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.

本文通过针对遭受网络攻击的非线性时滞网络物理系统 (CPS) 的事件触发命令过滤控制来解决安全有限时间跟踪问题。在攻击情况下，CPS的输出和状态信息无法用于反馈设计，迭代过程的经典坐标转换无法胜任跟踪任务。为了解决这个问题，通过同时考虑攻击增益和参考信号，提出了一种新的坐标转换。通过使用变换后的变量，合并了修改后的分数阶命令过滤信号以克服复杂性爆炸问题，并且使用 Nussbaum 函数来解决变化的攻击增益。通过系统地构建Lyapunov-Krasovskii泛函，详细提出了一种自适应事件触发机制，大大节省了通信资源，并保证了CPS在网络攻击下的有限时间跟踪。最后通过实例验证了其有效性。