title: Fault detection for T-S fuzzy time-delay systems: delta operator and input-output methods.
abstract: This paper focuses on the problem of fault detection for Takagi-Sugeno fuzzy systems with time-varying delays via delta operator approach. By designing a filter to generate a residual signal, the fault detection problem addressed in this paper can be converted into a filtering problem. The time-varying delay is approximated by the two-term approximation method. Fuzzy augmented fault detection system is constructed in δ -domain, and a threshold function is given. By applying the scaled small gain theorem and choosing a Lyapunov-Krasovskii functional in δ -domain, a sufficient condition of asymptotic stability with a prescribed H∞ disturbance attenuation level is derived for the proposed fault detection system. Then, a solvability condition for the designed fault detection filter is established, with which the desired filter can be obtained by solving a convex optimization problem. Finally, an example is given to demonstrate the feasibility and effectiveness of the proposed method.
authors.forename: Hongyi
authors.initials: H
authors.lastname: Li
authors.forename: Yabin
authors.initials: Y
authors.lastname: Gao
authors.forename: Ligang
authors.initials: L
authors.lastname: Wu
authors.forename: H K
authors.initials: HK
authors.lastname: Lam