FAULT DETECTION FOR SINGULAR TS FUZZY SYSTEMS WITH TIME-DELAY

Abstract

The robust fault detection filter design problem for singular TS fuzzy systems with time-delay is studied. Using an observer-based fuzzy fault detection filter as the residual generator, the fault detection filter design is converted to an H∞ filtering problem such that the generated residual is the H∞ estimation of the fault. Sufficient conditions are given, which guarantee the robust H∞ fault detection filter exists. And by using the cone complementarity linearization iterative algorithm, the fault detection filter design is converted to solving a sequence of convex optimization problems subject to LMIs. The premise variables of the designed fuzzy filter are not demanded to be the same as the premise variables of the TS fuzzy model of the plant.