State-Feedback Control for Cyber-Physical Discrete-Time Systems under Replay Attacks: An LMI Approach

Abstract

This paper addresses the state-feedback control problem for cyber-physical discrete-time linear systems. The main goal is to design state-feedback controllers that can mitigate the interference of replay attacks in the stability of the closed-loop system. The system under replay attack is modeled as a switched linear system, and a packet-based approach is employed for control design. New conditions in the form of Linear Matrix Inequalities are presented to provide stabilizing controllers. Numerical experiments illustrate the effectiveness of the proposed method.