Fault-tolerant control and optimal fault hiding for discrete-time linear systems

This paper proposes a fault-tolerant control method for discrete-time linear systems with actuator fault. The proposed method is based on the fault hiding methodology. First, the considered system is converted as a single perturbed system representation and then a fault estimation observer is designed to estimate the fault. Based on the fault estimation result, a virtual actuator design method is proposed to achieve optimal fault hiding. The virtual actuator consists of a feedback part and a feedforward term. The feedback part is used to ensure the closed-loop stability and the feedforward term is designed to achieve optimal performance recovery. Finally, an aircraft example is simulated to demonstrate the effectiveness and performance of the proposed method.