离散时间分数阶多自主体系统的时延一致性  

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

作　　者：杨洪勇[1,2] 郭雷[2] 张玉玲[1] 姚秀明[2] 

机构地区：[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

出　　处：《自动化学报》2014年第9期2022-2028,共7页Acta Automatica Sinica

基　　金：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~~

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.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.

关 键 词：多自主体系统 分数阶 离散时间 样本时延 一致性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]