Integrated design of an observer-based fault detection system over unreliable digital channels

In this paper, the observer-based fault detection problem over an unreliable digital channel is studied. The channel qualities, which are usually called Quality of Service (QoS), i.e. packet loss probability and quantization error, are first analyzed in the view of control engineering, and they are transferred into stochastic parameters and system uncertainties. Then it is shown that the fault detection system can be modeled in a framework of stochastic uncertain systems. With a given observer the requirements of QoS for an expected fault detection performance are established by solving an optimization problem with the help of linear matrix inequalities (LMIs). Then for the given QoS of a channel, the optimal observer for fault detection is also derived. Finally the integrated design of QoS and the fault detection system is discussed.