离散时间分数阶多自主体系统的时延一致性

杨洪勇; 郭雷; 张玉玲; 姚秀明

doi:10.3724/SP.J.1004.2014.02022

离散时间分数阶多自主体系统的时延一致性

doi: 10.3724/SP.J.1004.2014.02022

杨洪勇^1,2, ,,
郭雷²,
张玉玲¹,
姚秀明²

1.
鲁东大学信息与电气工程学院烟台 264025;
2.
北京航空航天大学自动化科学与电气工程学院北京 100191

基金项目:

国家重点基础研究发展计划（973计划）（2012CB720003），国家自然科学基金（91016004，61273152，61203041，61127007），山东省自然科学基金（ZR2011FM017，ZR2013FL007）资助

详细信息

作者简介:
杨洪勇鲁东大学信息与电气工程学院教授.2005年于东南大学自动化系获得工学博士学位，现在北京航空航天大学自动化科学与电气工程学院飞行器控制一体化技术国家级重点实验室做博士后研究工作.主要研究方向为复杂网络，多智能体编队，智能控制.本文通信作者.E-mail：hyyang@yeah.net

通讯作者:
杨洪勇鲁东大学信息与电气工程学院教授.2005年于东南大学自动化系获得工学博士学位，现在北京航空航天大学自动化科学与电气工程学院飞行器控制一体化技术国家级重点实验室做博士后研究工作.主要研究方向为复杂网络，多智能体编队，智能控制.本文通信作者.E-mail：hyyang@yeah.net

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- 被引次数: 0
出版历程
- 收稿日期: 2013-06-17
- 修回日期: 2014-03-14
- 刊出日期: 2014-09-20

Delay Consensus of Fractional-order Multi-agent Systems with Sampling Delays

1.
School of Information and Electrical Engineering, Ludong University, Yantai 264025;
2.
School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191

Funds:

Supported by National Basic Research Program of China (973 Program) (2012CB720003), National Natural Science Foundation of China (91016004, 61273152, 61203041, 61127007), and Natural Science Foundation of Shandong Province (ZR2011FM0 17, ZR2013FL007)

摘要

摘要: 复杂工作环境中，许多自然现象的个体动力学特性用整数阶方程不能描述，只能用非整数阶（分数阶）动力学来描述个体的运动行为. 本文假设多自主体系统内部连接组成有向加权网络，个体的动态特性应用分数阶动力学方程描述，个体之间数据传输存在通信时延. 应用分数阶系统的Laplace变换和频域理论，研究了离散时间的分数阶多自主体系统的渐近一致性. 应用Hermit-Biehler 定理，研究了具有样本时延的分数阶多自主体系统的运动一致性，得到保证系统稳定的时延的上界阈值. 最后应用一个实例对结论进行了验证.
- 多自主体系统 /
- 分数阶 /
- 离散时间 /
- 样本时延 /
- 一致性
Abstract: In the complex practical environments, many distributed multi-agent systems can not be described with the integer-order dynamics and can only be illustrated with the fractional-order dynamics. In this paper, consensus problems of discrete-time networked fractional-order multi-agent systems with sampling delay are investigated. Firstly, the collaborative control of discrete-time multi-agent systems with fractional-order operator is analyzed in a directed network ignoring sampling delay by using Laplace transform and frequency domain. Then, by applying Hermit-Biehler theorem, the consensus of fractional-order multi-agent systems with sampling delay is studied in a misdirected network. A number of consensus conditions for fractional-order systems with sampling delay are obtained. Numerical simulations are shown to illustrate the utility of the theoretical results.
- Multi-agent systems /
- fractional-order /
- discrete time /
- sampling delay /
- consensus

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