Event-triggered fault detection filtering for discrete-time Markovian jump systems

This paper addresses the problem of fault detection for discrete-time Markovian jump systems in an event-triggered scheme. An event-triggered scheme from the plant to the fault detection filter is used to reduce the transmission frequency. The purpose is to design a fault detection filter such that the residual system is stochastically stable and satisfies the performance expectation. The conditions for existence are obtained for a class of discrete-time Markovian jump systems. If these conditions are feasible, a desired event-triggered fault detection filter can be easily constructed. In addition, the cone complementarity linearization procedure is used to cast the filter design problem with a sequential minimization problem, which can be efficiently solved using the current optimization techniques. Finally, a numerical example is given to illustrate the effectiveness of the proposed theory.