logo

SCIENCE CHINA Information Sciences, Volume 63, Issue 5: 150208(2020) https://doi.org/10.1007/s11432-019-2687-7

Event-trigger-based consensus secure control of linear multi-agent systems under DoS attacks over multiple transmission channels

More info
  • ReceivedMar 26, 2019
  • AcceptedSep 23, 2019
  • PublishedMar 13, 2020

Abstract

This paper proposes a consensus secure control scheme in the presence of denial-of-service (DoS) attacks based on an event-trigger mechanism.In contrast to a scenario in which attacks are the same and simultaneously paralyze all channels, the DoS attack addressed in this paper occurs aperiodically and results in the independent interruption of multiple transmission channels.A sufficient condition for the attack duration is designed and a distributed event-triggered control scheme is proposed,where the updated instants are triggered aperiodically to reduce the required communication resources.It is shown that the overall system is stable with the proposed scheme according to the Lyapunov stability theory and that Zeno behavior is excluded.Finally, a numerical example is presented to verify the effectiveness of the proposed scheme.


References

[1] Ding L, Han Q L, Ge X H. An Overview of Recent Advances in Event-Triggered Consensus of Multiagent Systems.. IEEE Trans Cybern, 2018, 48: 1110-1123 CrossRef PubMed Google Scholar

[2] Ma L F, Wang Z D, Han Q L. Consensus control of stochastic multi-agent systems: a survey. Sci China Inf Sci, 2017, 60: 120201 CrossRef Google Scholar

[3] Zuo Z Y, Han Q L, Ning B D. An Overview of Recent Advances in Fixed-Time Cooperative Control of Multiagent Systems. IEEE Trans Ind Inf, 2018, 14: 2322-2334 CrossRef Google Scholar

[4] Liu J W, Huang J. Leader-following consensus of linear discrete-time multi-agent systems subject to jointly connected switching networks. Sci China Inf Sci, 2018, 61: 112208 CrossRef Google Scholar

[5] Liu X Y, Lam J, Yu W W. Finite-Time Consensus of Multiagent Systems With a Switching Protocol.. IEEE Trans Neural Netw Learning Syst, 2016, 27: 853-862 CrossRef PubMed Google Scholar

[6] Qiu Z R, Liu S, Xie L H. Distributed constrained optimal consensus of multi-agent systems. Automatica, 2016, 68: 209-215 CrossRef Google Scholar

[7] Lin Z L. Control design in the presence of actuator saturation: from individual systems to multi-agent systems. Sci China Inf Sci, 2019, 62: 26201 CrossRef Google Scholar

[8] Feng Z, Hu G Q. Secure Cooperative Event-Triggered Control of Linear Multiagent Systems Under DoS Attacks. IEEE Trans Contr Syst Technol, 2019, : 1-12 CrossRef Google Scholar

[9] Xu W Y, Ho D W C, Zhong J. Event/Self-Triggered Control for Leader-Following Consensus Over Unreliable Network With DoS Attacks.. IEEE Trans Neural Netw Learning Syst, 2019, 30: 3137-3149 CrossRef PubMed Google Scholar

[10] Zhao C C, He J P, Chen J M. Resilient Consensus with Mobile Detectors Against Malicious Attacks. IEEE Trans Signal Inf Process over Networks, 2018, 4: 60-69 CrossRef Google Scholar

[11] Zhang W B, Wang Z D, Liu Y R. Sampled-data consensus of nonlinear multiagent systems subject to cyber attacks. Int J Robust NOnlinear Control, 2018, 28: 53-67 CrossRef Google Scholar

[12] Zhang H, Cheng P, Shi L. Optimal DoS Attack Scheduling in Wireless Networked Control System. IEEE Trans Contr Syst Technol, 2016, 24: 843-852 CrossRef Google Scholar

[13] Ge X, Han Q L, Zhong M. Distributed Krein space-based attack detection over sensor networks under deception attacks. Automatica, 2019, 109: 108557 CrossRef Google Scholar

