Fault detection filter design for switched fuzzy systems with average dwell time

The problem of fault detection filters for switched fuzzy systems with average dwell time (ADT). Each subsystem is described by affine fuzzy model, and the fuzzy rule is established by means of the system output, that is, the system outputs have been chosen as premise variables to guarantee that the model changes in the advance region partitioning as the output. Weighted 2 performance for switched affine fuzzy systems with ADT is firstly presented. The problem of fault detection synthesis is converted into an robust filtering problem. With the aid of multiple Lyapunov functions and Projection Lemma, the condition is given in terms of linear matrix inequalities (LMIs).