Fault detection for discrete-time linear systems based on descriptor observer approach

This paper investigates the problem of actuator fault detection filter design for discrete time linear systems with output disturbance. By using the descriptor observer method, an H-infinity fault detection filter is designed to guarantee the residual system is admissible and satisfies the H-infinity performance. By utilizing Lyapunov function approach, a sufficient condition for the admissible of the residual system is obtained in the form of linear matrix inequality (LMI). The desired fault detection filter can be designed by solving a set of LMIs. Finally, a numerical example is proposed to illustrate the effectiveness of the developed method. (C) 2016 Elsevier Inc. All rights reserved.