Authors
Hongyi Li, Yabin Gao, Ligang Wu, Hak-Keung Lam
Publication date
2014/6/5
Journal
IEEE transactions on cybernetics
Volume
45
Issue
2
Pages
229-241
Publisher
IEEE
Description
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 …
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