

FOLLOWUS
1.State Key Laboratory for Turbulence and Complex Systems, School of Advanced Manufacturing and Robotics, College of Engineering, Peking University, Beijing 100871, China
2.Intelligent Game and Decision Laboratory, Beijing 100097, China
3.College of Computer Science, Chongqing University, Chongqing 400044, China
4.College of Electronic and Information Engineering, Southwest University, Chongqing 400715, China
E-mail: yuzhongjing@pku.edu.cn
‡ Corresponding authors
Received:12 November 2024,
Revised:2025-02-23,
Published:2025-09
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Zhongjing YU, Duo ZHANG, Shihan KONG, et al. Sum-based dynamic discrete event-triggered mechanism for synchronization of delayed neural networks under deception attacks[J]. Frontiers of Information Technology & Electronic Engineering, 2025, 26(9): 1662-1678.
Zhongjing YU, Duo ZHANG, Shihan KONG, et al. Sum-based dynamic discrete event-triggered mechanism for synchronization of delayed neural networks under deception attacks[J]. Frontiers of Information Technology & Electronic Engineering, 2025, 26(9): 1662-1678. DOI: 10.1631/FITEE.2401000.
本文聚焦于欺骗攻击环境下时滞T-S模糊神经网络同步的事件触发控制器设计。传统事件触发机制(ETM)依据当前采样点确定下一次触发,易导致网络拥塞,且存在欺骗攻击和系统状态不可测的问题。为增强系统稳定性,我们采用自适应检测机制在特定时间段内识别事件发生,同时重新刻画欺骗攻击以涵盖一般场景。具体改进如下:首先,利用伯努利过程建模欺骗攻击发生机制,将其作为广义马尔可夫过程描述多种攻击场景;其次,引入基于和值的动态离散事件触发机制(SDDETM),该机制结合历史采样测量值和内部动态变量来确定后续触发事件;最后,整合动态输出反馈控制器(DOFC)以确保系统稳定性。通过应用锥补线性化(CCL)算法,实现了DOFC与SDDETM参数的协同设计。通过两个仿真算例验证了该算法的有效性。
This paper focuses on the design of event-triggered controllers for the synchronization of delayed Takagi–Sugeno (T–S) fuzzy neural networks (NNs) under deception attacks. The traditional event-triggered mechanism (ETM) determines the next trigger based on the current sample
resulting in network congestion. Furthermore
such methods suffer from the issues of deception attacks and unmeasurable system states. To enhance the system stability
we adaptively detect the occurrence of events over a period of time. In addition
deception attacks are recharacterized to describe general scenarios. Specifically
the following enhancements are implemented: First
we use a Bernoulli process to model the occurrence of deception attacks
which can describe a variety of attack scenarios as a type of general Markov process. Second
we introduce a sum-based dynamic discrete event-triggered mechanism (SDDETM)
which uses a combination of past sampled measurements and internal dynamic variables to determine subsequent triggering events. Finally
we incorporate a dynamic output feedback controller (DOFC) to ensure the system stability. The concurrent design of the DOFC and SDDETM parameters is achieved through the application of the cone complement linearization (CCL) algorithm. We further perform two simulation examples to validate the effectiveness of the algorithm.
