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Synthesis of controllers for multivariate systems with a given radius of stability margin by the \(H_\infty\)-optimization method - MaRDI portal

Synthesis of controllers for multivariate systems with a given radius of stability margin by the \(H_\infty\)-optimization method (Q1881973)

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scientific article; zbMATH DE number 2108514
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Synthesis of controllers for multivariate systems with a given radius of stability margin by the \(H_\infty\)-optimization method
scientific article; zbMATH DE number 2108514

    Statements

    Synthesis of controllers for multivariate systems with a given radius of stability margin by the \(H_\infty\)-optimization method (English)
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    18 October 2004
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    Output controllers guaranteeing a given radius of stability margin for linear multivariate systems are synthesized. This radius defines the bounds of the guaranteed stability margin for phase and gain when the object-controller loop is broken by the physical output or input. This problem is solved through an equivalent \(H_{\infty}\)-optimization problem, which yields necessary and sufficient conditions. Several computational aspects are discussed.
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    \(H_{\infty}\) optimization problem
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    multivariable systems
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    radius of stability margin
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    synthesis problems
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