Fault detection based on distributed redundant sensors

This paper deals with the fault detection problem for a class of discrete-time networked systems with distributed redundant sensors and multiple packet dropouts. Due to higher safety, reliability and lifetime requirements, the selective sensors are arranged at each switching time to measure output and packets from the chosen groups of sensors drop stochastically at different missing rates during transmission. A robust fault detection filter is designed to make errors between the residuals and the fault signals as small as possible under arbitrary switching laws. By using a switched Lyapunov function approach, the stability of the desired fault detection filter is verified and the parameters are derived by solving a set of linear matrix inequalities. A simulation example is provided to demonstrate the effectiveness of the proposed method.