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Resilient decentralized event-triggered control for interconnected power systems under aperiodic DoS attacks

  • Published: 20 September 2026
  • This work investigated the decentralized load frequency control (LFC) problem for multi-area power systems with renewable energy sources under aperiodic denial-of-service (DoS) attacks. A decentralized resilient event-triggered mechanism (DRETM) was proposed, in which a standard output-based ETM governs transmissions during DoS-free intervals and a forced recovery transmission is introduced after each DoS-active interval, enabling prompt closed-loop recovery while explicitly accounting for network transmission delays. A decentralized dynamic output-feedback (DOF) switched controller was developed without centralized state collection. Sufficient conditions are derived for local exponential stability and weighted $ \mathcal H_\infty $ attenuation under aperiodic DoS attacks. The neighboring-area frequency terms were recognised as internal physical interconnection inputs rather than independent disturbances. After the decentralized controller gains were recovered, the original physical feedback was explicitly restored and the complete two-area closed loop was verified by a fixed-gain joint stability condition with two independent equivalent-delay channels.

    Citation: Chijun Zhou, Junzhe Yan, Guobao Liu, Junda Li, Xiaofeng Liu. Resilient decentralized event-triggered control for interconnected power systems under aperiodic DoS attacks[J]. Electronic Research Archive, 2026, 34(11): 7880-7913. doi: 10.3934/era.2026338

    Related Papers:

  • This work investigated the decentralized load frequency control (LFC) problem for multi-area power systems with renewable energy sources under aperiodic denial-of-service (DoS) attacks. A decentralized resilient event-triggered mechanism (DRETM) was proposed, in which a standard output-based ETM governs transmissions during DoS-free intervals and a forced recovery transmission is introduced after each DoS-active interval, enabling prompt closed-loop recovery while explicitly accounting for network transmission delays. A decentralized dynamic output-feedback (DOF) switched controller was developed without centralized state collection. Sufficient conditions are derived for local exponential stability and weighted $ \mathcal H_\infty $ attenuation under aperiodic DoS attacks. The neighboring-area frequency terms were recognised as internal physical interconnection inputs rather than independent disturbances. After the decentralized controller gains were recovered, the original physical feedback was explicitly restored and the complete two-area closed loop was verified by a fixed-gain joint stability condition with two independent equivalent-delay channels.



