Actuator fault detection for discrete-time switched linear systems with output disturbance

In this paper, the problem of actuator fault detection for discrete-time switched systems with output disturbance is investigated. By using the descriptor observer method, an H_∞ fault detection filter is designed to guarantee that the augmented system is admissible and satisfies a prescribed H_∞ performance index. By utilizing switched Lyapunov function approach, a sufficient condition for the admissible of the augmented system is obtained. Based on the obtained results, a desired fault detection filter can be designed. All the results are formulated in the form of linear matrix inequalities. Finally, an example is proposed to illustrate the effectiveness of the developed method.