[1]林瑜阳,李钟慎.离散多智能体系统分组一致性分析[J].华侨大学学报(自然科学版),2017,38(3):306-311.[doi:10.11830/ISSN.1000-5013.201703005]
　LIN Yuyang,LI Zhongshen.Group Consensus Analysis of Discrete-Time Multi-Agent Systems[J].Journal of Huaqiao University(Natural Science),2017,38(3):306-311.[doi:10.11830/ISSN.1000-5013.201703005]
点击复制

离散多智能体系统分组一致性分析()
分享到：

《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第38卷
期数:
2017年第3期
页码:
306-311
栏目:
出版日期:
2017-05-20

文章信息/Info

Title:
Group Consensus Analysis of Discrete-Time Multi-Agent Systems
文章编号:
1000-5013(2017)03-0306-06
作者:
林瑜阳;  李钟慎
华侨大学 机电及自动化学院, 福建 厦门 361021
Author(s):
LIN Yuyang;  LI Zhongshen
College of Mechanical Engineering and Automation, Huaqiao University, Xiamen 361021, China
关键词:
多智能体系统;  离散时间系统;  入度平衡;  分组一致性
Keywords:
multi-agent systems;  discrete-time systems;  in-degree balanced;  group consensus
分类号:
TP273
DOI:
10.11830/ISSN.1000-5013.201703005
文献标志码:
A
摘要:
在有向拓扑结构下,研究离散多智能体系统的分组一致问题,提出无入度平衡假设条件的控制协议设计方法.首先,根据系统模型,设计离散多智能体系统的分组一致控制协议.其次,利用代数图论和矩阵论,分析并得到离散多智能体系统实现分组一致的充要条件.最后,仿真结果验证了理论分析结论的正确性.数值仿真结果表明:系统实现分组一致仅要求有向图Gn含有一个有向生成树,不要求拓扑结构满足入度平衡条件.
Abstract:
In this paper, the protocol design method without in-degree balanced assumption was presented under the directed graph topology to investigate the grouping consensus problem for a class of discrete-time multi-agent systems. Firstly, based on the model of discrete-time multi-agent systems, a grouping consensus protocol was designed. Then, according to the algebraic graph theory and the matrix theory, the grouping consensus problem was studied. The sufficient and necessary condition of group consensus for the discrete-time multi-agent systems was obtained. Finally, simulation results demonstrated that the grouping consensus of the systems only required that the directed graph Gn had a direct spanning tree however the in-degree balanced assumption was not necessary.

参考文献/References:

[1] COUZIN I D,KRAUSE J,JAMES R,et al.Collective memory and spatial sorting in animal groups[J].Journal of Theoretical Biology,2002,218(1):1-11.
[2] PARRISH J K,VISCIDO S V,GRUNBAUM D.Self-organized fish schools: An examination of emergent properties[J].Biology Bull,2002,202(2):296-305.
[3] 唐贤伦,张衡,周家林,等.基于多Agent混沌粒子群优化的磁悬浮系统PID控制器[J].信息与控制,2013,42(6):758-764.
[4] WERFEL J,PETERSEN K,NAGPAL R.Designing collective behavior in a termite-inspired robot construction team[J].Science,2014,343(6172):754-758.
[5] SHARMA A,SRIVASTAVA S C,CHAKRABARTI S.Multi-agent-based dynamic state estimator for multi-area power system[J].IET Generation, Transmission and Distribution,2016,10(1):131-141.
[6] VICSEK T,CZIROOK A,BEN-JACOB E,et al.Novel type of phase transition in a system of self-driven particles[J].Physical Review Letters,1995,75(6):1226-1229.
[7] OLFATI-SABER R,MURRAY R M.Consensus problems in networks of agents with switching topology and time-delays[J].IEEE Transactions on Automatic Control,2004,49(9):1520-1533.
[8] XIE Guangming,WANG Long.Consensus control for a class of networks of dynamic agents[J].International Journal of Robust and Nonlinear Control,2007,17(10/11):941-959.
[9] YU Wenwu,CHEN Guanrong,CAO Ming,et al.Second-order consensus for multi-agent systems with directed topologies and nonlinear dynamics[J].IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics,2010,40(3):881-891.
[10] 许耀赆,田玉平.线性及非线性一致性问题综述[J].控制理论与应用,2014,31(7):837-849.
[11] YU Junyan,WANG Long.Group consensus in multi-agent systems with switching topologies and communication delays[J].System and Control Letters,2010,59(6):330-348.
[12] YU Junyan,WANG Long.Group consensus of multi-agent systems with undirected communication exchange[J].International Journal of Systems Science,2012,43(2):334-348.
[13] 王强,王玉振,杨仁明.一类多智能体系统分组一致控制协议的设计与分析[J].控制与决策,2013,28(3):369-373,378.
[14] XIA Hong,HUANG Tingzhu,SHAO Jinliang,et al.Group consensus of multi-agent systems with communication delays[J].Neurocomputing,2016(171):1666-1673.
[15] XIA Weiguo,CAO Ming.Clustering in diffusively coupled networks[J].Automatica,2011,47(11):2395-2405.
[16] WANG Yuzhen,ZHANG Chenghui,LIU Zhenbin.A matrix approach to graph maximum stable set and coloring problems with application to multi-agent system[J].Automatica,2012,48(7):1227-1236.
[17] 纪良浩,廖晓峰,刘群.时延多智能体系统分组一致性分析[J].物理学报,2012,61(22):5-12.
[18] QIN Jiahu,YU Changbin.Cluster consensus control of generic linear multi-agent systems under directed topology with acyclic partition[J].Automatica,2013,49(2):2898-2905.
[19] HORN R A,JOHNSON C R.Matrix analysis[M].Cambridge:Cambridge University Press,1985:344,498,503.

相似文献/References:

[1]康赐荣.系统可控性与可观性的计算机判定[J].华侨大学学报(自然科学版),1985,6(3):347.[doi:10.11830/ISSN.1000-5013.1985.03.0347]
　Kang Cirong.Computer Determination of Controlability and Observability[J].Journal of Huaqiao University(Natural Science),1985,6(3):347.[doi:10.11830/ISSN.1000-5013.1985.03.0347]

备注/Memo

备注/Memo:
收稿日期: 2016-04-11
通信作者: 李钟慎(1971-),男,教授,博士,主要从事先进控制理论与控制工程的研究.E-mail:lzscyw@hqu.edu.cn.
基金项目: 福建省自然科学基金资助项目(2013J05077); 中央高校基本科研业务基金资助项目(JB-ZR1107); 福建省厦门市集美区科技计划项目(20137C01); 华侨大学研究生科研创新能力培育计划项目(2014年度)
更新日期/Last Update: 2017-05-20