Abstract
This article addresses the secure finite-time tracking problem via event-triggered command-filtered control for nonlinear time-delay cyber physical systems (CPSs) subject to cyber attacks. Under the attack circumstance, the output and state information of CPSs is unavailable for the feedback design, and the classical coordinate conversion of the iterative process is incompetent in relation to the tracking task. To solve this, a new coordinate conversion is proposed by considering the attack gains and the reference signal simultaneously. By employing the transformed variables, a modified fractional-order command-filtered signal is incorporated to overcome the complexity explosion issue, and the Nussbaum function is used to tackle the varying attack gains. By systematically constructing the Lyapunov–Krasovskii functional, an adaptive event-triggered mechanism is presented in detail, with which the communication resources are greatly saved, and the finite-time tracking of CPSs under cyber attacks is guaranteed. Finally, an example demonstrates the effectiveness.
摘要
本文通过事件触发指令滤波控制解决受网络攻击的非线性时滞信息物理系统的安全有限时间跟踪问题. 在攻击情况下, 系统输出和状态信息无法用于反馈设计, 经典坐标转换不能满足跟踪任务. 为解决这一问题, 提出一种同时考虑攻击增益和参考信号的坐标转换方法. 利用变换后的变量, 引入改进的分数阶滤波信号来克服复杂度爆炸问题, 并利用Nussbaum函数处理时变的攻击增益. 通过构造L-K泛函, 提出一种自适应事件触发机制, 大大节省了通信资源, 保证了系统在网络攻击下的有限时间跟踪. 最后, 通过实例验证了该方法的有效性.
Similar content being viewed by others
Data availability
The data that support the findings of this study are available from the corresponding author upon reasonable request.
References
Chen WB, Chen YY, Zhang Y, 2022. Finite-time coordinated path-following control of leader-following multiagent systems. Front Inform Technol Electron Eng, 23(10):1511–1521. https://doi.org/10.1631/FITEE.2100476
Chen WD, Li YX, Liu L, et al., 2022. Nussbaum-based adaptive fault-tolerant control for nonlinear CPSs with deception attacks: a new coordinate transformation technology. IEEE Trans Cybern, early access. https://doi.org/10.1109/TCYB.2022.3206861
Choi YH, Yoo SJ, 2020. Neural-networks-based adaptive quantized feedback tracking of uncertain nonlinear strict-feedback systems with unknown time delays. J Franklin Inst, 357(15):10691–10715. https://doi.org/10.1016/j.jfranklin.2020.08.046
Ding DR, Han QL, Ge XH, et al., 2021. Secure state estimation and control of cyber-physical systems: a survey. IEEE Trans Syst Man Cybern Syst, 51(1):176–190. https://doi.org/10.1109/TSMC.2020.3041121
Ge SS, Tee KP, 2007. Approximation-based control of nonlinear MIMO time-delay systems. Automatica, 43(1):31–43. https://doi.org/10.1016/j.automatica.2006.08.003
Ge XH, Han QL, Zhong MY, et al., 2019. Distributed Krein space-based attack detection over sensor networks under deception attacks. Automation, 109:108557. https://doi.org/10.1016/j.automatica.2019.108557
Ge XH, Han QL, Wu Q, et al., 2023a. Resilient and safe platooning control of connected automated vehicles against intermittent denial-of-service attacks. IEEE/CAA J Autom Sin, 10(5):1234–1251. https://doi.org/10.1109/JAS.2022.105845
Ge XH, Han QL, Zhang XM, et al., 2023b. Communication resource-efficient vehicle platooning control with various spacing policies. IEEE/CAA J Autom Sin, early access. https://doi.org/10.1109/JAS.2023.123507
Guan YP, Ge XH, 2018. Distributed attack detection and secure estimation of networked cyber-physical systems against false data injection attacks and jamming attacks. IEEE Trans Signal Inform Process Netw, 4(1):48–59. https://doi.org/10.1109/TSIPN.2017.2749959
Hu XY, Li YX, Tong SC, et al., 2023. Event-triggered adaptive fuzzy asymptotic tracking control of nonlinear pure-feedback systems with prescribed performance. IEEE Trans Cybern, 53(4):2380–2390. https://doi.org/10.1109/TCYB.2021.3118835
Ju YM, Ding DR, He X, et al., 2022. Consensus control of multi-agent systems using fault-estimation-in-the-loop: dynamic event-triggered case. IEEE/CAA J Autom Sin, 9(8):1440–1451. https://doi.org/10.1109/JAS.2021.1004386
Kazemi Z, Safavi AA, Arefi MM, et al., 2022. Finite-time secure dynamic state estimation for cyber-physical systems under unknown inputs and sensor attacks. IEEE Trans Syst Man Cybern Syst, 52(8):4950–4959. https://doi.org/10.1109/TSMC.2021.3106228
Li M, Li S, Ahn CK, et al., 2022. Adaptive fuzzy event-triggered command-filtered control for nonlinear time-delay systems. IEEE Trans Fuzzy Syst, 30(4):1025–1035. https://doi.org/10.1109/TFUZZ.2021.3052095
Li ZJ, Zhao J, 2021. Adaptive consensus of non-strict feedback switched multi-agent systems with input saturations. IEEE/CAA J Autom Sin, 8(11):1752–1761. https://doi.org/10.1109/JAS.2021.1004165
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
