非线性多智能体系统的指定时间领导跟随一致性  

Prescribed-Time Leader-Follower Consensus for Nonlinear Multi-Agent Systems

作　　者：卢王明 于志永[1] 蒋海军[1] 徐学宁 LU Wangming;YU Zhiyong;JIANG Haijun;XU Xuening(School of Mathematics and System Sciences,Xinjiang University,Urumqi Xinjiang 830017,China)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830017

出　　处：《新疆大学学报（自然科学版）（中英文）》2023年第5期526-533,共8页Journal of Xinjiang University(Natural Science Edition in Chinese and English)

基　　金：supported by the National Natural Science Foundation of the People’s Republic of China“Fixed-time consensus of multi-agent systems with objective optimization”(62003289);“Finite/fixed and prescribed-time distributed optimization consensus of multi-agent systems”(62163035).

摘　　要：研究了非线性多智能体系统在无向和有向网络拓扑下的指定时间领导跟随一致性问题.首先,在无向网络拓扑下提出一种新的分布式控制协议,运用Lyapunov稳定性理论,给出多智能体系统实现指定时间领导跟随一致的相关条件.其次,考虑有向网络拓扑的情况,并给出系统在指定时间内实现领导跟随一致的条件.最后,通过两个例子来验证理论结果的有效性.The prescribed-time leader-follower consensus problems are investigated for nonlinear multi-agent systems(MASs)with undirected and directed network topologies.First of all,a novel distributed control protocol is proposed for MASs with an undirected network topology.Based on Lyapunov stability theory,some sufficient conditions are derived for MASs to achieve leader-follower consensus within a prescribed-time.Moreover,we consider the directed network topology and give some sufficient conditions to ensure the prescribed-time leader-follower consensus.Finally,two examples are given to demonstrate the effectiveness of the main results.

关 键 词：指定时间 多智能体系统 领导跟随一致性 

分 类 号：O231.2[理学—运筹学与控制论]