Fault diagnosis and fault tolerant control for discrete-time linear systems with sensor fault

Abstract In this paper, the problems of sensor fault estimation and accommodation for discrete-time dynamic systems are investigated. Firstly, an augmented system is constructed where the sensor fault variable is added to the state vector. Then based on the descriptor observer technique, the efficient conditions of fault estimation under the disturbance and without the disturbance are both obtained. Finally, a static output feedback controller is employed to tolerate the sensor fault such that the closed-loop system is asymptotically stable. At last, a numerical example is provided to illustrate the proposed technique.