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This paper proposes a sampled-data H&#x221E; fuzzy observer technique for nonlinear uncertain oscillating systems that are represented by the Takagi-Sugeno fuzzy model. The observers are designed for two cases: a measurable premise variable and an immeasurable premise variable. The error system between the nonlinear uncertain system and the sampled-data observer is constructed. The H&#x221E; performance function for the oscillating system is defined and is guaranteed in the Lyapunov sense. Sufficient conditions for the H&#x221E; sampled-data fuzzy observer are given in terms of linear matrix inequalities. Finally, the feasibility of the proposed technique is shown using two simulation examples.

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Sampled-Data <inline-formula> <tex-math notation="LaTeX">$H_\infty$ </tex-math></inline-formula> Fuzzy Observer for Uncertain Oscillating Systems With Immeasurable Premise Variables

Sampled-Data $H_\infty$ Fuzzy Observer for Uncertain Oscillating Systems With Immeasurable Premise Variables