Event-triggered finite-time fault-tolerance control and simultaneous disturbance rejection for Markov jump systems with general transition probabilities

This paper employs an event-triggered control approach to investigate the simultaneous finite-time fault-tolerant control and disturbance rejection problem for stochastic Markovian jump systems with general transition probabilities. Firstly, in conjunction with the event-triggered mechanism, a novel composite observer is designed, which can not only simultaneously estimate states and faults as well as disturbances of the system, but also guarantee that the error system is stochastically finite-time bounded. Subsequently, leveraging the obtained estimations, an active fault-tolerant controller with anti-disturbance performance is constructed to guarantee the finite-time boundedness of closed-loop system. Finally, the effectiveness of the proposed scheme is verified by distinct examples.