology, we employ gauge transformation to transform a system with antagonistic interactions into one with non-negative connection weights. Accordingly, the bipartite consensus problem is transformed into a general consensus problem. We use algebraic graph theory and matrix theory to analyze the dynamic characteristics of the closed-loop control system and obtain the necessary and sufficient conditions to guarantee that heterogeneous multi-agent systems reach bipartite consensus asymptotically. Finally, we present numerical simulations to illustrate the effectiveness of the obtained theoretical results.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2019-01-08。
基金项目:国家自然科学基金项目(61873136,61603288,61374062);山东省自然科学基金项目(ZR2015FM023,ZR2017MF055);中国博士后科学基金项目(2015M571995)
作者简介:王晓宇,硕士研究生,主要研究方向为多智能体系统协作控制;刘开恩,副教授,博士,主要研究方向为多智能体系统分析与控制。主持山东省自然科学英才基金项目、中国博士后科学基金面上项目和青岛市博士后应用研究项目各1项。发表学术论文20余篇;纪志坚,教授,博士生导师,主要研究方向为群体系统动力学与协调控制、复杂网络、切换动力系统的分析与控制、系统生物以及基于网络的控制系统。主持国家自然科学基金项目3项、山东省杰出青年科学基金项目1项。发表学术论文80余篇
通讯作者:刘开恩.E-mail:kaienliu@pku.edu.cn
更新日期/Last Update: 2020-07-25