非线性广义分数阶多智能体系统迭代学习趋同控制  

Consensus tracking via iterative learning control for singular nonlinear fractional-order MASs

作　　者：周星宇 王广旭 戴喜生[2] ZHOU Xingyu;WANG Guangxu;DAI Xisheng(School of Electrical Engineering and Automation,Nantong University,Nantong,Jiangsu 226019,China;School of Automation,Guangxi University of Science and Technology,Liuzhou,Guangxi 545006,China)

机构地区：[1]南通大学电气与自动化学院,江苏南通226019 [2]广西科技大学自动化学院,广西柳州545006

出　　处：《中国科技论文》2024年第7期820-830,共11页China Sciencepaper

基　　金：国家自然科学基金资助项目(62363002);国家级大学生创新创业训练项目(202410304031Z);南通大学引进人才启动基金资助项目(135423612054)。

摘　　要：针对一类含有扰动的非线性广义分数阶多智能体系统,研究其在不同通信拓扑协议下闭环Dα型迭代学习一致性趋同跟踪问题。首先,基于分数阶微积分特性及广义的Gronwall不等式,给出非线性广义分数阶多智能体系统在固定通信拓扑下一致性趋同误差收敛的充分条件。然后,将所得到的理论结果推广到通信拓扑随迭代变轴变化的情形,并分析了被控多智能体系统趋同跟踪误差的收敛特性。最后,通过2个数值仿真实例验证了所提闭环Dα型迭代学习趋同控制协议的有效性。The present work aims at the study of the closed-loop Dα-type iterative learning consensus tracking problem under differ⁃ent communication topology protocols of a class of singular nonlinear fractional-order multi-agent systems with disturbances.Firstly,a sufficient condition for the convergence of consensus error of nonlinear generalized fractional-order multi-agent systems under fixed communication topology was given based on the characteristics of fractional calculus and generalized Gronwall inequality.Subsequently,the obtained theoretical results were extended to the case where the communication topology changed with the itera⁃tion axis,and the convergence characteristics of the consensus tracking error of the controlled multi-agent system were analyzed.Finally,the effectiveness of the proposed closed-loop Dα-type iterative learning consensus control protocol was verified by two numerical simulation examples.

关 键 词：迭代学习控制 非线性广义分数阶多智能体系统 收敛性分析 趋同跟踪 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]