| 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 |
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| 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 |
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| 作者姓名： | 刘晨 刘磊 |
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| 作者单位： | 河海大学 理学院, 南京 211100 |
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| 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) |
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| 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.
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| 关 键 词： | 多智能体系统 主-从一致性 事件触发 自适应动态规划 |
| 收稿时间： | 2019-07-16 |
Optimal Leader-Follower Consensus of Multi-Agent Systems Based on the Event-Triggered Strategy |
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| Affiliation: | College of Science, Hohai University, Nanjing 211100, P.R.China |
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| Abstract: | The leader-follower consensus of linear multi-agent systems was investigated. An event-triggered adaptive dynamic programming method was proposed based on the undirected graph formed by means of the communication topology among agents, and the approximate optimal control was designed with the approximate properties of neural networks. According to the Lyapunov stability theorem, the stability of multi-agent error systems was analyzed, and a sufficient condition for the ultimate boundedness of the error system was found. Finally, numerical simulation results further verify the effectiveness of the theoretical analysis. |
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