Bao YG , Zhao D , Sun JY , et al. , 2024 . Resilient synchronization of neural networks under DoS attacks and communication delays via event-triggered impulsive control . IEEE Trans Syst Man Cybern Syst , 54 ( 1 ): 471 - 483 . https://doi.org/10.1109/TSMC.2023.3312520 https://doi.org/10.1109/TSMC.2023.3312520
Boyd S , El Ghaoui L , Feron E , et al. , 1994 . Linear Matrix Inequalities in System and Control Theory . https://doi.org/10.1137/1.9781611970777 https://doi.org/10.1137/1.9781611970777
Chen J , Zhang XM , Park JH , et al. , 2022 . Improved stability criteria for delayed neural networks using a quadratic function negative-definiteness approach . IEEE Trans Neur Netw Learn Syst , 33 ( 3 ): 1348 - 1354 . https://doi.org/10.1109/TNNLS.2020.3042307 https://doi.org/10.1109/TNNLS.2020.3042307
Donkers MCF , Heemels WPMH , 2012 . Output-based event-triggered control with guaranteed <math id="M551"><mrow><msub><mi mathvariant="script">L</mi><mi>∞</mi></msub></mrow></math> -gain and improved and decentralized event-triggering . IEEE Trans Autom Contr , 57 ( 6 ): 1362 - 1376 . https://doi.org/10.1109/TAC.2011.2174696 https://doi.org/10.1109/TAC.2011.2174696
El Ghaoui L , Oustry F , AitRami M , 1997 . A cone complementarity linearization algorithm for static output-feedback and related problems . IEEE Trans Autom Contr , 42 ( 8 ): 1171 - 1176 . https://doi.org/10.1109/9.618250 https://doi.org/10.1109/9.618250
Guo G , Ding L , Han QL , 2014 . A distributed event-triggered transmission strategy for sampled-data consensus of multi-agent systems . Automatica , 50 ( 5 ): 1489 - 1496 . https://doi.org/10.1016/j.automatica.2014.03.017 https://doi.org/10.1016/j.automatica.2014.03.017
Heemels WPMH , Donkers MCF , Teel AR , 2013 . Periodic event-triggered control for linear systems . IEEE Trans Autom Contr , 58 ( 4 ): 847 - 861 . https://doi.org/10.1109/TAC.2012.2220443 https://doi.org/10.1109/TAC.2012.2220443
Kazemy A , Lam J , Zhang XM , 2022 . Event-triggered output feedback synchronization of master–slave neural networks under deception attacks . IEEE Trans Neur Netw Learn Syst , 33 ( 3 ): 952 - 961 . https://doi.org/10.1109/TNNLS.2020.3030638 https://doi.org/10.1109/TNNLS.2020.3030638
Lei Y , Hua T , Wang YW , et al. , 2024 . Robust output regulation of singularly perturbed systems by event-triggered output feedback . IEEE Trans Syst Man Cybern Syst , 54 ( 4 ): 2104 - 2113 . https://doi.org/10.1109/TSMC.2023.3334204 https://doi.org/10.1109/TSMC.2023.3334204
Liang D , Huang J , 2021 . Robust output regulation of linear systems by event-triggered dynamic output feedback control . IEEE Trans Autom Contr , 66 ( 5 ): 2415 - 2422 . https://doi.org/10.1109/TAC.2020.3010772 https://doi.org/10.1109/TAC.2020.3010772
Liu JL , Wei LL , Xie XP , et al. , 2018 . Quantized stabilization for T–S fuzzy systems with hybrid-triggered mechanism and stochastic cyber-attacks . IEEE Trans Fuzzy Syst , 26 ( 6 ): 3820 - 3834 . https://doi.org/10.1109/TFUZZ.2018.2849702 https://doi.org/10.1109/TFUZZ.2018.2849702
Liu JL , Yin TT , Xie XP , et al. , 2019a . Event-triggered state estimation for T–S fuzzy neural networks with stochastic cyber-attacks . Int J Fuzzy Syst , 21 ( 2 ): 532 - 544 . https://doi.org/10.1007/s40815-018-0590-4 https://doi.org/10.1007/s40815-018-0590-4
Liu JL , Gu YY , Xie XP , et al. , 2019b . Hybrid-driven-based H ∞ control for networked cascade control systems with actuator saturations and stochastic cyber attacks . IEEE Trans Syst Man Cybern Syst , 49 ( 12 ): 2452 - 2463 . https://doi.org/10.1109/TSMC.2018.2875484 https://doi.org/10.1109/TSMC.2018.2875484
Liu YJ , Fang Z , Park JH , et al. , 2023 . Quantized event-triggered synchronization of discrete-time chaotic neural networks with stochastic deception attack . IEEE Trans Syst Man Cybern Syst , 53 ( 7 ): 4511 - 4521 . https://doi.org/10.1109/TSMC.2023.3251355 https://doi.org/10.1109/TSMC.2023.3251355
Liu ZQ , Lou XY , Jia JJ , 2022 . Event-triggered dynamic output-feedback control for a class of Lipschitz nonlinear systems . Front Inform Technol Electron Eng , 23 ( 11 ): 1684 - 1699 . https://doi.org/10.1631/FITEE.2100552 https://doi.org/10.1631/FITEE.2100552
