Modelling ellipsoidal uncertainty by multidimensional fuzzy sets

  • Authors:
  • Petr Hušek

  • Affiliations:
  • Department of Control Engineering, Faculty of Electrical Engineering, Czech Technical University in Prague, Technická 2, 166 27 Prague, Czech Republic

  • Venue:
  • Expert Systems with Applications: An International Journal
  • Year:
  • 2012

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Abstract

The paper addresses the problem of an aggregation of knowledge obtained from many sets of experiments each with different confidence level during identification of a linear dynamical system with uncertain parameters. The proposed approach describes the parameter space by a multidimensional fuzzy set specified by non-symmetric ellipsoidal @a-cuts. An algorithm for determination of minimum confidence level guaranteeing stability of such a system is presented.