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    <title>Auteurs : Alois Knoll</title>
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    <description>Publications of Auteurs Alois Knoll</description>
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      <title>Towards Transparent Control of Large and Complex Systems</title>
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      <description>We first discuss the importance of making a controller interpretable and give an overview of the existing models and structures for that purpose. We then propose an approach to designing fuzzy controllers based on the B-spline model by learning. Unlike other normalised parametrised set functions for defining fuzzy sets, B-splines do not necessarily span membership values from zero to one but possess the property of &quot;partition of unity&quot;. B-splines can be automatically determined after each input is partitioned. Learning of a fuzzy controller based on B-splines is then equivalent to the adaptation of a B-spline interpolator. Parameters of the controller output of each rule can be rapidly adapted by gradient descent. Optimal placements of the non-uniform B-splines for specifying each input can be found by Genetic Algorithms. Through comparative examples of function approximation we show that training of such a fuzzy controller generally provides results with minimal error. The approach can be extended to the problems of high-dimensional input by combining neural networks with a fuzzy control model. </description>
      <pubDate>Thu, 26 Sep 2024 10:31:08 +0200</pubDate>
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