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Parameterization of nonlinear \(H^ \infty\) state-feedback controllers - MaRDI portal

Parameterization of nonlinear \(H^ \infty\) state-feedback controllers (Q1372761)

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scientific article; zbMATH DE number 1081902
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English
Parameterization of nonlinear \(H^ \infty\) state-feedback controllers
scientific article; zbMATH DE number 1081902

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    Parameterization of nonlinear \(H^ \infty\) state-feedback controllers (English)
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    30 October 1997
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    State-space formulas are derived for a family of controllers solving the nonlinear \(H^\infty\) state-feedback control problem. These controllers are obtained by interconnecting the ``central controller'' with an asymptotically stable, free system that satisfies one additional cascade condition. All proofs given are simple and clear, and also provide a deeper insight into the synthesis of the corresponding linear \(H^\infty\) controllers.
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    \(H^ \infty\) control
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    state-space formulas
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    nonlinear \(H^ \infty\) state-feedback
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