Fault Detection for Delta Operator Systems with Multi-packet Transmission and Limited Communication

In this paper, the fault detection problem for a multi-packet transmission network control system with limited communication and random delay is studied. The communication sequence method is introduced to deal with the limited communication problems in the system, and a multi-packet transmission is equivalent to a Markov jump process. A fault detection filter based on delta domain is established for the system model to generate the residual signal. The residual and fault signals are further used to generate the residual error so that the fault signal can be detected intuitively. Through linear matrix inequality (LMI) method and Lyapunov-Krasinskii stability theory, the designed H-infinity fault detection filter's stability conditions are gained. Finally, a numerical simulation example is shown to demonstrate the availability of the proposed method.