This paper investigates the consensus control problem for a class of nonlinear multi-agent systems (MASs) with communication link faults and denial-of-service (DoS) attacks. First, considering simultaneously the communication link faults and DoS attacks, an adaptive event-triggered control strategy of MASs is proposed based on distributed adjacency error signals, and the avoidance of the Zeno phenomenon is analyzed. In addition, the unknown nonlinear functions can be approximated by the RBF neural networks. Then, based on Lyapunov stability analysis and induction, it is proved that all signals of MASs are uniformly ultimately bounded (UUB). Finally, the effectiveness of the proposed control scheme is verified by a simulation example.
Citation: Yanming Wu, Zelun Wang, Guanglei Meng, Jinguo Liu. Neural networks-based event-triggered consensus control for nonlinear multiagent systems with communication link faults and DoS attacks[J]. AIMS Electronics and Electrical Engineering, 2024, 8(3): 322-339. doi: 10.3934/electreng.2024015
This paper investigates the consensus control problem for a class of nonlinear multi-agent systems (MASs) with communication link faults and denial-of-service (DoS) attacks. First, considering simultaneously the communication link faults and DoS attacks, an adaptive event-triggered control strategy of MASs is proposed based on distributed adjacency error signals, and the avoidance of the Zeno phenomenon is analyzed. In addition, the unknown nonlinear functions can be approximated by the RBF neural networks. Then, based on Lyapunov stability analysis and induction, it is proved that all signals of MASs are uniformly ultimately bounded (UUB). Finally, the effectiveness of the proposed control scheme is verified by a simulation example.
[1] | Lui D, Petrillo A, Santini S (2022) Leader tracking control for heterogeneous uncertain nonlinear multi-agent systems via a distributed robust adaptive PID strategy. Nonlinear Dyn 108: 363–378. https://doi.org/10.1007/s11071-022-07240-w doi: 10.1007/s11071-022-07240-w |
[2] | Zou W, Ahn C, Xiang Z (2019) Event-triggered consensus tracking control of stochastic nonlinear multiagent systems. IEEE Syst J 13: 4051-4059. https://doi.org/10.1109/JSYST.2019.2910723 doi: 10.1109/JSYST.2019.2910723 |
[3] | Wang X, Yang G (2020) Fault-tolerant consensus tracking control for linear multiagent systems under switching directed network. IEEE Trans Cybern 50: 1921-1930. https://doi.org/10.1109/TCYB.2019.2901542 doi: 10.1109/TCYB.2019.2901542 |
[4] | Chen C, Lewis F, Li X (2022) Event-triggered coordination of multi-agent systems via a Lyapunov-based approach for leaderless consensus. Automatica 136: Art. no. 109936. https://doi.org/10.1016/j.automatica.2021.109936 doi: 10.1016/j.automatica.2021.109936 |
[5] | Wang J, Li Y, Wu Y, Liu Z, Chen K, Chen CP (2024) Fixed-time formation control for uncertain nonlinear multiagent systems with time-varying actuator failures. IEEE Trans Fuzzy Syst 32: 1965-1977. https://doi.org/10.1109/TFUZZ.2023.3342282 doi: 10.1109/TFUZZ.2023.3342282 |
[6] | Wu Y, Wang Z (2021) Fuzzy adaptive practical fixed-time consensus for second-order nonlinear multiagent systems under actuator faults. IEEE Trans Cybern 51: 1150-1162. https://doi.org/10.1109/TCYB.2019.2963681 doi: 10.1109/TCYB.2019.2963681 |
