一类异质多智能体系统的一致性控制

doi:10.3724/SP.J.1087.2013.01750

计算机应用 ›› 2013, Vol. 33 ›› Issue (06): 1750-1758.DOI: 10.3724/SP.J.1087.2013.01750

一类异质多智能体系统的一致性控制

冯元珍¹,²,屠小明³,李建祯⁴

1. 南京理工大学自动化学院，南京 210094
2. 南京人口管理干部学院基础部，南京 210042
3. 南京医科大学基础医学院，南京 210029
4. 江苏科技大学电子信息学院, 江苏镇江 212003

收稿日期:2012-12-10 修回日期:2013-01-24 出版日期:2013-06-01 发布日期:2013-06-05
通讯作者: 屠小明
作者简介:冯元珍（1981-），女，山西吕梁人，讲师，博士研究生，主要研究方向：多智能体系统一致性；屠小明（1980-），男，江苏南京人，讲师，博士研究生，主要研究方向：复杂网络、传染病动力学模型稳定性；李建祯（1983-），男，山东济宁人，讲师，博士，主要研究方向：多智能体系统一致性。
基金资助:
国家自然科学基金资助项目（51175135）

Consensus control for a class of heterogeneous multi-Agent systems

FENG Yuanzhen¹,²,TU Xiaoming³,LI Jianzhen⁴

1. Department of Basic Science, Nanjing College for Population Program Management, Nanjing Jiangsu 210042, China
2. School of Automation, Nanjing University of Science and Technology, Nanjing Jiangsu 210094, China
3. School of Basic Medical Science, Nanjing Medical University, Nanjing Jiangsu 210029, China
4. School of Electronics and Information, Jiangsu University of Science and Technology, Zhenjiang Jiangsu 212003, China

Received:2012-12-10 Revised:2013-01-24 Online:2013-06-05 Published:2013-06-01
Contact: TU Xiaoming

摘要/Abstract

摘要： 针对一类由连续时间一阶和二阶智能体组成的异质多智能体系统，首先给出一阶和二阶智能体实现一致性的算法，其次利用图论和矩阵理论相关知识，在固定有向拓扑结构下，给出异质多智能体系统实现一致性的充要条件，且在一致性实现时给出一致性状态的确切表达式；在切换拓扑结构下，给出异质多智能体系统实现一致性的充分条件。最后给出数值算例验证了相关结论的有效性。

关键词: 异质多智能体系统, 一致性, 有向拓扑

Abstract: The consensus problem for a class of heterogeneous multi-Agent systems was investigated in this paper, where the multi-Agent systems were composed of first-order Agents and second-order Agents. First, consensus protocols were proposed for first-order Agents and second-order Agents, respectively. Then, necessary and sufficient condition was presented for heterogeneous multi-Agent systems with fixed and directed communication topology to reach consensus by using tools from graph theory and matrix theory. Besides, the final consensus states were specified if consensus is achieved to the case of fixed communication topology. Furthermore, sufficient condition was derived for heterogeneous multi-Agent systems with switching and directed communication topologies to reach consensus. Finally, a simulation example was given to demonstrate the effectiveness of theoretical results.

Key words: heterogeneous multi-Agent system, consensus, directed topology

中图分类号:

TP13

冯元珍屠小明李建祯. 一类异质多智能体系统的一致性控制[J]. 计算机应用, 2013, 33(06): 1750-1758.

FENG Yuanzhen TU Xiaoming LI Jianzhen. Consensus control for a class of heterogeneous multi-Agent systems[J]. Journal of Computer Applications, 2013, 33(06): 1750-1758.

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一类异质多智能体系统的一致性控制

Consensus control for a class of heterogeneous multi-Agent systems

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