具有随机通信时延的二阶多智能体系统的一致性控制

doi:10.11772/j.issn.1001-9081.2015.05.1358

计算机应用 ›› 2015, Vol. 35 ›› Issue (5): 1358-1360.DOI: 10.11772/j.issn.1001-9081.2015.05.1358

具有随机通信时延的二阶多智能体系统的一致性控制

宗鑫, 崔艳

山西师范大学物理与信息工程学院, 山西临汾 041000

收稿日期:2014-12-19 修回日期:2015-01-27 出版日期:2015-05-10 发布日期:2015-05-14
通讯作者: 崔艳
作者简介:宗鑫(1990-),女,山西临汾人,硕士研究生,主要研究方向:多智能体系统的一致性; 崔艳(1980-),山西临汾人,讲师,博士,主要研究方向:多智能体系统的一致性.

Consensus of the second-order multi-Agent systems with random time-delays

ZONG Xin, CUI Yan

College of Physics and Information Technology, Shanxi Normal University, Linfen Shanxi 041000, China

Received:2014-12-19 Revised:2015-01-27 Online:2015-05-10 Published:2015-05-14

摘要/Abstract

摘要：

研究了具有随机通信时延的二阶多智能体系统的一致性控制问题.分别讨论了具有固定拓扑结构和变化拓扑结构两种情形下二阶多智能体系统在具有随机通信时延情况下的一致性问题.通过构造Lyapunov函数的方法得到多智能体系统的时延依赖稳定判据,并以线性矩阵不等式(LMI)的形式给出了系统稳定的条件.最后,仿真和实验结果验证了研究所得结论的正确性和有效性.

关键词: 多智能体系统, 一致性, 随机通信时延, Lyapunov函数, 线性矩阵不等式

Abstract:

This paper studied consensus problems for second-order multi-Agent systems with random time-delays. Both networks under the fixed and switching topologies were taken into consideration. The stability criteria of the time-delay dependence of multi-Agent systems was analyzed by constructing a proper Lyapunov function. And sufficient conditions for all Agents achieving the consensus were given in the forms of Liner Matrix Inequality (LMI). Finally, the simulation results show the correctness and effectiveness of the conclusions.

Key words: multi-Agent system, consensus, random time-delay, Lyapunov function, Liner Matrix Inequality (LMI)

中图分类号:

TP13

宗鑫, 崔艳. 具有随机通信时延的二阶多智能体系统的一致性控制[J]. 计算机应用, 2015, 35(5): 1358-1360.

ZONG Xin, CUI Yan. Consensus of the second-order multi-Agent systems with random time-delays[J]. Journal of Computer Applications, 2015, 35(5): 1358-1360.

参考文献

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具有随机通信时延的二阶多智能体系统的一致性控制

Consensus of the second-order multi-Agent systems with random time-delays

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