复杂分数阶多自主体系统的运动一致性  

Movement Consensus of Complex Fractional-order Multi-agent Systems

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3期489-496,共8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(61127007;61203041;61273152;91016004);山东省自然科学基金(ZR2011FM017;ZR2013FL007)资助~~

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.Due to the complexity of the practical environment, many distributed multi-agent systems can not be illus- trated 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.

关 键 词：分数阶 多自主体系统 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]