Fault detection for networked control systems with quantization and Markovian packet dropouts

In this paper, the problem of fault detection is investigated for networked control systems with signal quantization and random packet dropouts. In the study, the packet dropouts are modeled by a time-homogeneous Markov process. A residual generator is constructed, and the corresponding fault detection problem is converted into an ^H∞ filtering problem. A sufficient condition for the design of fault detection is derived, which makes the resulting residual system to be stochastically stable with a prescribed ^H∞ performance level. Finally, a numerical example is given to illustrate the effectiveness and efficiency of the proposed design method.