隐蔽攻击下信息物理系统的安全输出反馈控制

Secure control problem of cyber-physical systems (CPS) under stealthy attacks is studied. The Kullback-Leibler (KL) divergence is adopted to describe the attack＇s stealthiness. The aim is to design a secure dynamic output-feedback controller such that the reachable set, which is defined as the set that the system＇s state resides in with a certain probability, resides in a safe set. Firstly, an ellipsoidal outer approximation for the set of residual under stealthy attacks is given. Secondly, based on the approximation and the ranges of noises, the relationship between controller＇s parameters and the ellipsoidal invariant reachable set is analyzed. Thirdly, a convex optimization problem is constructed by designing an invertible linear transformation. Parameters of the secure controller and the corresponding invariant reachable set are obtained by solving the problem. Finally, a simulation of the spring-mass-damping system is given to verify the effectiveness of the proposed controller.