Event-triggered fault detection observer design for affine fuzzy systems

This paper is concerned with the event-based fault detection observer design problem for a class of discrete-time nonlinear networked control systems with output saturation. The system is represented by the T-S affine fuzzy models, and it is assumed that the premise variables of these models are not necessarily measurable. Different from the existing results, an adaptive event-triggered mechanism is introduced to reduce the burden of communication by judging whether the measured data should be transmitted. Based on the piecewise Lyapunov function and free-weighting matrices technique, the design conditions are given in terms of linear matrix inequalities, which can ensure the residual is sensitive to faults. Finally, a numerical example verifies the validity of the proposed method.