带有不确定时变延时的有向网络多智能体平均一致性研究

王朝霞; 杜大军; 费敏锐

doi:10.3724/SP.J.1004.2014.02602

带有不确定时变延时的有向网络多智能体平均一致性研究

doi: 10.3724/SP.J.1004.2014.02602

1.
上海大学机电工程与自动化学院上海 200072;
2.
齐鲁工业大学电气工程与自动化学院济南 250353

基金项目:

Supported by National Natural Science Foundation of China (61074032, 61473182, 61104089), National High Technology Research and Development Program of China (863 Program)(2011AA040103-7), Project of Science and Technology Commission of Shanghai Municipality (10JC1405000, 11ZR1413100,14JC1402200), and Shanghai Rising-Star Program (13QA1401600)

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- 被引次数: 0
出版历程
- 收稿日期: 2013-06-19
- 修回日期: 2013-09-04
- 刊出日期: 2014-11-20

Average Consensus in Directed Networks of Multi-agents with Uncertain Time-varying Delays

1.
Shanghai Key Laboratoy of Power Station Automation Technology, School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200072, China;
2.
School of Electrical Engineering and Automation, Qilu University of Technology, Jinan 250353, China

Funds:

摘要

摘要: 针对带有不确定时变通信延时的有向网络多智能体系统的平均一致性问题,本文首先深入分析了弱连接且平衡的固定/切换拓扑特性.然后,通过分解系统状态变量,建立了初始系统的降维综合模型.考虑降维模型带有不确定时变延时,基于Jensen's不等式和最近提出的新型互凸方法,得到了系统平均一致性的充分条件,特别是,给出了与目前研究结果相比具有更小保守性的时变通信延时上界.最后,数值仿真验证了提出方法的可行性和有效性.
- 平均一致性 /
- 多智能体系统 /
- 不确定时变 /
- 互凸
Abstract: This paper investigates the average consensus problem in directed networks of multi-agent systems with uncertain time-varying delays. Fixed and switching topologies that are kept weakly connected and balanced are firstly analyzed. The original system is then transformed into a reduced dimension model. Based on Jensen0s inequality and reciprocally convex approach, sufficient conditions for average consensus are further presented. Specially, a less conservative upper bound of time-varying communication delays is derived in comparison with the existing results. Numerical examples confirm the effectiveness of the proposed method. Key words Average consensus, multi-agent systems, uncertain time-varying, reciprocally convex
- Average consensus /
- multi-agent systems /
- uncertain time-varying /
- reciprocally convex

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参考文献(37)

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