Fault-tolerant control and observer design for uncertain fuzzy descriptor systems

In this paper, the problems of estimations of faults and fault-tolerant control design are simultaneously discussed for a class of uncertain Takagi-Sugeno fuzzy descriptor systems. First, a fuzzy adaptive observer, which can decouple the external disturbances, is proposed to provide the state, actuator fault and sensor fault estimations. Then, on the basis of the estimated information, an actuator fault-tolerant controller is proposed to stabilize the descriptor closed-loop system while attenuating the disturbances by the H technique. The existence conditions of the designed observer and controller are given in terms of linear matrix inequalities, which can be solved easily by some mathematical tools. Finally, a numerical example is provided to validate the effectiveness of the proposed methods.