Security Control for Cyber-Physical Systems With Optimal Dynamic Stealthy Actuator Attacks

This paper studies the security control problem for a class of cyber-physical systems with optimal dynamic stealthy actuator attacks. The minimum principle is used to design actuator attacks which satisfy an objective function presented in the paper. The ellipsoidal outer approximation is adopted to quantify the potential impact of stealthy actuator attacks. Meanwhile, the attack-free performance is guaranteed through the L∞ performance index function. It provides an analysis tool based on the linear matrix inequality technique to redesign the state feedback matrix and the observer gain matrix of the plant, which ensures that the volume of its ellipsoidal outer approximation is minimal while meeting the L∞ performance index function. Eventually, the simulation example is presented to demonstrate the effectiveness of the proposed control algorithm.