[7] | Zhao M, Peng C, Tian E (2021) Finite-time and fixed-time bipartite consensus tracking of multi-agent systems with weighted antagonistic interactions. IEEE Trans Circuits Syst I Regul Pap 68: 426-433. https://doi.org/10.1109/TCSI.2020.3027327 doi: 10.1109/TCSI.2020.3027327 |
[8] | Wang J, Liu J, Li Y, Chen CP, Liu Z, Li F (2023) Prescribed time fuzzy adaptive consensus control for multiagent systems with dead-zone input and sensor faults. IEEE Trans Autom Sci Eng. https://doi.org/10.1109/TASE.2023.3291716 doi: 10.1109/TASE.2023.3291716 |
[9] | Zhang J, Yang Q, Shi G, Lu Y, Wu Y (2021) UAV cooperative air combat maneuver decision based on multi-agent reinforcement learning. J Syst Eng Electron 32: 1421-1438. https://doi.org/10.23919/JSEE.2021.000121 doi: 10.23919/JSEE.2021.000121 |
[10] | Liu L, Li B, Guo R (2021) Consensus control for networked manipulators with switched parameters and topologies. IEEE Access 9: 9209-9217. https://doi.org/10.1109/ACCESS.2021.3049261 doi: 10.1109/ACCESS.2021.3049261 |
[11] | Rui W, Qiuye S, Dazhong M, Xuguang H (2020) Line impedance cooperative stability region identification method for Grid-Tied inverters under weak grids. IEEE Trans Smart Grid 11: 2856-2866. https://doi.org/10.1109/TSG.2020.2970174 doi: 10.1109/TSG.2020.2970174 |
[12] | Zhao PY, Wu CC, Li YM (2023) Design and application of solar sailing: a review on key technologies. Chin J Aeronaut 36: 125-144. https://doi.org/10.1016/j.cja.2022.11.002 doi: 10.1016/j.cja.2022.11.002 |
[13] | Lin G, Li H, Ma H, Yao D, Lu R (2022) Human-in-the-loop consensus control for nonlinear multi-agent systems with actuator faults. IEEE-CAA J Automatica Sin 9: 111-122. https://doi.org/10.1109/JAS.2020.1003596 doi: 10.1109/JAS.2020.1003596 |
[14] | Liu C, Jiang B, Zhang K, Patton RJ (2021) Distributed fault-tolerant consensus tracking control of multi-agent systems under fixed and switching topologies. IEEE Trans Circuits Syst I Regul Pap 68: 1646-1658. https://doi.org/10.1109/TCSI.2021.3049347 doi: 10.1109/TCSI.2021.3049347 |
[15] | Liu Y, Yang G (2019) Fixed-time fault-tolerant consensus control for multi-agent systems with mismatched disturbances. Neurocomputing 366: 154-160. https://doi.org/10.1016/j.neucom.2019.07.093 doi: 10.1016/j.neucom.2019.07.093 |
[16] | Wang J, Gong Q, Huang K, Liu Z, Chen CP, Liu J (2023) Event-triggered prescribed settling time consensus compensation control for a class of uncertain nonlinear systems with actuator failures. IEEE Trans Neural Netw Learn Syst 34: 5590-5600. https://doi.org/10.1109/TNNLS.2021.3129816 doi: 10.1109/TNNLS.2021.3129816 |
[17] | Sakthivel R, Sakthivel R, Kaviarasan B, Lee H, Lim Y (2019) Finite-time leaderless consensus of uncertain multi-agent systems against time-varying actuator faults. Neurocomputing 325: 159-171. https://doi.org/10.1016/j.neucom.2018.10.020 doi: 10.1016/j.neucom.2018.10.020 |
[18] | Zhao L, Yang G (2020) Fuzzy adaptive fault-tolerant control of multi-agent systems with interactions between physical coupling graph and communication graph. Fuzzy Sets Syst 385: 20-38. https://doi.org/10.1016/j.fss.2019.04.005 doi: 10.1016/j.fss.2019.04.005 |
[19] | Zhang X, Zheng S, Ahn CK, Xie Y (2023) Adaptive neural consensus for fractional-order multi-agent systems with faults and delays. IEEE Trans Neural Netw Learn Syst 34: 7873-7886. https://doi.org/10.1109/TNNLS.2022.3146889 doi: 10.1109/TNNLS.2022.3146889 |
