Hybrid‐triggered based reliable filter design for interval type‐2 fuzzy system under deception attacks and missing measurements

Abstract This study inspects the problem of fault‐tolerant control based filter design for interval type‐2 (IT‐2) fuzzy systems with deception attacks and missing measurements, under hybrid‐triggered mechanism. At first, hybrid‐triggered mechanism is commenced to preserve the network bandwidth and also to maintain the competent system performance. Next, the existence of deception attack in the filter infuses unwanted data in the measurement output in order to limit the transmitted signal in the communication networks. The behaviors of triggering mechanism and attack signals are governed by stochastic Bernoulli distribution. Moreover, the missing measurements phenomenon is also characterized by stochastic random variables, which observes the data loss between system and the filter during the transference of information. The sensor failure, deception attack and missing measurement are the key factors that will destruct the network security completely. Further, by endowing Lyapunov stability theory and linear matrix inequality (LMI), a set of adequate conditions is fabricated to ensure the mean‐square asymptotic filtering of the proposed IT‐2 fuzzy system. Subsequently, the filter gain matrices are exhibited with desired LMI conditions. Eventually, the capability and usefulness of the proposed fault‐tolerant filter scheme is substantiated via two numerical examples which includes a tunnel diode application.