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    [1] H. Bevrani, T. Hiyama, Robust decentralised PI based LFC design for time delay power systems, Energy Convers. Manage., 49 (2008), 193–204. https://doi.org/10.1016/j.enconman.2007.06.021 doi: 10.1016/j.enconman.2007.06.021
    [2] K. Xu, Y. Niu, J. Lam, Secure decentralized event-triggered load frequency control design for multiarea power systems under multiple DoS attacks, IEEE Trans. Cybern., 54 (2024), 6423–6435. https://doi.org/10.1109/TCYB.2024.3454053 doi: 10.1109/TCYB.2024.3454053
    [3] G. Zhang, J. Li, O. Bamisile, Y. Xing, D. Cai, Q. Huang, An ${H_\infty }$ load frequency control scheme for multi-area power system under cyber-attacks and time-varying delays, IEEE Trans. Power Syst., 38 (2023), 1336–1349. https://doi.org/10.1109/TPWRS.2022.3171101 doi: 10.1109/TPWRS.2022.3171101
    [4] S. Wen, W. Xiong, J. Cao, J. Qiu, MPC-based frequency control strategy with a dynamic energy interaction scheme for the grid-connected microgrid system, J. Franklin Inst., 357 (2020), 2736–2751. https://doi.org/10.1016/j.jfranklin.2019.12.001 doi: 10.1016/j.jfranklin.2019.12.001
    [5] H. Shen, Y. Xia, J. Wang, J. H. Park, Fault-tolerant event-triggered $\mathcal {H}_{\infty }$ load frequency control for multiarea power systems with communication delay, IEEE Syst. J., 16 (2022), 6624–6634. https://doi.org/10.1109/JSYST.2022.3149566 doi: 10.1109/JSYST.2022.3149566
    [6] J. Zhang, F. Peng, L. Wang, Y. Yang, Y. Li, A load frequency control strategy based on double deep q-network and upper confidence bound algorithm of multi-area interconnected power systems, Comput. Electr. Eng., 120 (2024), 109778. https://doi.org/10.1016/j.compeleceng.2024.109778 doi: 10.1016/j.compeleceng.2024.109778
    [7] S. Kanakalakshmi, R. Sakthivel, S. Karthick, A. Leelamani, A. Parivallal, Finite-time decentralized event-triggering non-fragile control for fuzzy neural networks with cyber-attack and energy constraints, Eur. J. Control, 57 (2021), 135–146. https://doi.org/10.1016/j.ejcon.2020.05.001 doi: 10.1016/j.ejcon.2020.05.001
    [8] Y. Liu, G. Cui, C. Gao, Event-triggered synchronization control for neural networks against dos attacks, Electron. Res. Arch., 33 (2025), 121–141. https://doi.org/10.3934/era.2025007 doi: 10.3934/era.2025007
    [9] X. Ge, Q. L. Han, Q. Wu, X. M. Zhang, Resilient and safe platooning control of connected automated vehicles against intermittent denial-of-service attacks, IEEE/CAA J. Autom. Sin., 10 (2023), 1234–1251. https://doi.org/10.1109/JAS.2022.105845 doi: 10.1109/JAS.2022.105845
    [10] D. Wu, Y. Wang, P. Cheng, H. Ye, S. He, Enhancing security control in markov jump networked systems against dos attacks: A dynamic-memory based event-triggered mechanism, J. Franklin Inst., 361 (2024), 106688. https://doi.org/10.1016/j.jfranklin.2024.106688 doi: 10.1016/j.jfranklin.2024.106688
    [11] Z. Hu, S. Liu, W. Luo, L. Wu, Resilient distributed fuzzy load frequency regulation for power systems under cross-layer random denial-of-service attacks, IEEE Trans. Cybern., 52 (2022), 2396–2406. https://doi.org/10.1109/TCYB.2020.3005283 doi: 10.1109/TCYB.2020.3005283
    [12] Y. Zhang, C. Peng, S. Xie, X. Du, Deterministic network calculus-based ${H_\infty }$ load frequency control of multiarea power systems under malicious DoS attacks, IEEE Trans. Smart Grid, 13 (2022), 1542–1554. https://doi.org/10.1109/TSG.2021.3133961 doi: 10.1109/TSG.2021.3133961
    [13] S. Qiao, X. Liu, Y. Liang, G. Xiao, Y. Kang, S. S. Ge, Event-triggered sliding mode load frequency control of multiarea power systems under periodic denial-of-service attacks, IEEE Syst. J., 17 (2023), 2803–2814. https://doi.org/10.1109/JSYST.2022.3208307 doi: 10.1109/JSYST.2022.3208307
    [14] M. M. Hossain, C. Peng, Y. L. Wang, X. Du, Handshake logic-based event-triggered load frequency control for smart grids under DoS attacks, IEEE Trans. Ind. Inf., 18 (2022), 3863–3872. https://doi.org/10.1109/TII.2021.3116165 doi: 10.1109/TII.2021.3116165
    [15] X. Wang, D. Ding, X. Ge, H. Dong, Neural-network-based control with dynamic event-triggered mechanisms under DoS attacks and applications in load frequency control, IEEE Trans. Circuits Syst. I Regul. Pap., 69 (2022), 5312–5324. https://doi.org/10.1109/TCSI.2022.3206370 doi: 10.1109/TCSI.2022.3206370
    [16] L. Yang, T. Liu, D. J. Hill, Decentralized event-triggered frequency regulation for multi-area power systems, Automatica, 126 (2021), 109479. https://doi.org/10.1016/j.automatica.2020.109479 doi: 10.1016/j.automatica.2020.109479
