Fault estimation and stabilization for Markovian jump systems with partial actuator degradation

This paper investigates the fault-tolerant control (FTC) problem of partial actuator degradation for a class of Markovian jump systems subject to unmeasurable states. In this study, a new adaptive fault observer is designed to solve the problem of fault estimation, which can estimate the states and level of failures simultaneously. Then, an observer-based controller is developed to stabilize the closed-loop system. Sufficient conditions for the existence of the observer gain and controller gain are obtained by solving a set of linear matrix inequalities. Finally, a numerical example is presented to illustrate the effectiveness of the proposed method.