[1]王康,纪志坚,晁永翠.二阶邻居协议下多智能体系统能控能观性保持[J].智能系统学报,2017,12(2):213-220.[doi:10.11992/tis.201601022]
WANG Kang,JI Zhijian,CHAO Yongcui.A control strategy for maitaining controllability and observability of a multi-agent system with the second-order neighborhood protocol[J].CAAI Transactions on Intelligent Systems,2017,12(2):213-220.[doi:10.11992/tis.201601022]
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《智能系统学报》[ISSN 1673-4785/CN 23-1538/TP] 卷:
12
期数:
2017年第2期
页码:
213-220
栏目:
学术论文—智能系统
出版日期:
2017-05-05
- Title:
-
A control strategy for maitaining controllability and observability of a multi-agent system with the second-order neighborhood protocol
- 作者:
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王康, 纪志坚, 晁永翠
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青岛大学 自动化与电气工程学院, 山东 青岛 266071
- Author(s):
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WANG Kang, JI Zhijian, CHAO Yongcui
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School of Automation Engineering, Qingdao University, Qingdao 266071, China
-
- 关键词:
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多智能体系统; 二阶邻居协议; 时变拓扑结构; 结构能控性; 能控性; 能观测性; 图论
- Keywords:
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multi-agent system; second-order neighborhood protocol; time varying topologies; structural controllability; controllability; observability; graph theory
- 分类号:
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TP13
- DOI:
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10.11992/tis.201601022
- 摘要:
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为了研究多智能体系统的一致性特点及能控、能观性保持策略,分析了具有时变拓扑结构的多智能体系统在一阶邻居协议和二阶邻居协议下的一致性速度,针对拓扑结构的特殊性,利用结构能控性性质和拉普拉斯矩阵第二小特征值与一致性速度之间存在的关系设计出一种使能控性和能观测性保持的控制策略。此外,得出多智能体系统在二阶邻居协议下,具有更快的一致性速度的结论。文中2个主要定理分别通过算例和仿真进行验证,算例和仿真结果与定理结论一致。
- Abstract:
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In order to study the characteristics of the consensus, controllability and observability of multi-agent systems, we analyze the consensus speed of a multi-agent system with time-varying topologies under first-order and second-order neighborhood protocols. By utilizing the properties of the structural controllability and the relationship between the second-smallest eigenvalue of the Laplacian matrix and the consensus speed, we designed a control strategy to maintain both controllability and observability. In addition, we concluded that the multi-agent system had a faster consensus speed under the second-order neighborhood protocol. Using examples and simulations, we verified the two main theorems proposed in this paper, with our observed results in full agreement with the conclusions of our theoretical analysis.
备注/Memo
收稿日期:2016-1-13;改回日期:。
基金项目:国家自然科学基金项目(61374062);山东省杰出青年科学基金项目(JQ201419).
作者简介:王康, 男, 1992年生, 硕士研究生, 主要研究方向为多智能体系统的能控性;纪志坚, 男, 1973年生, 教授, 博士生导师, 博士, 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、先后参与多项国家自然科学基金及“973”和“863”项目的研究。发表学术论文70余篇, 其中被SCI检索23篇, EI检索50余篇
通讯作者:纪志坚. E-mail:jizhijian@pku.org.cn.
更新日期/Last Update:
1900-01-01