Anti-Disturbance Intermediate Observer-Based Fault Estimation and Fault-Tolerant Control for Markovian Jump Systems

This article investigates the problem of anti-disturbance fault estimation (FE) and fault-tolerant control (FTC) for Markovian jump systems (MJSs). First, by incorporating sensor faults and disturbances into the system state, the original system is reformulated into a new structure that facilitates observer design. Then, an intermediate observer (IO) is proposed to estimate states, faults, and disturbances. The proposed IO is easier to implement, as it requires neither equality constraints nor derivative information regarding the system output. More importantly, the handling of disturbances does not rely on traditional sliding mode techniques, $H_{\infty } $ methods, and decoupling methods. Furthermore, a comprehensive design scheme is presented to stabilize the system under large faults and disturbances, including the fault-tolerant controller and output compensation mechanism. Finally, the effectiveness of the developed method is demonstrated using the F-404 aircraft engine system.