Journal of Guangdong University of Technology ›› 2023, Vol. 40 ›› Issue (01): 50-55.doi: 10.12052/gdutxb.210064

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Leader-following Consensus of Nonlinear Multi-agent Systems with ROUs and RONs via Event-triggered Impulsive Control

Gu Zhi-hua, Peng Shi-guo, Huang Yu-jia, Feng Wan-dian, Zeng Zi-xian   

  1. School of Automation, Guangdong University of Technology, Guangzhou 510006, China
  • Received:2021-04-25 Online:2023-01-25 Published:2023-01-12

Abstract: In term of the event-trigger impulsive mechanism, this paper designs a new event triggering function based on the Lyapunov function, and the leader-following consensus of multi-agent systems with randomly occurring uncertainties and randomly occurring nonlinearities is studied. Different from the control method of artificially setting the impulse time sequence, the generation of the impulsive moment depends on the designed triggering function, and when the trigger condition is met, the impulsive control is activated to reduce unnecessary control times and resource consumption. Based on impulsive differential equation theory, algebraic graph theory, and Lyapunov stability theory, the sufficiency conditions that controlled multi-agent systems can achieve the leader-following consensus are given. Meanwhile, the Zeno behavior can be excluded. Finally, the feasibility of the obtained results is verified by a numerical example.

Key words: randomly occurring uncertainties, randomly occurring nonlinearities, multi-agent systems, event-triggered impulsive control, leader-following consensus

CLC Number: 

  • TP273
[1] OLFATI-SABER R, FAX J A, MURRAY R M. Consensus and cooperation in networked multi-agent systems [J]. Proceedings of the IEEE, 2007, 95(1): 215-233.
[2] YU W, ZHENG W X, CHEN G, et al. Second-order consensus in multi-agent dynamical systems with sampled position data [J]. Automatica, 2011, 47(7): 1496-1503.
[3] ZHENG Y, ZHAO Q, MA J, et al. Second-order consensus of hybrid multi-agent systems [J]. Systems & Control Letters, 2019, 125: 51-58.
[4] 张弘烨, 彭世国. 基于模型简化法的含有随机时延的多智能体系统一致性研究[J]. 广东工业大学学报, 2019, 36(2): 86-90.
ZHANG H Y, PENG S G. A research on the consensus problem of multi-agent systems with random time delays based on model reduction [J]. Journal of Guangdong University of Technology, 2019, 36(2): 86-90.
[5] WANG T, ZHANG H, ZHAO Y. Average consensus of multi-agent systems under directed topologies and binary-valued communications [J]. IEEE Access, 2018, 6: 55995-56006.
[6] 张振华, 彭世国. 二阶多智能体系统拓扑切换下的领导跟随一致性[J]. 广东工业大学学报, 2018, 35(2): 75-80.
ZHANG Z H, PENG S G. Leader-following consensus of second-order multi-agent systems with switching topology [J]. Journal of Guangdong University of Technology, 2018, 35(2): 75-80.
[7] WANG X, SU H. Self-triggered leader-following consensus of multi-agent systems with input time delay [J]. Neurocomputing, 2019, 330: 70-77.
[8] DAI J, GUO G. Event-triggered leader-following consensus for multi-agent systems with semi-Markov switching topologies [J]. Information Sciences, 2018, 459: 290-301.
[9] DING L, HAN Q L, GUO G. Network-based leader-following consensus for distributed multi-agent systems [J]. Automatica, 2013, 49(7): 2281-2286.
[10] HU J, WANG Z, GAO H, et al. Robust sliding mode control for discrete stochastic systems with mixed time delays, randomly occurring uncertainties, and randomly occurring nonlinearities [J]. IEEE Transactions on Industrial Electronics, 2011, 59(7): 3008-3015.
[11] HU M, GUO L, HU A, et al. Leader-following consensus of linear multi-agent systems with randomly occurring nonlinearities and uncertainties and stochastic disturbances [J]. Neurocomputing, 2015, 149: 884-890.
[12] LI D, MA J, ZHU H, et al. The consensus of multi-agent systems with uncertainties and randomly occurring nonlinearities via impulsive control [J]. International Journal of Control, Automation and Systems, 2016, 14(4): 1005-1011.
[13] XU Y J, PENG S G, GUO A Y. Leader-following consensus of nonlinear delayed multi-agent systems with randomly occurring uncertainties and stochastic disturbances under impulsive control input [J]. International Journal of Control, Automation and Systems, 2018, 16(2): 566-576.
[14] HU G. Robust consensus tracking for an integrator-type multi-agent system with disturbances and unmodelled dynamics [J]. International Journal of Control, 2011, 84(1): 1-8.
[15] HE W, CHEN G, HAN Q L, et al. Network-based leader-following consensus of nonlinear multi-agent systems via distributed impulsive control [J]. Information Sciences, 2017, 380: 145-158.
[16] DIMAROGONAS D V, JOHANSSON K H. Event-triggered control for multi-agent systems[C]//Proceedings of the 48h IEEE Conference on Decision and Control (CDC) Held Jointly with 2009 28th Chinese Control Conference. Shanghai : IEEE, 2009: 7131-7136.
[17] LIU B, LIU D N, DOU C X. Exponential stability via event-triggered impulsive control for continuous-timedynamicalsystems[C]//Proceedings of the 33rd Chinese Control Conference. Nanjing : IEEE, 2014: 4056-4060.
[18] TAN X, CAO J, LI X. Consensus of leader-following multiagent systems: a distributed event-triggered impulsive control strategy [J]. IEEE Transactions on Cybernetics, 2018, 49(3): 792-801.
[19] LI X, PENG D, CAO J. Lyapunov stability for impulsive systems via event-triggered impulsive control [J]. IEEE Transactions on Automatic Control, 2020, 65(11): 4908-4913.
[20] ZHANG Z Z, PENG S G, LIU D R, et al. Leader-following mean-square consensus of stochastic multiagent systems with ROUs and RONs via distributed event-triggered impulsive control [J]. IEEE Transactions on Cybernetics, 2022, 52(3): 1836-1849.
[21] CHEN T, PENG S G, ZHANG Z Z. Finite-time consensus of leader-following non-linear multi-agent systems via event-triggered impulsive control [J]. IET Control Theory & Applications, 2021, 15(7): 926-936.
[22] WANG Z, LAURIA S, LIU X. Exponential stability of uncertain stochastic neural networks with mixed time-delays [J]. Chaos, Solitons & Fractals, 2007, 32(1): 62-72.
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