Event-Based Impulsive Control of IT2 T-S Fuzzy Interconnected System Under Deception Attacks

In this article, impulsive control issue of the interval type-2 Takagi-Sugeno (IT2 T-S) fuzzy interconnected system is investigated via dynamic event-triggered mechanism (DETM), wherein deception attacks are considered. First of all, a more constrictive DETM is proposed, in which an exponential attenuation function is introduced to approximate the system states such that the error part is reconstructed. Then, under this exponential-type DETM, a new event-based impulsive control strategy is designed, which not only include the impulsive control on event instants, but also a state feedback control part with time-varying gains during the interval time of two consecutive events. The core idea is that the added feedback part can be regarded as a bridge, which connects the two consecutive impulse injections. Besides, input-to-state stability of the concerned system is investigated by transforming the attack signals into a residual term, so that some stability criteria are derived in spite of the unpredictable deception attacks. The nonexistence of Zeno behaviors is also guaranteed indirectly by utilizing the comparison relationship between DETM and its static counterpart. Finally, the validity of the proposed control strategy is verified by two illustrative examples.

Automated summary

This article investigates the impulsive control issue of the interval type-2 Takagi-Sugeno fuzzy interconnected system using a dynamic event-triggered mechanism to defend against deception attacks. A new event-based impulsive control strategy, incorporating a state feedback control part with time-varying gains, is designed to connect two consecutive impulse injections. The nonexistence of Zeno behaviors is indirectly guaranteed through comparison relationships and the effectiveness of the proposed control strategy is validated through illustrative examples.