[20] | Chen C, Xie K, Lewis FL, Xie S, Fierro R (2020) Adaptive synchronization of multi-agent systems with resilience to communication link faults. Automatica 111: Art. no. 108636. https://doi.org/10.1016/j.automatica.2019.108636 doi: 10.1016/j.automatica.2019.108636 |
[21] | Zhang J, Zhang H (2022) Adaptive event-triggered consensus of linear multiagent systems with resilience to communication link faults for digraphs. IEEE Trans Circuits Syst II Express Briefs 69: 3249-3253. https://doi.org/10.1109/TCSII.2022.3159846 doi: 10.1109/TCSII.2022.3159846 |
[22] | Wang Z, Zhu Y, Xue H, Liang H (2021) Neural networks-based adaptive event-triggered consensus control for a class of multi-agent systems with communication faults. Neurocomputing 470: 99-108. https://doi.org/10.1016/j.neucom.2021.10.059 doi: 10.1016/j.neucom.2021.10.059 |
[23] | Liu G, Sun Q, Wang R, Huang Y (2022) Reduced-order observer-based fuzzy adaptive dynamic event-triggered consensus control for multi-agent systems with communication faults. Nonlinear Dyn 110: 1421-1435. https://doi.org/10.1007/s11071-022-07655-5 doi: 10.1007/s11071-022-07655-5 |
[24] | Sharma D, Singh S, Lin J, Foruzan E (2017) Agent-based distributed control schemes for distributed energy storage systems under cyber attacks. IEEE Jour Emer Select Top Circu Syste 7: 307-318. https://doi.org/10.1109/JETCAS.2017.2700947 doi: 10.1109/JETCAS.2017.2700947 |
[25] | Liu C, Jiang B, Wang X, Yang H, Xie S (2022) Distributed fault-tolerant consensus tracking of multi-agent systems under cyber-attacks. IEEE/CAA J Automatica Sin 99: 1-12. https://doi.org/10.1109/JAS.2022.105419 doi: 10.1109/JAS.2022.105419 |
[26] | Liu J, Yin T, Yue D, Karimi HR, Cao J (2021) Event-based secure leader-following consensus control for multiagent systems with multiple cyber attacks. IEEE Trans Cybern 51: 162-173. https://doi.org/10.1109/TCYB.2020.2970556 doi: 10.1109/TCYB.2020.2970556 |
[27] | Wang Y, Lu J, Liang J (2022) Security control of multiagent systems under denial-of-service attacks. IEEE Trans on Cybern 52: 4323-4333. https://doi.org/10.1109/TCYB.2020.3026083 doi: 10.1109/TCYB.2020.3026083 |
[28] | Zhao L, Yang G (2020) Cooperative adaptive fault-tolerant control for multi-agent systems with deception attacks. J Frankl Inst 357: 3419-3433. https://doi.org/10.1016/j.jfranklin.2019.12.032 doi: 10.1016/j.jfranklin.2019.12.032 |
[29] | Zhu Y, Zheng WX (2020) Observer-based control for cyber-physical systems with periodic DoS attacks via a cyclic switching strategy. IEEE Trans Autom Control 65: 3714-3721. https://doi.org/10.1109/TAC.2019.2953210 doi: 10.1109/TAC.2019.2953210 |
[30] | Yang H, Ye D (2022) Observer-based fixed-time secure tracking consensus for networked high-order multiagent systems against DoS attacks. IEEE Trans on Cybern 52: 2018-2031. https://doi.org/10.1109/TCYB.2020.3005354 doi: 10.1109/TCYB.2020.3005354 |
[31] | Chen R, Li Y, Hou Z (2022) Distributed model-free adaptive control for multi-agent systems with external disturbances and DoS attacks. Inf Sci 613: 309-323. https://doi.org/10.1016/j.ins.2022.09.035 doi: 10.1016/j.ins.2022.09.035 |
[32] | Wan Y, Wen G, Yu X, Huang T (2021) Distributed consensus tracking of networked agent systems under denial-of-service attacks. IEEE Trans Syst Man and Cybern Syst 51: 6183-6196. https://doi.org/10.1109/TSMC.2019.2960301 doi: 10.1109/TSMC.2019.2960301 |
