Stabilization of Markovian Jump Systems With Controller Failures

This paper focuses on the stabilization problem of continuous-time Markovian jump systems with controller failures. Here, the controller with a fault or not corresponds to a controller useful or not. First, a controller experiencing a fault or not is proposed, whose dwell times of controller useful or not are different constants and taken into account. Since the designed controller could bear faults in alternate intervals, it is named as a fault-tolerant controller here. Then, by constructing a Lyapunov function depending on such two states in terms of controller useful or not, concise conditions for the existence of controller are obtained and could be solved easily, in which the dwell times are included. Finally, a practical example is given to illustrate the effectiveness of the proposed methods.