Nonparametric estimation for control engineering

  • Authors:
  • Piotr Kulczycki

  • Affiliations:
  • Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland, Cracow University of Technology, Department of Automatic Control, Cracow, Poland

  • Venue:
  • CONTROL'08 Proceedings of the 4th WSEAS/IASME international conference on Dynamical systems and control
  • Year:
  • 2008

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Abstract

The subject of this paper is the application of nonparametric estimation methods - in particular statistical kernel estimators - for control engineering. Such methods allow the useful characterization of probability distributions without arbitrary assumptions regarding their membership to a fixed class. A detailed description of the Bayes parameter estimation with asymmetrical polynomial loss function will be given, as will one for fault detection in dynamical systems as objects of automatic control, in the scope of detection, diagnosis and prognosis of malfunctions. To this aim the basics of data analysis and exploration tasks - identification of outliers, clustering, and classification - solved using uniform mathematical apparatus based on the kernel estimators methodology will also be considered. In every case the final result will be an algorithm ensuring that its practical implementation does not demand of the user detailed knowledge of the theoretical aspects, or laborious research and calculations.