基于事件触发的非线性多智能体系统二分一致性跟踪控制
Event-Triggered Bipartite Consensus Tracking Control for Nonlinear Multi-Agent Systems
摘要: 针对非线性多智能体系统，研究了符号有向图下的基于事件触发的二分一致性跟踪控制问题。分别给出了集中式和分布式的事件触发控制协议。主要利用矩阵理论、代数图论和Lyapunov稳定性理论，证明了所给的控制协议能够解决二分一致性跟踪控制问题，并且不存在Zeno行为。采用事件触发策略，能够有效减少控制输入的更新次数，达到节约网络带宽和降低通信成本的目的。最后，仿真结果验证了理论结果的有效性。
Abstract: This paper investigates the bipartite consensus tracking control problem of nonlinear multi-agent systems under the signed directed graph. The centralized and distributed event-triggered control protocols are presented respectively. By using matrix theory algebraic graph theory and Lyapunov stability theory, it is proved that the proposed control protocol can solve the bipartite consensus tracking control problem, and there is no Zeno behavior. The event-triggered strategy can effectively reduce the update times of control input, and achieve the purpose of saving network bandwidth and reducing communication cost. Finally, the simulation results verify the validity of the theoretical results.
文章引用：童心源, 唐朝君, 谢挺, 唐云. 基于事件触发的非线性多智能体系统二分一致性跟踪控制[J]. 动力系统与控制, 2022, 11(3): 140-150. https://doi.org/10.12677/DSC.2022.113016

参考文献

[1] 刘传达, 孟建良, 庞春江, 等. 多Agent在电力系统中的应用[J]. 电气时代, 2004(8): 72-74.
[2] 刘佳, 陈增强, 刘忠信. 多智能体系统及其协同控制研究进展[J]. 智能系统学报, 2010, 5(1): 1-9.
[3] 夏冰, 胡坚明, 张佐, 等. 基于多智能体的城市交通诱导系统可视化模拟[J]. 系统工程, 2002, 20(5): 72-78.
[4] 邵晋梁, 石磊, 李彤, 张希琳. 合作竞争网络下的多智能体系统链路故障检测[EB/OL]. 中国科学: 信息科学, 2021.
2022-07-26.[CrossRef] 
[5] 潘勇. 多智能体系统一致性与多机器人编队控制研究[D]: [硕士学位论文]. 杭州: 杭州电子科技大学, 2016.
[6] Yang, L. and Jia, Y. (2012) An Iterative Learning Approach to Formation Control of Multi-Agent Systems. Systems & Control Letters, 61, 148-154.
[Google Scholar] [CrossRef] 
[7] Wei, R. (2007) Multi-Vehicle Consensus with a Time-Varying Reference State. Systems & Control Letters, 56, 474-483.
[Google Scholar] [CrossRef] 
[8] 盖彦荣, 陈阳舟, 宋学君, 等. 有领导者线性多智能体系统一致性的分析与设计[J]. 中南大学学报: 自然科学版, 2017, 48(3): 735-741.
[9] Altafini, C. (2013) Consensus Problems on Networks with Antagonistic Interactions. IEEE Transactions on Automatic Control, 58, 935-946.
[Google Scholar] [CrossRef] 
[10] 邵海滨, 潘鹿鹿, 席裕庚, 等. 符号网络下多智能体系统二分一致性的牵制控制问题[J]. 控制与决策, 2019, 34(8): 1695-1701.
[11] Yu, T., Ma, L. and Zhang, H. (2018) Prescribed Performance for Bipartite Tracking Control of Nonlinear Multiagent Systems with Hysteresis Input Uncertainties. IEEE Transactions on Cybernetics, 49, 1327-1338.
[12] Wen, G., Wang, H., Yu, X., et al. (2017) Bipartite Tracking Consensus of Linear Multi-Agent Systems with a Dynamic Leader. IEEE Transactions on Circuits and Systems II: Express Briefs, 65, 1204-1208.
[13] Tabuada, P. (2007) Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks. IEEE Transactions on Automatic Control, 52, 1680-1685.
[Google Scholar] [CrossRef] 
[14] Wei, R. (2007) Multi-Vehicle Consensus with a Time-Varying Reference State. Systems & Control Letters, 56, 474-483.
[Google Scholar] [CrossRef] 
[15] Liu, J., Zhang, Y., Yu, Y., et al. (2018) Fixed-Time Event-Triggered Consensus for Nonlinear Multiagent Systems without Continuous Communications. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 49, 2221-2229.
[16] Yan, H., Shen, Y., Hao, Z., et al. (2014) Decentralized Event-Triggered Consensus Control for Second-Order Multi-Agent Systems. Neurocomputing, 133, 18-24.
[Google Scholar] [CrossRef] 
[17] 黄红伟, 黄天民. 事件触发机制下的多智能体领导跟随一致性[J]. 计算机工程与应用, 2017, 53(6): 29-33.
[18] Hu, W., Lu, L. and Gang, F. (2015) Leader-Following Consensus of Linear Multi-Agent Systems by Distributed Event-Triggered Control. The 34th Chinese Control Conference (CCC2015), Hangzhou, 28-30 July 2015, 7050-7055.
[Google Scholar] [CrossRef] 
[19] Zhong, X., et al. (2012) Event-Triggered Average-Consensus of Multi-Agent Systems with Weighted and Direct Topology. Journal of Systems Science & Complexity, 25, 845-855.
[20] Liu, K.E., et al. (2016) Event-Based Broadcasting Containment Control for Multi-Agent Systems under Directed Topology. International Journal of Control, 89, 2360-2370.
[Google Scholar] [CrossRef] 
[21] 韩文艳. 具有领导者的多智能体系统二部一致性研究[D]: [硕士学位论文]. 哈尔滨: 哈尔滨工程大学, 2021.
[CrossRef] 

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