受脉冲扰动的多智能体系统的有限时间平均一致性  

Finite-time average consensus for multi-agent systems under impulsive disturbances

作　　者：耿晓鹏 吕晓晓 GENG Xiaopeng;LÜXiaoxiao(School of Automation,Qingdao University,Qingdao 266071,China)

机构地区：[1]青岛大学自动化学院,山东青岛266071

出　　处：《南通大学学报（自然科学版）》2023年第4期79-86,共8页Journal of Nantong University(Natural Science Edition)　

摘　　要：研究了脉冲扰动下具有切换拓扑的多智能体系统的有限时间平均一致。通过使用包括代数图论、有限时间稳定性定理及脉冲控制理论,建立了多智能体系统有限时间一致性的准则,同时估计出受脉冲干扰影响的停息时间。最后,通过一个算例验证了所得结论的有效性。仿真结果表明:脉冲扰动的次数、代数拓扑的连通度及系统的初始条件都会影响停息时间。This study explores finite-time average consensus in multi-agent systems with switching topologies under impulsive disturbances.Utilizing algebraic graph theory,finite-time stability theorems,and impulsive control theory,criteria for finite-time consensus in multi-agent systems are established.Additionally,the quiescent time affected by impulsive disturbances is estimated.The validity of these conclusions is demonstrated through a numerical example.Simulation results indicate that the number of impulsive disturbances,the connectivity of the algebraic topology,and the initial conditions of the system all influence the quiescent time.

关 键 词：多智能体系统 脉冲扰动 有限时间平均一致性 切换拓扑 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]