H_∞ descriptor fault detection filter design for T-S fuzzy discrete-time systems

This paper deals with the problem of H∞ descriptor fault detection filter design for T-S fuzzy discrete-time systems. By using the descriptor system method, a H∞ fault detection filter is designed to guarantee that the residual system is admissible and satisfies the H∞ performance index when control inputs, actuator faults and unknown bounded disturbances are included in the systems. By means of Lyapunov functional approaches, a sufficient condition for the admissibility of the residual system is expressed in form of linear matrix inequalities. The desired detection filter is obtained. A numerical example is presented to illustrate the effectiveness of this developed method.