    [17] P. Dahiya, P. Mukhija, A. R. Saxena, Event-triggered based decentralised control for frequency regulation of power systems, IET Gener. Transm. Distrib., 14 (2020), 2004–2015. https://doi.org/10.1049/iet-gtd.2019.0624 doi: 10.1049/iet-gtd.2019.0624
    [18] Z. Wu, H. Mo, J. Xiong, M. Xie, Adaptive event-triggered observer-based output feedback ${L_\infty}$ load frequency control for networked power systems, IEEE Trans. Ind. Inf., 16 (2020), 3952–3962. https://doi.org/10.1109/TII.2019.2942637 doi: 10.1109/TII.2019.2942637
    [19] B. Li, L. Zhao, S. Wen, Periodic event-triggered consensus of stochastic multi-agent systems under switching topology, Artif. Intell. Sci. Eng., 1 (2025), 147–156. http://doi.org/10.23919/aise.2025.000011 doi: 10.23919/aise.2025.000011
    [20] S. Zhao, L. Zhao, S. Wen, L. Cheng, Secure synchronization control of markovian jump neural networks under dos attacks with memory-based adaptive event-triggered mechanism, Artif. Intell. Sci. Eng., 1 (2025), 64–78. http://doi.org/10.23919/aise.2025.000006 doi: 10.23919/aise.2025.000006
    [21] H. Shen, D. Wang, J. H. Park, V. Sreeram, J. Wang, Switching-like event-triggered sliding mode load frequency control for networked power systems under energy-limited DoS attacks, IEEE Trans. Syst. Man Cybern. Syst., 54 (2024), 1589–1598. https://doi.org/10.1109/TSMC.2023.3328844 doi: 10.1109/TSMC.2023.3328844
    [22] Q. Zhong, S. Hu, L. Yan, H. Zhou, J. Yang, K. Shi, et al., Adaptive event-triggered PID load frequency control for multi-area interconnected wind power systems under aperiodic DoS attacks, Expert Syst. Appl., 241 (2024), 122420. https://doi.org/10.1016/j.eswa.2023.122420 doi: 10.1016/j.eswa.2023.122420
    [23] J. Liu, Y. Gu, L. Zha, Y. Liu, J. Cao, Event-triggered ${H_\infty}$ load frequency control for multiarea power systems under hybrid cyber attacks, IEEE Trans. Syst. Man Cybern.: Syst., 49 (2019), 1665–1678. https://doi.org/10.1109/TSMC.2019.2895060 doi: 10.1109/TSMC.2019.2895060
    [24] Z. Cheng, S. Hu, D. Yue, C. Dou, S. Shen, Resilient distributed coordination control of multiarea power systems under hybrid attacks, IEEE Trans. Syst. Man Cybern.: Syst., 52 (2022), 7–18. https://doi.org/10.1109/TSMC.2021.3049373 doi: 10.1109/TSMC.2021.3049373
    [25] W. Liu, J. Sun, G. Wang, F. Bullo, J. Chen, Data-driven resilient predictive control under denial-of-service, IEEE Trans. Autom. Control, 68 (2023), 4722–4737. https://doi.org/10.1109/TAC.2022.3209399 doi: 10.1109/TAC.2022.3209399
    [26] W. Liu, J. Sun, G. Wang, F. Bullo, J. Chen, Resilient control under quantization and denial-of-service: Codesigning a deadbeat controller and transmission protocol, IEEE Trans. Autom. Control, 67 (2022), 3879–3891. https://doi.org/10.1109/TAC.2021.3107145 doi: 10.1109/TAC.2021.3107145
    [27] X. Du, G. Liu, H. Zhang, J. H. Park, X. Liu, Security load frequency control of networked power systems via round-robin protocol under denial of service attacks, J. Franklin Inst., 361 (2024), 107155. https://doi.org/10.1016/j.jfranklin.2024.107155 doi: 10.1016/j.jfranklin.2024.107155
    [28] H. S. Foroush, S. Martínez, On triggering control of single-input linear systems under pulse-width modulated DoS signals, SIAM J. Control Optim., 54 (2016), 3084–3105. https://doi.org/10.1137/16M1069390 doi: 10.1137/16M1069390
    [29] W. Liu, M. Wakaiki, J. Sun, G. Wang, J. Chen, Self-triggered resilient stabilization of linear systems with quantized outputs, Automatica, 153 (2023), 111006. https://doi.org/10.1016/j.automatica.2023.111006 doi: 10.1016/j.automatica.2023.111006
    [30] C. D. Persis, P. Tesi, Input-to-state stabilizing control under denial-of-service, IEEE Trans. Autom. Control, 60 (2015), 2930–2944. https://doi.org/10.1109/TAC.2015.2416924 doi: 10.1109/TAC.2015.2416924
    [31] X. M. Sun, J. Zhao, D. J. Hill, Stability and $L_2$-gain analysis for switched delay systems: A delay-dependent method, Automatica, 42 (2006), 1769–1774. https://doi.org/10.1016/j.automatica.2006.05.007 doi: 10.1016/j.automatica.2006.05.007
    [32] L. Wu, J. Lam, Weighted $H_\infty$ filtering of switched systems with time-varying delay: Average dwell time approach, Circuits Syst. Signal Process., 28 (2009), 1017–1036. https://doi.org/10.1007/s00034-009-9123-6 doi: 10.1007/s00034-009-9123-6
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