攻击防御下信息物理系统的H_(∞)控制

H_(∞) control for cyber-physical system under attack defense

针对无线信道攻击对信息物理系统正常运行的影响,基于切换控制的思想,将系统等价为两个系统:控制器正常的稳定子系统和控制器失效的不稳定子系统。基于李雅普诺夫函数及平均驻留时间法,得出确保系统指数稳定且具有加权l2增益的充分条件;基于线性矩阵不等式给出满足H_(∞)性能指标的稳定条件。最后通过数值仿真验证该状态反馈控制器的有效性。

To solve the problem of wireless channel attacks on the normal operation of cyber-physical systems,it was equivalent to two systems based on the idea of switching control,one was the stable subsystem with normal controller,the other was the unstable one with invalid controller.In the unstable subsystem,based on the Lyapunov function and the average residence time method,sufficient conditions to ensure the system’s exponential stability and the weighted l2 gain were obtained;based on the linear matrix inequality,the stable conditions to satisfy the H_(∞)performance index were given.Finally,numerical simulation was conducted to prove that this method was feasible.