隐蔽式攻击下的离散系统区间观测器设计

Interval observer design of discrete-time systems under stealthy attacks

本文研究了隐蔽式攻击下的网络化控制系统的安全估计问题.首先,根据攻击保持隐蔽的条件,得到了攻击信号的上界和下界.其次,基于边界信息设计了一类原坐标系下的区间观测器,并进一步通过坐标变换放宽增益矩阵的设计条件,给出了变换下的区间观测器设计方法.然后,提出了基于H∞滤波理论计算隐蔽式攻击下的最优观测器增益的方法,并通过求解线性矩阵不等式获得最优增益矩阵.最后,通过仿真算例验证了所提方法的有效性.

This paper investigates the security estimation of networked control system under stealthy attacks.Firstly,the upper and lower bounds of the attack signals are obtained according to the condition that the attacks remain stealthy.Secondly,based on the bounds of the attacks,an interval observer is designed in the original coordinates.Furthermore,the design conditions of the gain matrix are relaxed by a transformation of coordinates,and the design method of this interval observer is given.Then,an approach is proposed to calculate the optimal observer gain based on the theory of H∞ filtering,and the optimal gain matrix is obtianed by solving a linear matrix inequality.Finally,a numerical example is given to verify the effectiveness of the proposed method.