Fault Detection for Uncertain Delta Operator Systems with Limited Communication Based on T-S Fuzzy Model

A fault detection filter for uncertain delta operator systems based on T-S fuzzy model is designed. The phenomena of limited communication, packet dropouts, time delay and the uncertainty in the system are considered simultaneously in filter design. Then, by constructing the Lyapunov functional in delta domain, sufficient conditions for the augmented system with asymptotical stability and H
_∞
performance are proposed. Furthermore, the desired filter parameters can be obtained via linear matrix inequalities (LMIs). Finally, simulation results certify the effectiveness of the presented method.