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.

中文翻译：

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遭到拒绝服务干扰攻击的事件触发的马尔可夫跳跃系统的弹性L∞控制。

在本文中，在存在拒绝服务（DoS）干扰攻击的情况下，事件触发的弹性L∞控制问题与Markov跳跃系统有关。首先，提出了一种固定的基于下界的事件触发方案（ETS），以避免由外源性干扰引起的芝诺问题。其次，当涉及DoS干扰攻击时，将使用零阶保持器（ZOH）阻止传输的数据并保留旧的控制输入。在此过程的基础上，进一步讨论了DoS攻击对ETS的影响。其次，利用状态反馈控制器和多重Lyapunov函数方法，提出了一些结合DoS干扰攻击的准则，以保证事件触发的Markov闭环跳跃系统的L∞控制性能。特别是，考虑了有限的过渡率而不是确切的过渡率。这适用于难以精确测量马尔可夫过程的转变速率的实际环境。相应地，提出了一些准则来同时获得状态反馈增益和事件触发参数。最后，我们提供了两个例子来说明所提方法的有效性。