多智能体系统基于自适应控制下的二分-分量一致性  

Adaptive pinning control for bipartite-partial component consensus of leader-following multi-agent systems

作　　者：华彩凤 马忠军[1,3] 李科赞 HUA Cai-feng;MA Zhong-jun;LI Ke-zan(School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin 541004,China;Center for Applied Mathematics of Guangxi(GUET),Guilin University of Electronic Technology,Guilin 541004,China;Guangxi Key Laboratory of Cryptography and Information Security,Guilin University of Electronic Technology,Guilin 541004,China)

机构地区：[1]桂林电子科技大学,数学与计算科学学院,广西桂林541004 [2]桂林电子科技大学,广西应用数学中心,广西桂林541004 [3]桂林电子科技大学,广西密码学与信息安全重点实验室,广西桂林541004

出　　处：《控制与决策》2024年第5期1754-1760,共7页Control and Decision

基　　金：国家自然科学基金项目(62166010);广西科技计划项目(AD20297006);广西密码学与信息安全重点实验室项目(GCIS202129)。

摘　　要：二分-分量一致性是指网络系统中部分具有相似特性智能体的某些分量随时间推移趋于相同的值,而剩余智能体的某些分量则随时间趋于相反的值,是一种弱于恒同一致和二分一致的动力学行为.为此,对符号网络上非线性多智能体系统的二分-分量一致性问题展开研究.首先,针对多智能体系统中各智能体之间存在的合作关系或竞争关系,设计有效的自适应牵制控制器;随后,基于Lyapunov稳定性理论和矩阵理论,导出该非线性系统二分-分量一致性得以实现的充分条件;最后,通过数值模拟验证理论结果.Bipartite-partial component consensus refers to a dynamic behavior in which some components of agents with similar characteristics tend to have the same value over time,while some components of remaining agents tend to have opposite values over time.It is weaker than identical consensus and bipartite consensus.In this paper,the bipartite-partial component consensus of nonlinear multi-agent systems on signed networks is investigated.Firstly,an effective adaptive pinning controller is designed for the cooperation or competition among agents in multi-agent systems.Then,based on the Lyapunov stability theory and matrix theory,the sufficient conditions for the realization of the bipartite-partial component consensus of the nonlinear system are derived.Finally,numerical simulation verifies the theoretical results.

关 键 词：网络系统 非线性多智能体系统 自适应控制 二分-分量一致 

分 类 号：O231[理学—运筹学与控制论]