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This paper addresses the problem of fault estimation observer design with finite-frequency specifications for discrete-time Takagi–Sugeno (T-S) fuzzy systems. First, for such T-S fuzzy models, an $H_\infty $ fault estimation observer with pole-placement constraint is proposed to achieve fault estimation. Based on the generalized Kalman–Yakubovich–Popov lemma, the given finite-frequency observer...
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