分数阶多智能体系统一致性问题
Consensus Problem in Fractional-Order Multi-Agent Systems
DOI: 10.12677/aam.2024.137288, PDF,    科研立项经费支持
作者: 宋昱飞：长沙理工大学数学与统计学院，湖南 长沙
关键词: 分数阶多智能体系统；一致性；间歇采样；李亚普诺夫函数；Fractional-Order Multi-Agent Systems； Consensus； Intermittent Sampling； Lyapunov Function
摘要: 本文研究了非线性分数阶多智能体系统中的一致性问题，考虑了间歇采样的情况。首先，通过设计具有间歇采样的控制协议，建立分数阶多智能体的动力学模型。随后，运用图论、李亚普诺夫函数、拉普拉斯变换和逆拉普拉斯变换，解决了具有一个领导者和多个跟随者的一致性问题。最后，我们通过仿真实验，实现了多智能体一致性控制，验证了该方法在实际应用中的有效性和可行性。
Abstract: In this paper, we investigate the consensus problem in nonlinear fractional-order multi-agent systems considering intermittent sampling. Firstly, by designing control protocols with intermittent sampling, the dynamic model of fractional-order multi-agent systems is established. Then, utilizing graph theory, Lyapunov functions, Laplace transform, and inverse Laplace transform, the consensus problem with one leader and multiple followers is addressed. Finally, through simulation examples, multi-agent consensus control is achieved, validating the effectiveness and feasibility of this approach in practical applications.
文章引用：宋昱飞. 分数阶多智能体系统一致性问题[J]. 应用数学进展, 2024, 13(7): 3031-3038. https://doi.org/10.12677/aam.2024.137288

参考文献

[1] Xu, M., An, K., Vu, L.H., Ye, Z., Feng, J. and Chen, E. (2018) Optimizing Multi-Agent Based Urban Traffic Signal Control System. Journal of Intelligent Transportation Systems, 23, 357-369. [Google Scholar] [CrossRef] 
[2] Sene, N. (2020) Stability Analysis of Electrical RLC Circuit Described by the Caputo-Liouville Generalized Fractional Derivative. Alexandria Engineering Journal, 59, 2083-2090. [Google Scholar] [CrossRef] 
[3] Russell Carpenter, J. (2002) Decentralized Control of Satellite Formations. International Journal of Robust and Nonlinear Control, 12, 141-161. [Google Scholar] [CrossRef] 
[4] Lu, Q., Han, Q., Zhong, C., Zhang, B., Wang, J., Liu, S., et al. (2017) Finite-Time Consensus Analysis under Directed Communication Topologies for Multi-Agent Systems. IFAC-PapersOnLine, 50, 619-624. [Google Scholar] [CrossRef] 
[5] Sarkar, N. and Deb, A.K. (2022) Leader-Follower Formation of Second-Order Nonlinear Multi-Agent Systems by Adaptive Neural Networks with Novel Kernel. IFAC-PapersOnLine, 55, 758-764. [Google Scholar] [CrossRef] 
[6] Chen, L., Li, X., Wu, R., Lopes, A.M., Li, X. and Zhu, M. (2022) Guaranteed Cost Consensus for a Class of Fractional-Order Uncertain Multi-Agent Systems with State Time Delay. International Journal of Control, Automation and Systems, 20, 3487-3500. [Google Scholar] [CrossRef] 
[7] Bai, J., Wen, G., Rahmani, A. and Yu, Y. (2015) Distributed Formation Control of Fractional-Order Multi-Agent Systems with Absolute Damping and Communication Delay. International Journal of Systems Science, 46, 2380-2392. [Google Scholar] [CrossRef] 
[8] Wang, X., Wu, H. and Cao, J. (2020) Global Leader-Following Consensus in Finite Time for Fractional-Order Multi-Agent Systems with Discontinuous Inherent Dynamics Subject to Nonlinear Growth. Nonlinear Analysis: Hybrid Systems, 37, Article ID: 100888. [Google Scholar] [CrossRef] 
[9] Yu, Z., Jiang, H. and Hu, C. (2015) Leader-following Consensus of Fractional-Order Multi-Agent Systems under Fixed Topology. Neurocomputing, 149, 613-620. [Google Scholar] [CrossRef] 

为你推荐