具有DoS攻击非线性网络的动态事件触发控制

Dynamic event-triggered control for nonlinear network with DoS attack

中文关键词  非线性网络化系统  DoS攻击  动态事件触发  H∞控制器  Young’s不等式

英文关键词  nonlinear networked systems  denial-of-service attack  dynamic event-triggered  H-infinity controller  Young’s inequality

中文摘要

      针对非线性网络控制系统存在的拒绝服务(DoS)攻击设计一种具有动态事件触发策略的H∞安全控制器. 首先, 将DoS攻击引起的丢包影响作为触发条件的不确定性, 针对这个不确定性以及在静态事件触发中引入一个内 部动态参数, 设计动态事件触发机制, 在此基础上设计具有H1性能的安全控制器. 然后, 考虑网络通道中网络诱导 时延对系统的影响, 建立能够体现时延上下界信息的Lyapunov-Krasovskii泛函, 依据Lyapunov稳定性理论、Young’s 不等式、Schur补引理、单边Lipschitz条件、二次内有界和动态事件触发条件推导出系统存在安全控制器的条件, 继 续利用一些特殊导数, 将双线性矩阵不等式转化为一组线性矩阵不等式, 从而实现触发参数与反馈增益的协同设 计, 同时保证存在DoS攻击的安全性能. 最后, 通过一个数值例子验证所提方法的有效性.

英文摘要

      An H-infinity security controller with dynamic event-triggered strategy is designed for the nonlinear networked control systems with denial-of-service (DoS) attack. First of all, the impact of packet loss caused by DoS attack is taken as the uncertainty of dynamic trigger condition. In view of this uncertainty and an internal dynamic parameter is introduced into the static event-triggered, the dynamic event-triggered mechanism is designed. On this basis, a security controller with H-infinity performance is designed. Then, considering the influence of network-induced delay on the system in the network channel, a Lyapunov-Krasovskii functional which can reflect the upper and lower bounds of the delay is established. According to Lyapunov stability theory, Young’s inequality, Schur’s complement lemma, one-sided Lipschitz condition, quadratic inner-bounded condition and dynamic event-triggered condition, the conditions for the existence of safety controller are deduced. By using some special derivatives, the bilinear matrix inequality is transformed into a set of linear matrix inequalities, so as to realize the cooperative design of trigger parameter and feedback gain, and ensure the security performance of DoS attack. Finally, a numerical example is given to verify the effectiveness of the proposed method.