The resilient control refers to the control methodology which provides an interdisciplinary solution to secure the control system. In this paper, the resilient control problem is investigated for a class of wireless networked control systems (WNCS) under a denial-of-service (DoS) attack. In the presence of the DoS attacker, the control command sent by the transmitter may be interfered, which can cause the degradation of the signal-to-interference-plus-noise ratio and further lead to packet dropout phenomenon. Such a packet dropout phenomenon is described by a two-state Markov-chain. A cross-layer view is adopted toward the security issue of the considered WNCS. The Nash power strategies and optimal control strategy in the delta-domain are obtained in the cyber- and physical-layer, respectively. Based on the obtained strategies, the coupled-design problem is solved which aims to drive the underlying control performance to the desired security region by dynamically manipulating the cyber-layer pricing parameters. Finally, a numerical simulation is conducted to verify the validity of the proposed methodology.

中文翻译：

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拒绝服务攻击下无线网络控制系统的弹性控制：一种跨层设计方法

弹性控制是指提供跨学科解决方案以确保控制系统安全的控制方法。本文针对拒绝服务（DoS）攻击对一类无线网络控制系统（WNCS）的弹性控制问题进行了研究。在存在DoS攻击者的情况下，发送方发送的控制命令可能会受到干扰，这可能导致信号干扰加噪声比降低，并进一步导致数据包丢失现象。这样的分组丢失现象由二状态马尔可夫链描述。针对所考虑的WNCS的安全性问题采用了跨层视图。分别在网络层和物理层获得了Delta域中的Nash功率策略和最优控制策略。根据获得的策略，解决了耦合设计问题，该问题旨在通过动态操纵网络层定价参数来将基础控制性能驱动到所需的安全区域。最后，进行了数值模拟，以验证所提出方法的有效性。