ОЦІНЮВАННЯ ПАРАМЕТРІВ В ЛІНІЙНИХ БАГАТОВИМІРНИХ СИСТЕМАХ З ІНТЕРВАЛЬНОЮ НЕВИЗНАЧЕНІСТЮ

This paper is devoted to the estimation of parameters for linear multidimensional models with interval uncertainty in data. In addition to the additive measurement noise the multiplicative matrix uncertainty is assumed to be in the model. This allows to treat a more general class of uncertain plants...

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Bibliographic Details
Date:2006
Main Authors: Polyak, B.T., Nazin, S.A.
Format: Article
Language:Ukrainian
Published: V.M. Glushkov Institute of Cybernetics of NAS of Ukraine 2006
Online Access:https://jais.net.ua/index.php/files/article/view/396
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Journal Title:Problems of Control and Informatics

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Problems of Control and Informatics
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Summary:This paper is devoted to the estimation of parameters for linear multidimensional models with interval uncertainty in data. In addition to the additive measurement noise the multiplicative matrix uncertainty is assumed to be in the model. This allows to treat a more general class of uncertain plants. Outer-bounding interval approximations of the non-convex feasible parameter sets (information sets) for uncertain systems are obtained. The method is based on the solution of the interval systems of linear algebraic equations and provides a parameters estimation for static models with large number of measurements.