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\(H^{\infty}\) performance of preview control systems - MaRDI portal

\(H^{\infty}\) performance of preview control systems (Q1868087)

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scientific article; zbMATH DE number 1901010
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English
\(H^{\infty}\) performance of preview control systems
scientific article; zbMATH DE number 1901010

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    \(H^{\infty}\) performance of preview control systems (English)
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    27 April 2003
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    The performance of preview control is investigated in terms of an \(H^\infty\) criterion. In the infinite-horizon time setting, the limitation of \(H^\infty\) performance in preview control action is characterized with a Hamiltonian matrix. By employing the properties of Hamiltonian matrices, the solvability and analytic solution for the preview full-information control problem are clarified based on an auxiliary introduced matrix Riccati equation. A property of the resulting control law is illustrated with a numerical example.
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    preview control
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    predictive control
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    \(H^\infty\) control
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    operator Riccati equation
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    tracking system
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    performance limitation
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    Hamiltonian matrix
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