隐蔽式攻击下的离散系统区间观测器设计

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.