Adaptive fault estimation design for T-S fuzzy systems with interval time varying delay

This paper is concerned with fault estimation design for continuous-time Takagi-Sugeno (T-S) fuzzy systems with time delay by using adaptive fault diagnostic observer. Through constructing an appropriate type of Lyapunov function, criteria is established to reduce the conservatism of the design procedure. Based on appropriate type of Lyapunov function, new sufficient delay-dependent conditions are given to guarantee the stability of error dynamics in terms of Linear Matrix Inequalities (LMI). Finally, the effectiveness of the proposed approach is illustrated through a simulation example.