Dynamic event-triggered H∞ filtering for Takagi–Sugeno fuzzy systems under denial-of-service attacks

This article investigates the problem of $H_{\infty }$ filtering for Takagi–Sugeno (T–S) fuzzy systems under denial-of-service (DoS) attacks. A new dynamic event-triggered mechanism (DETM) combined with DoS attack is proposed, which can dynamically optimize the trigger parameters in accordance with the change of external output. This mechanism can successfully transmit the most recent measurement output to the filter once the DoS attack has ceased; in the DoS inactive periods, the mechanism degenerates into a conventional DETM. Moreover, an effective DoS attack (EDA) model is introduced to describe the possible situations occurring between adjacent sampling instants. Then, the filtering error system is structured as a switched system model based on DoS attacks. By leveraging the segmented Lyapunov-Krasovskii functional method, sufficient criteria for designing a security filter to counteract DoS attacks in T–S fuzzy systems are established, this ensures the system’s $H_{\infty }$ exponential stability. Finally, the effectiveness of the proposed method is verified by two simulation examples.