Some applications of randomized algorithms for control system design (Q1858345)

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scientific article; zbMATH DE number 1868202
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English
Some applications of randomized algorithms for control system design
scientific article; zbMATH DE number 1868202

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    Some applications of randomized algorithms for control system design (English)
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    13 February 2003
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    Stabilizing a plant with a controller not only under normal operating conditions, but under plant sensor/actuator failures as well, one has the problem to determine a simultaneously stabilizing controller for three given plants and the problem of designing a unit compensator for a given plant. The problems are equivalent to satisfying a simple interpolation condition with rational functions. Solutions are obtained by using a randomized algorithm. Some numerical results are given.
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    simultaneous stabilization of three plants
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    unit interpolation in \(H_{\infty}\)
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    randomized algorithms
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    sensor/actuator failures
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