Finite-time fault estimate and fault-tolerant control for discrete-time Markov jump systems with actuator and sensor faults

This paper solves the finite-time fault estimation (FE) and fault-tolerant control (FTC) problem for discrete-time Markov jump systems with actuator and sensor faults. A new extended state system is constructed by taking the fault as a state. For this system, a novel observer is shown to estimate states, actuator and faults of considered systems, simultaneously. Based on the utilized estimation, a fault-tolerant controller is proposed to ensure the finite-time boundedness of closed-loop ones with H infinity$$ {H}_{\infty } $$ performance. The feasibility of the proposed finite-time FE and FTC scheme is illustrated based on a simulation example.