Ning BD, Han QL, Zuo ZY, et al., 2023. Fixed-time and prescribed-time consensus control of multiagent systems and its applications: a survey of recent trends and methodologies. IEEE Trans Ind Inform, 19(2):1121–1135. https://doi.org/10.1109/TII.2022.3201589
Samy SA, Ramachandran R, Anbalagan P, et al., 2023. Synchronization of nonlinear multi-agent systems using a non-fragile sampled data control approach and its application to circuit systems. Front Inform Technol Electron Eng, 24(4):553–566. https://doi.org/10.1631/FITEE.2200181
Song S, Park JH, Zhang BY, et al., 2022a. Adaptive NN finite-time resilient control for nonlinear time-delay systems with unknown false data injection and actuator faults. IEEE Trans Neur Netw Learn Syst, 33(10):5416–5428. https://doi.org/10.1109/TNNLS.2021.3070623
Song S, Park JH, Zhang BY, et al., 2022b. Event-based adaptive fuzzy fixed-time secure control for nonlinear CPSs against unknown false data injection and backlash-like hysteresis. IEEE Trans Fuzzy Syst, 30(6):1939–1951. https://doi.org/10.1109/TFUZZ.2021.3070700
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
Wang X, Zhou YH, Yang L, 2023. Event-triggered cooperative adaptive neural control for cyber-physical systems with unknown state time delays and deception attacks. IEEE Trans Syst Man Cybern Syst, 53(6):3540–3552. https://doi.org/10.1109/TSMC.2022.3228798
Wang YC, Qiu XJ, Zhang HG, et al., 2022. Data-drivenbased event-triggered control for nonlinear CPSs against jamming attacks. IEEE Trans Neur Netw Learn Syst, 33(7):3171–3177. https://doi.org/10.1109/TNNLS.2020.3047931
Wang YN, Lin ZY, Liang X, et al., 2016. On modeling of electrical cyber physical systems considering cyber security. Front Inform Technol Electron Eng, 17(5):465–478. https://doi.org/10.1631/FITEE.1500446
Wei Y, Luo J, Yan HC, et al., 2021. Event-triggered adaptive finite-time control for nonlinear systems under asymmetric time-varying state constraints. Front Inform Technol Electron Eng, 22(12):1610–1624. https://doi.org/10.1631/FITEE.2000692
Xiao SY, Ge XH, Han QL, et al., 2022. Secure and collisionfree multi-platoon control of automated vehicles under data falsification attacks. Automatica, 145:110531. https://doi.org/10.1016/j.automatica.2022.110531
Xie ML, Ding DR, Ge XH, et al., 2023. Distributed platooning control of automated vehicles subject to replay attacks based on proportional integral observers. IEEE/CAA J Autom Sin, early access. https://doi.org/10.1109/JAS.2022.105941
Xu YG, Guo G, 2022. Event triggered control of connected vehicles under multiple cyber attacks. Inform Sci, 582:778–796. https://doi.org/10.1016/j.ins.2021.10.032
Yang D, Zong GD, Su SF, et al., 2022. Time-driven adaptive control of switched systems with application to electrohydraulic unit. IEEE Trans Cybern, 52(11):11906–11915. https://doi.org/10.1109/tcyb.2021.3077599
Yang SH, Tao G, Jiang B, et al., 2023. Modeling and adaptive control of air vehicles with partial nonlinear parametrization. Automatica, 149:110805. https://doi.org/10.1016/j.automatica.2022.110805
Zhang XM, Han QL, Ge XH, et al., 2020. Resilient control design based on a sampled-data model for a class of networked control systems under denial-of-service attacks. IEEE Trans Cybern, 50(8):3616–3626. https://doi.org/10.1109/TCYB.2019.2956137
Zhang XM, Han QL, Ge XH, et al., 2023. Sampled-data control systems with non-uniform sampling: a survey of methods and trends. Annu Rev Contr, 55:70–91. https://doi.org/10.1016/j.arcontrol.2023.03.004
Author information
Authors and Affiliations
Contributions
Yajing MA and Zhanjie LI designed the research. Yajing MA and Yuan WANG processed the data. Yajing MA and Zhanjie LI drafted the paper. Yuan WANG helped organize the paper. Zhanjie LI and Xiangpeng XIE revised and finalized the paper.
Corresponding author
Ethics declarations
Yajing MA, Yuan WANG, Zhanjie LI, and Xiangpeng XIE declare that they have no conflict of interest.
Additional information
Project supported by the National Natural Science Foundation of China (Nos. 62103199 and 62103201), the Natural Science Foundation of Jiangsu Province, China (No. BK20210590), and the China Postdoctoral Science Foundation (Nos. 2022M711690 and 2023T160333)
Rights and permissions
About this article
Cite this article
Ma, Y., Wang, Y., Li, Z. et al. Event-triggered finite-time command-filtered tracking control for nonlinear time-delay cyber physical systems against cyber attacks. Front Inform Technol Electron Eng 25, 225–236 (2024). https://doi.org/10.1631/FITEE.2300613
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1631/FITEE.2300613