Event-Driven Reduced-Order Fault Detection Filter Design for Nonlinear Systems With Complex Communication Channel

This article studies the problem of adaptive event-triggered-based reduced-order fault detection (FD) filter design for a category of nonlinear systems with complex communication channel under interval type-2 (IT2) fuzzy-approximation technique. For the purpose of further saving communication resources, a new adaptive event-triggered mechanism equipped with more comprehensive system information is proposed, which can also ensure that the data transmission rate is not lower than the minimum limit predesigned in real time. Considering the complexity of communication network environment, a new data transmission mathematical model with fading measurements and network induced delays is constructed. In addition, to decrease the design complexity of FD systems, a reduced-order FD filter subject to the adaptive event-triggered mechanism as well as mismatched membership functions is devised. By means of the Lyapunov theory, the sufficient criteria are derived to ensure stochastic stability with $H_{\infty }$ index for the FD systems. Finally, two practical examples are provided for the sake of verifying the effectiveness of the presented FD technique.