具有外部扰动的奇异非线性多智能体系统的事件触发跟踪控制
Event-Triggered Leader-Following Consensus of Singular Nonlinear Multi-Agent Systems with External Disturbances
摘要: 针对Lipschitz非线性奇异多智能体系统的事件触发跟踪控制问题，研究了系统在具有外部未知扰动条件下的领导跟随一致性。引入基于采样数据的事件触发函数，有效利用了网络带宽和通信能量，并避免了Zeno行为发生。使用相对输出信息的扩展状态观测器，提出了一种分布式控制协议，在此协议下系统实现领导跟随一致性，并利用奇异系统理论和Lyapunov稳定性方法进行了分析和证明。最后，通过仿真实例验证了所提出方法的有效性。
Abstract: The consensus tracking control problem for singular multi-agent systems with Lipschitz nonline-arities and unknown disturbances is investigated. An event-triggering function based on sampled data is introduced, enabling the effective utilization of network bandwidth and communication energy while avoiding the occurrence of Zeno behavior. An extended state observer using only the relative output information is introduced and then a distributed consensus protocol is proposed. Under this protocol, the system attains leader-following consensus. The stability of the system is an-alyzed and demonstrated using singular system theory and Lyapunov stability methods. Finally, simulation examples are provided to illustrate the theoretical results.
文章引用：张亚光. 具有外部扰动的奇异非线性多智能体系统的事件触发跟踪控制[J]. 理论数学, 2024, 14(2): 695-709. https://doi.org/10.12677/PM.2024.142069

参考文献

[1] Hu, W., Yang, C., Huang, T. and Gui, W. (2018) A Distributed Dynamic Event-Triggered Control Approach to Con-sensus of Linear Multiagent Systems with Directed Networks. IEEE Transactions on Cybernetics, 50, 869-874. [Google Scholar] [CrossRef] 
[2] Tan, X., Cao, J. and Li, X. (2018) Consensus of Lead-er-Following Multiagent Systems: A Distributed Event-Triggered Impulsive Control Strategy. IEEE Transactions on Cybernetics, 49, 792-801. [Google Scholar] [CrossRef] 
[3] 文开妍, 王莉, 冯沙沙, 陈超, 李振双. 时延多智能体系统有限时间分组一致协议设计[J]. 理论数学, 2022, 12(5): 875-885.
[4] Åström, K.J. and Bernhardsson, B. (1999) Comparison of Periodic and Event Based Sampling for First-Order Stochastic Systems. IFAC Proceedings Volumes, 32, 5006-5011. [Google Scholar] [CrossRef] 
[5] Kwon, W.H., Kim, Y.H., Lee, S.J. and Paek, K.N. (1999) Event-Based Modeling and Control for the Burnthrough Point in Sintering Processes. IEEE Transactions on Control Systems Technology, 7, 31-41. [Google Scholar] [CrossRef] 
[6] Tian, Y.P. and Liu, C.L. (2008) Consensus of Multi-Agent Systems with Diverse Input and Communication Delays. IEEE Transactions on Automatic Control, 53, 2122-2128. [Google Scholar] [CrossRef] 
[7] Wang, Y.L. and Han, Q.L. (2018) Network-Based Modelling and Dynamic Output Feedback Control for Unmanned Marine Vehicles in Network Environments. Automatica, 91, 43-53. [Google Scholar] [CrossRef] 
[8] Zhang, Y., Sun, J., Liang, H. and Li., H. (2018) Event-Triggered Adaptive Tracking Control for Multiagent Systems with Unknown Disturbances. IEEE Transactions on Cybernetics, 50, 890-901. [Google Scholar] [CrossRef] 
[9] Ding, L., Han, Q.L. and Sindi, E. (2018) Distributed Coopera-tive Optimal Control of DC Microgrids with Communication Delays. IEEE Transactions on Industrial Informatics, 14, 3924-3935. [Google Scholar] [CrossRef] 
[10] Han, Z., Tang, W.K.S. and Jia, Q. (2020) Event-Triggered Synchronization for Nonlinear Multi-Agent Systems with Sampled Data. IEEE Transactions on Circuits and Systems I: Regular Papers, 67, 3553-3561. [Google Scholar] [CrossRef] 
[11] Zhao, L.N., Ma, H.J., Xu, L.X. and Wang, X. (2019) Observ-er-Based Adaptive Sampled-Data Event-Triggered Distributed Control for Multi-Agent Systems. IEEE Transactions on Circuits and Systems II: Express Briefs, 67, 97-101. [Google Scholar] [CrossRef] 
[12] Zhang, T., Xu, Y. and Sun, J. (2022) Dynamic Event-Triggered Strategies for Tracking Control of Directed Multi-Agent Systems with Lipschitz Nonlinear Dynamics. International Journal of Robust and Nonlinear Control, 32, 8147-8162. [Google Scholar] [CrossRef] 
[13] Karaki, B.J. and Mahmoud, M.S. (2022) Event-Triggered Leader-Following Consensus for a Class of Nonlinear Multiagent Systems with Time-Varying Delay. International Journal of Robust and Nonlinear Control, 32, 3314-3333. [Google Scholar] [CrossRef] 
[14] Shen, Y., Kong, Z. and Ding, L. (2019) Flocking of Multi-Agent System with Nonlinear Dynamics via Distributed Event-Triggered Control. Applied Sciences, 9, Article 1336. [Google Scholar] [CrossRef] 
[15] Huo, S. and Zhang, Y. (2020) Consensus of Markovian Jump Multi-Agent Systems under Multi-Channel Transmission via Output Feedback Control Strategy. ISA Transactions, 99, 28-36. [Google Scholar] [CrossRef] [PubMed]
[16] Guo, X.G., Wang, J.L., Liao, F. and Wang, D. (2015) Quantized Consensus of Multiagent Systems with Quantization Mismatch under Switching Weighted Topologies. IEEE Transactions on Control of Network Systems, 4, 202-212. [Google Scholar] [CrossRef] 
[17] Ding, Z. (2015) Consensus Disturbance Rejection with Disturbance Observers. IEEE Transactions on Industrial Electronics, 62, 5829-5837. [Google Scholar] [CrossRef] 
[18] Wang, C., Zuo, Z., Qi, Z. and Ding, Z. (2018) Predictor-Based Extended-State-Observer Design for Consensus of MASs with Delays and Disturbances. IEEE Trans-actions on Cybernetics, 49, 1259-1269. [Google Scholar] [CrossRef] 
[19] Cao, W., Zhang, J. and Ren, W. (2015) Leader-Follower Con-sensus of Linear Multi-Agent Systems with Unknown External Disturbances. Systems & Control Letters, 82, 64-70. [Google Scholar] [CrossRef] 
[20] Dai, L. (1989) Singular Control Systems. Springer, Berlin. [Google Scholar] [CrossRef] 
[21] Boyd, S., El Ghaoui, L., Feron, E. and Balakrishnan, V. (1994) Linear Matrix Inequalities in System and Control Theory. Society for Industrial and Applied Mathematics, Philadelphia. [Google Scholar] [CrossRef] 
[22] Ioannou, P.A. and Sun, J. (1996) Robust Adaptive Control. PTR Prentice-Hall, Upper Saddle River.

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