\(H_\infty\)-norm simultaneous stabilization performance design for a family of stable minimum phase plants (Q2725449)

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scientific article; zbMATH DE number 1619231
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\(H_\infty\)-norm simultaneous stabilization performance design for a family of stable minimum phase plants
scientific article; zbMATH DE number 1619231

    Statements

    2 January 2002
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    parametrization of stabilizing controllers
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    simultaneous stabilization
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    nested model structures
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    Nyquist stability criterion
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    design
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    \(H_\infty\)-norm simultaneous stabilization performance design for a family of stable minimum phase plants (English)
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    This paper discusses the \(H_\infty\)-norm simultaneous stabilization performance design problem of a family of SISO stable minimum phase plants. The author introduces the new concept of nested model structures in the framework of the Nyquist curve. Based on the Nyquist stability criterion and the parametrization of simultaneously stabilizing controllers, the design method and steps for the simultaneous stabilization performance of the above-mentioned plants is given. At the end, two examples illustrate the actual applicability and effectiveness of the design method.
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