Zeng Pengyu, Deng Feiqi, Liu Xiaohua, Gao Xiaobin
IEEE Trans Cybern. 2022 Oct;52(10):10240-10252. doi: 10.1109/TCYB.2021.3063244. Epub 2022 Sep 19.
In this article, the event-triggered resilient L control problem is concerned for the Markov jump systems in the presence of denial-of-service (DoS) jamming attacks. First, a fixed lower bound-based event-triggering scheme (ETS) is presented in order to avoid the Zeno problem caused by exogenous disturbance. Second, when DoS jamming attacks are involved, the transmitted data are blocked and the old control input is kept by using the zero-order holder (ZOH). On the basis of this process, the effect of DoS attacks on ETS is further discussed. Next, by utilizing the state-feedback controller and multiple Lyapunov functions method, some criteria incorporating the restriction of DoS jamming attacks are proposed to guarantee the L control performance of the event-triggered Markov closed-loop jump system. In particular, the bounded transition rates rather than the exact ones are taken into account. That is appropriate for the practical environment in which transition rates of the Markov process are difficult to measure accurately. Correspondingly, some criteria are proposed to obtain state-feedback gains and event-triggering parameters simultaneously. Finally, we provide two examples to show the effectiveness of the proposed method.
在本文中，研究了存在拒绝服务（DoS）干扰攻击情况下马尔可夫跳跃系统的事件触发弹性L控制问题。首先，提出了一种基于固定下界的事件触发方案（ETS），以避免由外部干扰引起的芝诺现象。其次，当涉及DoS干扰攻击时，传输的数据被阻塞，并使用零阶保持器（ZOH）保持旧的控制输入。在此基础上，进一步讨论了DoS攻击对ETS的影响。接下来，通过利用状态反馈控制器和多重李雅普诺夫函数方法，提出了一些包含DoS干扰攻击限制的准则，以保证事件触发马尔可夫闭环跳跃系统的L控制性能。特别地，考虑的是有界转移速率而非精确的转移速率。这适用于马尔可夫过程转移速率难以精确测量的实际环境。相应地，提出了一些准则以同时获得状态反馈增益和事件触发参数。最后，给出两个例子以说明所提方法的有效性。
