Fault Detection for Interconnected Systems Subject to Packet Dropouts via Switching Scheme

The design of fault detection filter for interconnected systems with packet dropouts occurring in measurement channels is proposed in this paper. Taking into account arbitrary disconnected interconnection among subsystems, switching scheme is introduced to simplify the analysis of the problem. By modeling these situations as independent subsystems, the novel systems based on arbitrary switched systems are remodeled. The design of the filter makes the augmented system exponentially stable and satisfies the disturbance attenuation performance. A feasible linear matrix inequality for the existence of filter is derived by switched Lyapunov method based on stochastic function. Finally, two examples are shown to illustrate the method and its effectiveness.