Robust H∞ fault detection for networked control systems with multi-packet transmission

The problem of robust fault detection is considered for networked control systems with multi-packet transmission and unknown interference inputs. Firstly, the state observer is constructed, and the observer error equation is equaled to the discrete switched system under the dynamic scheduling strategy. Secondly, based on Lyapunov stability theory, the sufficient condition for the observer system being a robust H∞ state observer and the method to find the observer gain matrix are both given. Moreover, in order to enhance the robustness and sensitivity, the threshold is selected to solve the minimization problem with a linear matrix inequality constraint. Finally, an illustrative example shows the effectiveness of the proposed method.