时延异构多自主体系统的群一致性分析

doi:10.11772/j.issn.1001-9081.2016.05.1439

计算机应用 ›› 2016, Vol. 36 ›› Issue (5): 1439-1444.DOI: 10.11772/j.issn.1001-9081.2016.05.1439

时延异构多自主体系统的群一致性分析

李向军, 刘成林, 刘飞

江南大学物联网工程学院, 江苏无锡 214122

收稿日期:2015-11-26 修回日期:2016-01-11 出版日期:2016-05-10 发布日期:2016-05-09
通讯作者: 刘成林
作者简介:李向军(1989-),男,山东滕州人,硕士研究生,主要研究方向:多自主体系统的群一致性;刘成林(1981-),男,江苏宿迁人,副教授,博士,主要研究方向:多自主体系统的分散协调控制、非线性控制;刘飞(1965-),男,安徽宣城人,教授,博士,主要研究方向:先进控制、工业过程综合自动化。
基金资助:
国家自然科学基金资助项目(61473138,61104092,61134007);江苏省自然科学基金资助项目(BK20151130);江苏省六大人才高峰项目(2015-DZXX-011)。

Group consensus of heterogeneous multi-Agent systems with time delay

LI Xiangjun, LIU Chenglin, LIU Fei

School of Internet of Things Engineering, Jiangnan University, Wuxi Jiangsu 214122 China

Received:2015-11-26 Revised:2016-01-11 Online:2016-05-10 Published:2016-05-09
Supported by:
This work was supported by the National Natural Science Foundation of China (61473138, 61104092, 61134007), the National Natural Science Foundation of Jiangsu Province(BK20151130).

摘要/Abstract

摘要： 针对由一阶自主体和二阶自主体构成的异构多自主体系统的静态群一致性问题,分别提出了在固定连接拓扑和切换连接拓扑结构下的静态群一致性算法。通过构造Lyapunov-Krasovskii函数,得到了系统在具有相同时变通信时延的群一致性算法作用下渐近收敛群一致的充分条件,并以线性矩阵不等式表示。最后,仿真结果表明,所提算法在满足一定条件下能使时延异构多自主体系统渐近收敛群一致。

关键词: 异构多自主体系统, 群一致性, 时变通信时延, 切换拓扑

Abstract: Concerning the stationary group consensus problem for the heterogeneous multi-Agent systems, which are composed of first-order Agents and second-order Agents, two stationary group consensus protocols were proposed under fixed interconnection topology and switching interconnection topologies respectively. By constructing Lyapunov-Krasovskii functions, the sufficient conditions, which are formulated as linear matrix inequalities, were obtained for the system converging to the group consensus asymptotically under the group consensus algorithm with identical time-varying communication delay. Finally, the simulation results show that the heterogeneous multi-Agent systems with time delay converg to the group consensus asymptotically under certain conditions.

Key words: heterogeneous multi-Agent systems, group consensus, time-varying communication delay, switching topologies

中图分类号:

TP273

李向军, 刘成林, 刘飞. 时延异构多自主体系统的群一致性分析[J]. 计算机应用, 2016, 36(5): 1439-1444.

LI Xiangjun, LIU Chenglin, LIU Fei. Group consensus of heterogeneous multi-Agent systems with time delay[J]. Journal of Computer Applications, 2016, 36(5): 1439-1444.

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时延异构多自主体系统的群一致性分析

Group consensus of heterogeneous multi-Agent systems with time delay

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