Simultaneous state and fault estimation of discrete-time Markovian jump stochastic systems: The event-triggered design

In this paper, the state and fault estimation problem is investigated for a class of discrete-time Markovian jump systems with unknown disturbances and actuator faults. The unknown disturbances, satisfying the zero-mean Gaussian distribution, are introduced to reflect the limited capacity of the communication networks resulting from the noisy environment. On the one hand, a novel event-triggered fault estimator and the corresponding event condition are proposed where the task is to reconstruct both system states and actuator faults under the aperiodic data transmission. On the other hand, estimator gains are derived using the stochastic stability in terms of a set of standard linear matrix inequalities. Finally, a simulation example is given to illustrate the usefulness of the developed event-triggered fault estimation approach.