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Less conservative \(\mathcal{H}_{\infty}\) fuzzy control for discrete-time Takagi-Sugeno systems - MaRDI portal

Less conservative \(\mathcal{H}_{\infty}\) fuzzy control for discrete-time Takagi-Sugeno systems (Q541459)

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scientific article; zbMATH DE number 5904888
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English
Less conservative \(\mathcal{H}_{\infty}\) fuzzy control for discrete-time Takagi-Sugeno systems
scientific article; zbMATH DE number 5904888

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    Less conservative \(\mathcal{H}_{\infty}\) fuzzy control for discrete-time Takagi-Sugeno systems (English)
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    7 June 2011
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    Summary: New analysis and control design conditions of discrete-time fuzzy systems are proposed. Using fuzzy Lyapunov's functions and introducing slack variables, less conservative conditions are obtained. The controller guarantees system stabilization and \(\mathcal{H}_{\infty}\) performance. Numerical tests and a practical experiment in Chua's circuit are presented to show the effectiveness.
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