Robust fault detection filter design for networked control systems based on state observer

This paper is concerned with the problem of fault detection for networked control systems (NCS), which based on delta operator. By using delta operator, a new model is proposed, then, based on the traditional shift operator described observer-based fault detection filter design, gives the delta operator model on NCS. The problem with uncertain delay and norm bounded unknown input affect NCS robust fault detection filter design problem boils down to the H∞ filter design. By using the linear matrix inequality (LMI), solve the H∞ filter optimal solution, which can ensure that the unknown input delay and uncertainty robustness, but also to maximize the sensitivity of the residual signal for fault. Finally, a numerical example is provided to show the effectiveness of the proposed design method.