Ma YJ , Wang Y , Li ZJ , et al. , 2024 . Event-triggered finite-time command-filtered tracking control for nonlinear time-delay cyber physical systems against cyber attacks . Front Inform Technol Electron Eng , 25 ( 2 ): 225 - 236 . https://doi.org/10.1631/FITEE.2300613 https://doi.org/10.1631/FITEE.2300613
Shen H , Liu YA , Wang J , et al. , 2023 . Sliding-mode control for IT2 fuzzy nonlinear singularly perturbed systems and its application to electric circuits: a dynamic event-triggered mechanism . IEEE Trans Syst Man Cybern Syst , 53 ( 7 ): 4077 - 4090 . https://doi.org/10.1109/TSMC.2023.3240994 https://doi.org/10.1109/TSMC.2023.3240994
Song L , Nguang SK , Huang D , 2019 . Hierarchical stability conditions for a class of generalized neural networks with multiple discrete and distributed delays . IEEE Trans Neur Netw Learn Syst , 30 ( 2 ): 636 - 642 . https://doi.org/10.1109/tnnls.2018.2853658 https://doi.org/10.1109/tnnls.2018.2853658
Tan YS , Liu Y , Niu B , et al. , 2020 . Event-triggered synchronization control for T–S fuzzy neural networked systems with time delay . J Franklin Inst , 357 ( 10 ): 5934 - 5953 . https://doi.org/10.1016/j.jfranklin.2020.03.024 https://doi.org/10.1016/j.jfranklin.2020.03.024
Wang R , Li YH , Sun H , et al. , 2021 . Freshness constraints of an age of information based event-triggered Kalman consensus filter algorithm over a wireless sensor network . Front Inform Technol Electron Eng , 22 ( 1 ): 51 - 67 . https://doi.org/10.1631/FITEE.2000206 https://doi.org/10.1631/FITEE.2000206
Wen GH , Chen MZQ , Yu XH , 2016 . Event-triggered master–slave synchronization with sampled-data communication . IEEE Trans Circ Syst II Expr Briefs , 63 ( 3 ): 304 - 308 . https://doi.org/10.1109/TCSII.2015.2482158 https://doi.org/10.1109/TCSII.2015.2482158
Wen GH , Wan Y , Cao JD , et al. , 2018 . Master–slave synchronization of heterogeneous systems under scheduling communication . IEEE Trans Syst Man Cybern Syst , 48 ( 3 ): 473 - 484 . https://doi.org/10.1109/TSMC.2016.2599012 https://doi.org/10.1109/TSMC.2016.2599012
Yan S , Shen MQ , Nguang SK , et al. , 2019 . A distributed delay method for event-triggered control of T–S fuzzy networked systems with transmission delay . IEEE Trans Fuzzy Syst , 27 ( 10 ): 1963 - 1973 . https://doi.org/10.1109/TFUZZ.2019.2893179 https://doi.org/10.1109/TFUZZ.2019.2893179
Yue D , Tian EG , Han QL , 2013 . A delay system method for designing event-triggered controllers of networked control systems . IEEE Trans Autom Contr , 58 ( 2 ): 475 - 481 . https://doi.org/10.1109/TAC.2012.2206694 https://doi.org/10.1109/TAC.2012.2206694
Zadeh LA , 1968 . Fuzzy algorithms . Inform Contr , 12 ( 2 ): 94 - 102 . https://doi.org/10.1016/S0019-9958(68)90211-8 https://doi.org/10.1016/S0019-9958(68)90211-8
Zhang D , Ouyang D , Shu L , et al. , 2023 . Sum-based event- triggered dynamic output feedback control for synchronization of fuzzy neural networks with deception attacks . Neur Comput Appl , 35 ( 14 ): 10221 - 10237 . https://doi.org/10.1007/s00521-023-08231-7 https://doi.org/10.1007/s00521-023-08231-7
Zhang LR , Nguang SK , Ouyang DQ , et al. , 2020 . Synchronization of delayed neural networks via integral-based event-triggered scheme . IEEE Trans Neur Netw Learn Syst , 31 ( 12 ): 5092 - 5102 . https://doi.org/10.1109/TNNLS.2019.2963146 https://doi.org/10.1109/TNNLS.2019.2963146
Zhang LR , Nguang SK , Yan S , 2021 . Event-triggered H ∞ control for networked control systems under denial-of-service attacks . Trans Inst Meas Contr , 43 ( 5 ): 1077 - 1087 . https://doi.org/10.1177/0142331220966417 https://doi.org/10.1177/0142331220966417
Zhang XM , Han QL , 2014 . Event-triggered dynamic output feedback control for networked control systems . IET Contr Theory Appl , 8 ( 4 ): 226 - 234 . https://doi.org/10.1049/iet-cta.2013.0253 https://doi.org/10.1049/iet-cta.2013.0253
Zhang XM , Han QL , Wang J , 2018 . Admissible delay upper bounds for global asymptotic stability of neural networks with time-varying delays . IEEE Trans Neur Netw Learn Syst , 29 ( 11 ): 5319 - 5329 . https://doi.org/10.1109/TNNLS.2018.2797279 https://doi.org/10.1109/TNNLS.2018.2797279
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