基于量化脉冲控制策略的领导跟随多智能体系统的固定时间一致性  

Fixed-time consensus in leader-following multi-agent system based on quantized impulsive control

作　　者：董鑫淼 李传东[1] 王欣 曹正然 DONG Xinmiao;LI Chuandong;WANG Xin;CAO Zhengran(College of Electronic and Information Engineering,Southwest University,Chongqing 400715)

机构地区：[1]西南大学电子信息工程学院,重庆400715

出　　处：《南京信息工程大学学报（自然科学版）》2021年第1期51-58,共8页Journal of Nanjing University of Information Science & Technology（Natural Science Edition）

基　　金：国家自然科学基金(68873213,61633011);国家重点研发计划(2018AAA0100101)。

摘　　要：本文研究了基于量化脉冲控制的非线性领导跟随多智能体系统的一致性问题.基于矩阵理论、李雅普诺夫函数和利普希茨不等式,给出了若干假设和充分条件.通过构造比较系统,利用微分方程理论,给出了固定时间下的一致性准则,且计算了达到一致需要的时间.最后,选择合适的参数,通过数值仿真验证了理论分析的有效性.This paper considers the consensus problem of nonlinear leader-following multi-agent system under quantized impulsive control.According to matrix theory,Lyapunov function and Lipshitz inequalities,some assumptions and sufficient conditions are given to make sure that the leader-following multi-agent system achieve fixed-time consensus.By constructing comparison system and using differential equations,the criteria for fixed-time consensus are set and the time interval to achieve consensus is calculated.Finally,the above theoretical analyses are verified by a simulation example.

关 键 词：多智能体系统 领导跟随 对数量化器 脉冲效应 固定时间一致性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]