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This paper deals with the problem of state estimation of T-S fuzzy systems subject to unknown inputs. The proposed observer is designed in finite frequency domain to reduce the conservatism generated by those designed in the entire frequency domain when the unknown input frequency ranges are known beforehand. First, a finite frequency H ∞ index is introduced to measure the robustness against unknown inputs. Then, design conditions are derived in linear matrix inequality terms. Finally, an illustrative example is introduced to check the developed methodology.

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