Adaptive backstepping control of Markovian jump systems with actuator faults

This paper considers the fault-tolerant control problem for continuous-time Markovian jump systems with actuator faults and matched nonlinearity. An adaptive control strategy is developed to solve this design problem. By on-line estimating the loss of effectiveness of actuators faults and the bounds of the nonlinearity function, the designing adaptive controller can compensate these effects completely and guarantee the stochastic stability of the resulting closed-loop system simultaneously. A numerical example is provided to verify the effectiveness of the proposed control method.