The safety-region-based model predictive control for discrete-time systems under deception attacks

In this paper, a resilient control problem is investigated for the discrete-time linear system subjected to both input constraint and additive disturbances. In addition, deception attacks are also taken into consideration which could compromise the communication channels. To deal with the mentioned complexities, the so-called safety region-based defense strategy (SRDS) is designed in the context of the robust model predictive control (RMPC) method. The original constraints of the system are used to establish the safety region. Sufficient conditions are established for the proposed SRDS such that the recursive feasibility and stability of the overall closed-system are guaranteed. Finally, two numerical examples are conducted to verify the effectiveness of the proposed methodology.