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.
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The data that support the findings of this study are available from the corresponding author upon reasonable request.
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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.
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Yajing MA, Yuan WANG, Zhanjie LI, and Xiangpeng XIE declare that they have no conflict of interest.
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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)
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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
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DOI: https://doi.org/10.1631/FITEE.2300613