Fault Detection for Networked Fuzzy Control Systems with Randomly Occurring Faults Under Event-Triggered Mechanism

This article is concerned with the issue of fault detection (FD) in Takagi-Sugeno (T-S) fuzzy systems, which are subjected to randomly occurring faults (ROFs) and time-varying delays, through the utilization of event-triggered mechanism. Wherein, a Markov chain with two states is employed to characterize the ROFs within the system. We primarily formulate a FD filter and establish sufficient conditions via Lyapunov-Krasovskii (L-K) function to ensure that the residual system attains asymptotic mean-square stability and satisfies the predetermined
$H_{\infty}$
performance criteria. Finally, simulation experiments are conducted on the tunnel diode circuit system to validate the efficacy of the proposed algorithm.