Event-based asynchronous fault detection filter for switch T-S fuzzy systems under hybrid attacks

This article is concerned with the issue of event-triggered asynchronous fault detection filtering (AFDF) for switched T-S fuzzy systems (STSFSs) under hybrid attacks. First, a resilient event-triggering mechanism (ETM) is introduced, which not only removes the constraint that the interval between two consecutive triggering instants must be strictly less than the average dwell time but also ensures the immediate release of data upon the cessation of attacks. Second, the paper takes into account the simultaneous presence of deception attacks and DoS attacks in the transmission of network information. Within this framework, the transmission signals are susceptible to attacks, and the ETM causes asynchronous behavior between filter modes and system modes, increasing the complexity of the filter design. To conquer this challenge, the dynamic characteristics of the initial system are integrated with the fault detection filter, hybrid attacks, and ETM to formulate a novel switching residual model. Third, a set of multiple Lyapunov functions, correlating with the filter modes, system modes, and attack signals, which is constructed to analyze the exponential stability and $H_{\infty }$ performance of the switching residual system. Ultimately, the effectiveness of the proposed methods is validated through two illustrative examples.