复杂分数阶多自主体系统的运动一致性

杨洪勇; 郭雷; 张玉玲; 姚秀明

doi:10.3724/SP.J.1004.2014.00489

复杂分数阶多自主体系统的运动一致性

doi: 10.3724/SP.J.1004.2014.00489

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（61127007，61203041，61273152，91016004），山东省自然科学基金（ZR2011FM017，ZR2013FL007）资助

详细信息

作者简介:
郭雷北京航空航天大学自动化学院教授. 1997 年毕业于东南大学自动化系.主要研究方向为鲁棒控制, 随机系统, 故障诊断, 滤波器设计, 航空航天领域中的非线性控制.E-mail：guol@buaa.edu.cn

通讯作者:
杨洪勇

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- 文章访问数: 1872
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- 被引次数: 0
出版历程
- 收稿日期: 2012-12-26
- 修回日期: 2013-05-24
- 刊出日期: 2014-03-20

Movement Consensus of Complex Fractional-order Multi-agent Systems

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 (61127007, 61203041, 61273152, 91016004), Natural Science Foundation of Shandong Province (ZR2011FM017, ZR2013FL007)

摘要

摘要: 复杂环境中，许多自然现象的动力学特性不能应用整数阶方程描述，而只能用分数阶（非整数阶）动力学的智能个体合作行为来解释. 本文假设多自主体系统存在个体差异，采用不同的分数阶动力学特性组成复杂分数混合阶微分方程. 应用分数阶系统的Laplace变换和频域理论，研究了有向网络拓扑下，时延分数混合阶多自主体系统的运动一致性. 由于整数阶系统是分数阶系统的特殊情况，本文的结论可以推广到整数阶与分数阶混合的多自主体系统中. 最后，应用仿真实例对本文结论进行了验证.
- 分数阶 /
- 多自主体系统 /
- 时延 /
- 一致性
Abstract: Due to the complexity of the practical environment, many distributed multi-agent systems can not be illustrated with the integer-order dynamics and can only be described with the fractional-order dynamics. Suppose multi-agent systems will show the individual diversity with the difference agents, where the different fractional-order dynamics are used to illustrate the agent systems and compose complex fractional compounded-order systems. Applying the Laplace transform and frequency domain theory of the fractional-order operator, the consensus of delayed multi-agent systems is studied with directed weighted topologies. Since the integer-order model is a special case of fractional-order model, the results in this paper can be extend to the compounded-order systems with integer-order models and fractional-order models. Finally, simulation examples are used to verify our results.
- Fractional-order /
- multi-agent systems /
- communication delays /
- consensus

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参考文献(36)

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