Adaptive sliding-mode control for stochastic Markovian jumping systems with actuator faults

This study is concerned with the fault tolerant control for stochastic Markovian jumping systems with actuator faults including loss of effectiveness, stuck, and outage. By introducing switching laws and according to the information from the adaptive scheme, a novel adaptive sliding mode controller is designed, which ensures the closed-loop system to be robustly stochastically stable in the presence of actuator faults. Moreover, the reachability of the sliding surface and the stability of the sliding mode dynamics are guaranteed in spite of actuator faults and Markovian jumping. Finally, a simulation example is given to illustrate the effectiveness of the proposed method.