Memory-Event-based Distributed T-S Fuzzy Security Control for A Class of Cyber-Physical Systems under Replay Attack

In this paper, a distributed T-S fuzzy security control strategy based on memory events is proposed for a class of multi-input-multi-output (MIMO) cyber-physical systems (CPSs) that subjected to replay attacks. This strategy can also address common uncertainties in practical systems, including communication latency, unmodeled dynamics, and external unknown disturbances. It is worth noting that the replay attack model in the paper is highly generalized. And the attack location, target, and frequency are all uncertain. Therefore, a suitable distributed memory event-based strategy (DMEBS) is designed. It can dynamically adjust the usage of historical data to optimize the release of sampled data, thereby determining when to update the control laws of each subsystem, ensuring system performance while greatly saving communication resources. In addition, the stability of the system is demonstrated by establishing a suitable Lyapunov-Krasovskii (L-K) functional, ensuring the elimination of the Zeno phenomenon. Finally, the effectiveness of the proposed method is validated through simulations conducted on two commonly encountered practical systems.