Distributed non-fragile filtering for T-S fuzzy systems with event-based communications

This paper is concerned with the distributed non-fragile filtering for a class of discrete-time Takagi–Sugeno (T-S) fuzzy systems with event-based communication. Firstly, for the purpose of reducing communication, a general event generator is employed for sensors to determine the event time instant and then broadcast the measurement output to the filters. Each sensor node is capable to make its own decision to broadcast the current measurement only when its local measurement output error exceeds a specified threshold. Secondly, filter gain variation phenomenon reflecting the filter implementation uncertainties is also taken into account as the sensor networks are prone to uncertain disturbance in their application. A unified modeling is proposed to capture the event-based communication, packet dropouts and filter gain variations, which approximates the practical sensor network more closely. Based on the fuzzy Lyapunov functional, sufficient conditions have been presented such that the filtering error system is asymptotically stable with a prescribed weighted disturbance attenuation level. The filter gain parameters are determined by solving an optimization problem. Finally, a simulation study is given to show the effectiveness of the proposed new design.