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This paper focuses on the validation of a controller designed from a model validated in an ellipsoidal uncertainty set. A controller is said to be validated if it stabilizes all models in this uncertainty set. This set is embedded in a coprime factor uncertainty set in order to use the results of mainstream robust control theory such as the Vinnicombe gap between plants and the related stability theorems.
This paper considers linearly parametrized plants whose parameters are normally distributed and addresses the problem of analyzing the image in the Nyquist plane of a set of these plants defined by a confidence ellipsoid in the parameter space. The image in the Nyquist plane of such a set of plants is made up of ellipses at each frequency. However, these two types of representation do not contain...
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