Distributed Event-Triggered $H_{\infty}$ Filtering for Discrete-Time T–S Fuzzy Systems Over Sensor Networks

This paper investigates the distributed event-triggered (ET) H
_∞
filtering problem for discrete-time T-S fuzzy systems over sensor networks. In order to mitigate the effect of channel noise on the filtering error systems, dynamic saturation levels are considered in this paper. Different from the existing linear distributed ET filters design results, new piecewise fuzzy distributed filters are established to address the challenges caused by the distributed ET mechanisms. By constructing piecewise differentiable Lyapunov functionals, sufficient conditions in terms of linear matrix inequalities are obtained to guarantee the exponential stability and desired performance of the filtering error system. Finally, two examples are employed to verify the effectiveness of the proposed method.