The problem of parity based fault detection is studied for a kind of discrete-time singular systems, which is
described by Takagi-Sugeno(TS) fuzzy models. A reference fault model is introduced to reflect the faults’ prior knowledge and a residual generator is designed by introducing a new performance in Frobenius norm. The fault detection problem is converted to solve an optimization problem and a linear matrix inequality method is given to obtain the parity matrix. The given algorithm guarantees the achievement of the fault detection and simultaneously the maximal robustness of residual to disturbance. Finally, a numerical simulation shows the effectiveness of the proposed algorithm.