On design of fault detection filter for nonlinear Markovian jump systems with sensor saturations

This paper addresses the fault detection problem for discrete-time Markovian jump systems with incomplete knowledge of transition probabilities, randomly varying nonlinearities and sensor saturations. An optimized fault detection filter is designed such that 1) the fault detection dynamics is stochastically stable; 2) the effect from the exogenous disturbance on the residual is attenuated with respect to a minimized H_∞-norm; and 3) the sensitivity of the residual to the fault is enhanced by means of a maximized H_∞-norm. The characterization of the gains of the desired fault detection filters is derived in terms of the solution to a convex optimization problem. Finally, a simulation example is employed to show the effectiveness of the scheme proposed in this paper.