In this paper, we focus on developing a resilient stepped transmission scheme for nonlinear networked systems suffering from Denial-of-Service (DoS) attacks. Instead of employing static periodic sampling, the proposed acknowledgement-based adaptive sampler follows a resilient stepped algorithm to dynamically adjust the sampling period based on the absence or presence of DoS attacks. The dynamic sampling period is demonstrated to approach the boundary sampling interval to better adapt to the vulnerable environment, where the boundary sampling interval is the largest sampling period to ensure the boundedness of successful transmission interval in conventional periodic sampling scheme. Two impulsive observer-based control structures are presented to ensure the asymptotic stability of the equilibrium of systems, in which the latter one can better cope with the amplification of observer error in the presence of DoS. Numerical simulations are given finally to substantiate the validity of theoretical results.

中文翻译：

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针对 DoS 攻击的非线性系统的弹性阶梯式传输和控制


在本文中，我们专注于为遭受拒绝服务 （DoS） 攻击的非线性网络系统开发一种弹性阶梯式传输方案。所提出的基于确认的自适应采样器没有采用静态定期采样，而是遵循弹性步进算法，根据是否存在 DoS 攻击来动态调整采样周期。动态采样周期更能适应脆弱环境，其中边界采样间隔是最大的采样周期，以保证传统周期采样方案中成功传输间隔的有界性。提出了两种基于脉冲观察者的控制结构来确保系统平衡的渐近稳定性，其中后者可以更好地应对 DoS 存在下观察者误差的放大。最后，给出了数值模拟以证实理论结果的有效性。