[14] Wu Y M, Xu M, Zheng N, et al. Attack tolerant finite-time consensus for multi-agent networks. In: Proceedings of 2017 13th IEEE International Conference on Control & Automation (ICCA), 2017. 1010--1014. Google Scholar

[15] Feng S, Tesi P. Resilient control under Denial-of-Service: Robust design. Automatica, 2017, 79: 42-51 CrossRef Google Scholar

[16] Lee P, Clark A, Bushnell L. A Passivity Framework for Modeling and Mitigating Wormhole Attacks on Networked Control Systems. IEEE Trans Automat Contr, 2014, 59: 3224-3237 CrossRef Google Scholar

[17] Ding D R, Wang Z D, Han Q L. Security Control for Discrete-Time Stochastic Nonlinear Systems Subject to Deception Attacks. IEEE Trans Syst Man Cybern Syst, 2018, 48: 779-789 CrossRef Google Scholar

[18] Pang Z H, Liu G P, Dong Z. Secure networked control systems under denial of service attacks. In: Proceedings of the 18th IFAC World Congress, 2011. 8908--8913. Google Scholar

[19] Long M, Wu C H, Hung J Y. Denial of Service Attacks on Network-Based Control Systems: Impact and Mitigation. IEEE Trans Ind Inf, 2005, 1: 85-96 CrossRef Google Scholar

[20] Amullen E M, Shetty S, Keel L H. Model-based resilient control for a multi-agent system against denial of service attacks. In: Proceedings of 2016 World Automation Congress (WAC), 2016. 1--6. Google Scholar

[21] Zhang D, Liu L, Feng G. Consensus of Heterogeneous Linear Multiagent Systems Subject to Aperiodic Sampled-Data and DoS Attack.. IEEE Trans Cybern, 2019, 49: 1501-1511 CrossRef PubMed Google Scholar

[22] de Persis C, Tesi P. Input-to-State Stabilizing Control Under Denial-of-Service. IEEE Trans Automat Contr, 2015, 60: 2930-2944 CrossRef Google Scholar

[23] Cui T T, Yu H, Hao F. Security control for linear systems subject to denial-of-service attacks. In: Proceedings of the 36th Chinese Control Conference (CCC), 2017. 7673--7678. Google Scholar

[24] Ge X, Han Q L, Zhang X M. Distributed Event-Triggered Estimation Over Sensor Networks: A Survey.. IEEE Trans Cybern, 2019, : 1-15 CrossRef PubMed Google Scholar

[25] Zhang X M, Han Q L, Zhang B L. An Overview and Deep Investigation on Sampled-Data-Based Event-Triggered Control and Filtering for Networked Systems. IEEE Trans Ind Inf, 2017, 13: 4-16 CrossRef Google Scholar

[26] Dimarogonas D V, Frazzoli E, Johansson K H. Distributed Event-Triggered Control for Multi-Agent Systems. IEEE Trans Automat Contr, 2012, 57: 1291-1297 CrossRef Google Scholar

[27] Xie D S, Xu S Y, Li Z. Event-triggered consensus control for second-order multi-agent systems. 2015, 9: 667-680 CrossRef Google Scholar

[28] Hu W F, Liu L, Feng G. Consensus of Linear Multi-Agent Systems by Distributed Event-Triggered Strategy.. IEEE Trans Cybern, 2016, 46: 148-157 CrossRef PubMed Google Scholar

[29] Hu S L, Yue D, Xie X P. Resilient Event-Triggered Controller Synthesis of Networked Control Systems Under Periodic DoS Jamming Attacks.. IEEE Trans Cybern, 2019, 49: 4271-4281 CrossRef PubMed Google Scholar

[30] Feng Z, Hu G Q. Distributed secure average consensus for linear multi-agent systems under DoS attacks. In: Proceedings of American Control Conference (ACC), 2017. 2261--2266. Google Scholar

[31] Feng Z, Hu G Q. Distributed secure leader-following consensus of multi-agent systems under DoS attacks and directed topology. In: Proceedings of 2017 IEEE International Conference on Information and Automation (ICIA), 2017. 73--79. Google Scholar

