Fault Tolerant Control of Markovian Jump Systems with Uncertain Parameters

In this paper, the problems of fault estimation (FE) and fault-tolerant control (FTC) are addressed for a class of Markovian jump systems with uncertainties and external disturbances. First, to conveniently obtain estimations of the state vector, sensor/actuator fault vector, and disturbance vector, an augmented descriptor system is presented. Subsequently, a sliding-mode observer is designed to eliminate the effects of actuator/sensor faults on the estimation performance. Based on the FE, an observer-based FTC scheme is then developed to stabilize the system stochastically. Finally, the effectiveness and realizability of the proposed scheme are illustrated based on a numerical example.