具有外部干扰的离散时间多智能体系统包含控制  

Containment Control of Discrete Time Multi-Agent Systems Under External Disturbances

作　　者：刘东南[1] 李博凡 李玲[2] LIU Dongnan;LI Bofan;LI Ling(College of Science,Hunan University of Technology,Zhuzhou Hunan 412007,China;School of Railway Power Supply and Electric Engineering,Hunan Vocational College of Railway Technology,Zhuzhou Hunan 412006,China)

机构地区：[1]湖南工业大学理学院,湖南株洲412007 [2]湖南铁路科技职业技术学院铁道供电与电气学院,湖南株洲412006

出　　处：《湖南工业大学学报》2021年第6期84-88,共5页Journal of Hunan University of Technology

基　　金：国家自然科学基金资助项目(62073132);湖南省教育厅科研基金资助项目(18C0543)。

摘　　要：对具有外部干扰的高阶线性离散时间多智能体系统的包含控制进行了研究,设计了一种离散时间干扰观测器,利用该观测器提出了基于状态反馈的包含控制协议。运用李雅普诺夫稳定性理论,对该系统进行了收敛性分析,得到了包含达到的条件。最后,利用数值模拟验证了所得理论结果的正确性。A research has been carried out on the containment control of high-order linear discrete-time multi-agent systems under external disturbances,followed by the design of a discrete-time disturbance observer.By using the observer,an containment control protocol based on state feedback has thus been proposed.With Lyapunov stability theory applied,an analysis has been made of the convergence of the system,thus obtaining the conditions for containment.Finally,the validity of the theoretical results is verified by a numerical simulation.

关 键 词：离散时间多智能体系统 包含控制 外部干扰 干扰观测器 

分 类 号：O231[理学—运筹学与控制论]