[32] Ding D R, Wang Z D, Ho D W C. Observer-Based Event-Triggering Consensus Control for Multiagent Systems With Lossy Sensors and Cyber-Attacks.. IEEE Trans Cybern, 2017, 47: 1936-1947 CrossRef PubMed Google Scholar

[33] Lu A Y, Yang G H. Distributed consensus control for multi-agent systems under denial-of-service. Inf Sci, 2018, 439-440: 95-107 CrossRef Google Scholar

[34] Lu A Y, Yang G H. Input-to-State Stabilizing Control for Cyber-Physical Systems With Multiple Transmission Channels Under Denial of Service. IEEE Trans Automat Contr, 2018, 63: 1813-1820 CrossRef Google Scholar

[35] Sun H T, Peng C, Zhang W D. Security-based resilient event-triggered control of networked control systems under denial of service attacks. J Franklin Institute, 2018, CrossRef Google Scholar

[36] Zhao Y, Liu Y F, Li Z K. Distributed average tracking for multiple signals generated by linear dynamical systems: An edge-based framework. Automatica, 2017, 75: 158-166 CrossRef Google Scholar

[37] Wen G H, Wang H, Yu X H. Bipartite Tracking Consensus of Linear Multi-Agent Systems With a Dynamic Leader. IEEE Trans Circuits Syst II, 2018, 65: 1204-1208 CrossRef Google Scholar

[38] Sun Z Y, Huang N, Anderson B D O. IEEE Trans Cybern, 2020, 50: 284-296 CrossRef PubMed Google Scholar

[39] Sun Z y, Huang N, Anderson B D O. Comments on "Distributed event-triggered control of multi-agent systems with combinational measurements". Automatica, 2018, 92: 264-265 CrossRef Google Scholar

[40] Fan Y, Feng G, Wang Y. Distributed event-triggered control of multi-agent systems with combinational measurements. Automatica, 2013, 49: 671-675 CrossRef Google Scholar

[41] Xie D S, Xu S Y, Chu Y M. Event-triggered average consensus for multi-agent systems with nonlinear dynamics and switching topology. J Franklin Institute, 2015, 352: 1080-1098 CrossRef Google Scholar

[42] Zhang Z Q, Hao F, Zhang L. Consensus of linear multi-agent systems via event-triggered control. Int J Control, 2014, 87: 1243-1251 CrossRef Google Scholar

  • Figure 3

    Communication graph.

  • Table 1   Decay rates $\alpha_{\Omega}$ under different attack conditions
    Attack conditionAlgebra condition$\alpha_{\Omega}$
    $|\Omega|=0,1$$L_{\Omega}\neq~L$, $\lambda_{\min}(\Lambda_{L_{0}}-\Lambda_{L_{\Omega}})\!\neq\!0$$-$0.141
    $|\Omega|=2$$L_{\Omega}\neq~L$, $\lambda_{\min}(\Lambda_{L_{0}}-\Lambda_{L_{\Omega}})\!=\!0$ 0.407
    $|\Omega|=3$$L_{\Omega}=~L$0.46
  • Table 2   Performance comparison for different triggered functions
    Function Control Updated numbers of agentsMinimum Maximum
    cmidrule3-5 scheme 1 2 3 inter-event timeinter-event time
    [27,28,40-42] $\varpi~_{i}~(t)=0,~\psi~_{i}(t)~=0$1822 1899 1643 0.01 1.49
    [38,39] $\varpi_{i}~(t)\neq~0,~\psi~_{i}(t)~=0$ 709 688 676 0.02 1.54
    [35] $\varpi~_{i}~(t)=0,~\psi~_{i}(t)~\neq~0$1364 1271 1122 0.01 1.49
    Our paper $\varpi~_{i}~(t)\neq~0,~\psi~_{i}(t)~\neq~0$ 611 570 560 0.02 1.54

Copyright 2020 Science China Press Co., Ltd. 《中国科学》杂志社有限责任公司 版权所有

京ICP备18024590号-1