[33] | Xu Y, Fang M, Wu ZG, Pan YJ, Chadli M, Huang T (2020) Input-based event-triggering consensus of multiagent systems under denial-of-service attacks. IEEE Trans Syst Man and Cybern Syst 50: 1455-1464. https://doi.org/10.1109/TSMC.2018.2875250 doi: 10.1109/TSMC.2018.2875250 |
[34] | Tian Y, Tian S, Li H, Han Q, Wang X (2022) Event-triggered security consensus for multi-agent systems with markov switching topologies under DoS attacks. Energies 15: Art. no. 5353. https://doi.org/10.3390/en15155353 doi: 10.3390/en15155353 |
[35] | Deng C, Wen C (2020) Distributed resilient observer-based fault-tolerant control for heterogeneous multiagent systems under actuator faults and DoS attacks. IEEE Trans Control Netw Syst 7: 1308-1318. https://doi.org/10.1109/TCNS.2020.2972601 doi: 10.1109/TCNS.2020.2972601 |
[36] | Shao X, Ye D (2021) Fuzzy adaptive event-triggered secure control for stochastic nonlinear high-order MASs subject to DoS attacks and actuator faults. IEEE Trans Fuzzy Syst 29: 3812-3821. https://doi.org/10.1109/TFUZZ.2020.3028657 doi: 10.1109/TFUZZ.2020.3028657 |
[37] | Guo XG, Liu PM, Wang JL, Ahn CK (2021) Event-triggered adaptive fault-tolerant pinning control for cluster consensus of heterogeneous nonlinear multi-agent systems under aperiodic DoS attacks. IEEE Trans Netw Sci Eng 8: 1941-1956. https://doi.org/10.1109/TCNS.2020.2972601 doi: 10.1109/TCNS.2020.2972601 |
[38] | Li Z, Hua C, Li K, Cui H (2022) Event-triggered control for high-order uncertain nonlinear multiagent systems subject to denial-of-service attacks. IEEE Trans Syst Man and Cybern Syst 52: 6129-6138. https://doi.org/10.1109/TNSE.2021.3077766 doi: 10.1109/TNSE.2021.3077766 |
[39] | Hong Y, Hu J, Gao L (2006) Tracking control for multi-agent consensus with an active leader and variable topology. Automatica 42: 1177-1182. https://doi.org/10.1016/j.automatica.2006.02.013 doi: 10.1016/j.automatica.2006.02.013 |
[40] | Chang B, Mu X, Yang Z, Fang J (2021) Event-based secure consensus of muti-agent systems under asynchronous DoS attacks. Appl Math Comput 401: Art. no. 126120. https://doi.org/10.1016/j.amc.2021.126120 doi: 10.1016/j.amc.2021.126120 |
[41] | Feng S, Tesi P(2017) Resilient control under denial-of-service: Robust design. Automatica 79: 42-51. https://doi.org/10.1016/j.automatica.2017.01.031 doi: 10.1016/j.automatica.2017.01.031 |
[42] | Yang Y, Li Y, Yue D, Tian YC, Ding X (2021) Distributed Secure Consensus Control With Event-Triggering for Multiagent Systems Under DoS Attacks. IEEE Trans on Cybern 51: 2916-2928. https://doi.org/10.1109/TCYB.2020.2979342 doi: 10.1109/TCYB.2020.2979342 |
[43] | Wang W, Wang D, Peng ZH (2015) Cooperative fuzzy adaptive output feedback control for synchronisation of nonlinear multi-agent systems under directed graphs. Int J Syst Sci 46: 2982-2995. https://doi.org/10.1080/00207721.2014.886135 doi: 10.1080/00207721.2014.886135 |
[44] | Qian Y, Liu L, Feng G (2020)Distributed event-triggered adaptive control for consensus of linear multi-agent systems with external disturbances. IEEE Trans Cybern 50: 2197-2208. https://doi.org/10.1109/TCYB.2018.2881484 doi: 10.1109/TCYB.2018.2881484 |
[45] | Ge S, Wang C (2004) Adaptive neural control of uncertain MIMO nonlinear systems. IEEE Trans Neural Netw 15: 674-692. https://doi.org/10.1109/TNN.2004.826130 doi: 10.1109/TNN.2004.826130 |