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基于事件触发策略的多智能体系统的最优主-从一致性分析

刘晨 刘磊

刘晨, 刘磊. 基于事件触发策略的多智能体系统的最优主-从一致性分析[J]. 应用数学和力学, 2019, 40(11): 1278-1288. doi: 10.21656/1000-0887.400216
引用本文: 刘晨, 刘磊. 基于事件触发策略的多智能体系统的最优主-从一致性分析[J]. 应用数学和力学, 2019, 40(11): 1278-1288. doi: 10.21656/1000-0887.400216
LIU Chen, LIU Lei. Optimal Leader-Follower Consensus of Multi-Agent Systems Based on the Event-Triggered Strategy[J]. Applied Mathematics and Mechanics, 2019, 40(11): 1278-1288. doi: 10.21656/1000-0887.400216
Citation: LIU Chen, LIU Lei. Optimal Leader-Follower Consensus of Multi-Agent Systems Based on the Event-Triggered Strategy[J]. Applied Mathematics and Mechanics, 2019, 40(11): 1278-1288. doi: 10.21656/1000-0887.400216

基于事件触发策略的多智能体系统的最优主-从一致性分析

doi: 10.21656/1000-0887.400216
基金项目: 国家自然科学基金(面上项目)(61773152);中国博士后科学基金(2016M601698;2017T100318); 江苏省博士后科学基金(面上项目)(1701078B)
详细信息
    作者简介:

    刘晨(1993—),男,硕士生(E-mail: liuchen.com.cn@hhu.edu.cn);刘磊(1983—),男,副教授,博士生导师(通讯作者. E-mail: liulei_hust@163.com).

  • 中图分类号: TP273;O232

Optimal Leader-Follower Consensus of Multi-Agent Systems Based on the Event-Triggered Strategy

Funds: The National Natural Science Foundation of China(General Program)(61773152);China Postdoctoral Science Foundation(2016M601698;2017T100318)
  • 摘要: 研究了具有领导者的线性多智能体系统的主从一致性问题.借助各智能体间的通讯拓扑所构成的无向图,提出一种基于事件触发的自适应动态规划方法,并使用神经网络的逼近性质设计出了近似最优控制.利用Lyapunov稳定性定理,分析了多智能体误差系统的稳定性,并找到一个该误差系统最终有界的充分条件.数值仿真结果进一步验证了理论分析的有效性.
  • [1] SU H, WANG X, LIN Z. Flocking of multi-agents with a virtual leader[J]. IEEE Transactions on Automatic Control,2009,54(2): 293-307.
    [2] JI H, LEWIS F L, HOU Z, et al. Distributed information-weighted Kalman consensus filter for sensor networks[J]. Automatica,2017,77: 18-30.
    [3] HU Q, ZHANG J. Relative position finite-time coordinated tracking control of spacecraft formation without velocity measurements[J]. ISA Transactions,2015,54: 60-74.
    [4] LI H, LIAO X, HUANG T, et al. Event-triggering sampling based leader-following consensus in second-order multi-agent systems[J]. IEEE Transactions on Automatic Control,2015,60(7): 1998-2003.
    [5] WEN G X, CHEN C L P, LIU Y J, et al. Neural-network-based adaptive leader-following consensus control for second-order non-linear multi-agent systems[J]. IET Control Theory & Applications,2015,9(13): 1927-1934.
    [6] DEFOORT M, POLYAKOV A, DEMESURE G, et al. Leader-follower fixed-time consensus for multi-agent systems with unknown non-linear inherent dynamics[J]. IET Control Theory & Applications,2015,9(14): 2165-2170.
    [7] BERTSEKAS D P, TSITSIKLIS J N. Neuro-Dynamic Programming [M]. Belmont, MA: Athena Scientific, 1996.
    [8] PROKHOROV D V, WUNSCH D C. Adaptive critic designs[J]. IEEE Transactions on Neural Networks,1997,8(5): 997-1007.
    [9] MURRAY J J, COX C J, LENDARIS G G, et al. Adaptive dynamic programming[J]. IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews),2002,32(2): 140-153.
    [10] WANG F Y, ZHANG H, LIU D. Adaptive dynamic programming: an introduction[J]. IEEE Computational Intelligence Magazine,2009,4(2): 39-47.
    [11] LI H, LIU D. Optimal control for discrete-time affine non-linear systems using general value iteration[J]. IET Control Theory & Applications,2012,6(18): 2725-2736.
    [12] ABU-KHALAF M, LEWIS F L. Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach[J]. Automatica,2005,41(5): 779-791.
    [13] LIU D, WEI Q. Policy iteration adaptive dynamic programming algorithm for discrete-time nonlinear systems[J]. IEEE Transactions on Neural Networks and Learning Systems,2013,25(3): 621-634.
    [14] ZHANG H, LUO Y, LIU D. Neural-network-based near-optimal control for a class of discrete-time affine nonlinear systems with control constraints[J]. IEEE Transactions on Neural Networks,2009,20(9): 1490-1503.
    [15] QIN C, ZHANG H, LUO Y. Online optimal tracking control of continuous-time linear systems with unknown dynamics by using adaptive dynamic programming[J]. International Journal of Control,2014,87(5): 1000-1009.
    [16] ZHANG H, JIANG H, LUO Y, et al. Data-driven optimal consensus control for discrete-time multi-agent systems with unknown dynamics using reinforcement learning method[J]. IEEE Transactions on Industrial Electronics,2017,64(5): 4091-4100.
    [17] WEN G, CHEN C L P, FENG J, et al. Optimized multi-agent formation control based on an identifier-actor-critic reinforcement learning algorithm[J]. IEEE Transactions on Fuzzy Systems,2018,26(5): 2719-2731.
    [18] ZHAO W, LI R, ZHANG H. Leader-follower optimal coordination tracking control for multi-agent systems with unknown internal states[J]. Neurocomputing,2017,249: 171-181.
    [19] ZHU W, JIANG Z P. Event-based leader-following consensus of multi-agent systems with input time delay[J]. IEEE Transactions on Automatic Control,2015,60(5): 1362-1367.
    [20] TAN X, CAO J, LI X, et al. Leader-following mean square consensus of stochastic multi-agent systems with input delay via event-triggered control[J]. IET Control Theory & Applications,2017,12(2): 299-309.
    [21] TALLAPRAGADA P, CHOPRA N. On event triggered tracking for nonlinear systems[J]. IEEE Transactions on Automatic Control,2013,58(9): 2343-2348.
    [22] DONG L, ZHONG X N, SUN C Y, et al. Event-triggered adaptive dynamic programming for continuous-time systems with control constraints[J]. IEEE Transactions on Neural Networks and Learning Systems,2016,28(8): 1941-1952.
    [23] XU W, HO D W C, LI L, et al. Event-triggered schemes on leader-following consensus of general linear multiagent systems under different topologies[J]. IEEE Transactions on Cybernetics,2015,47(1): 212-223.
    [24] 朱伟, 陈波. 具有领导者的非线性分数阶多智能体系统的一致性分析[J]. 应用数学和力学, 2015,36(5): 555-562.(ZHU Wei, CHEN Bo. Leader-following consensus of fractional-order multi-agent systems with nonlinear models[J]. Applied Mathematics and Mechanics,2015,36(5): 555-562.(in Chinese))
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出版历程
  • 收稿日期:  2019-07-16
  • 修回日期:  2019-10-10
  • 刊出日期:  2019-11-01

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