未知周期DoS攻击下奇异摄动信息物理系统H∞滤波设计

针对奇异摄动信息物理系统在未知周期拒绝服务攻击(denial-of-service,DoS)下的状态估计问题,提出事件触发多时间尺度切换滤波器设计方法.首先,在传感器与滤波器之间引入事件触发机制确定采样数据是否传输至网络中,可以达到节约网络资源的目的;然后,在此事件触发机制的基础上,考虑未知周期Dos攻击问题,建立滤波误差切换系统,通过构建依赖奇异摄动参数的Lyapunov函数,提出奇异摄动信息物理系统切换滤波器设计方法,得到较小的估计误差,从而克服设计过程中的病态数值问题,降低网络通信中DoS攻击对系统的不良影响,保证误差系统指数稳定且满足H_∞性能,实现未知周期DoS攻击下系统的状态估计;最后,利用电路仿真算例验证所提出的滤波器设计方法的有效性.

$H_infty$ filter design for singularly perturbed cyber-physical system under unknown period DoS attack

To solve the problem of state estimation of the singularly perturbed information physical systems under unknown cycle denial-of-service (DoS) attack, a design method of the event-triggered multi-time scale switching filter is proposed. Firstly, an event triggering mechanism is introduced between the sensor and the filter to determine whether the sampled data is transmitted to the network, which can save the network resources. Then, on the basis of this event triggering mechanism, considering the DoS attack problem of unknown cycle, a filtering error switching system is established. By constructing a Lyapunov function which depends on singular perturbation parameters, a switching filter design method for the singular perturbation information physical system is proposed, which reduces the estimation error, overcomes the ``ill-conditioned numerical problems" in the design process, reduces the adverse effect of DoS attack on the system in network communication, and ensures the exponential stability of the error system and satisfies $H_\infty$ performance, thus the system state estimation under unknown cycle DoS attack is realized. Finally, a circuit simulation example is used to illustrate the effectiveness of the proposed filter design method.