Abstract: The subject of this lecture 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.

Brief Biography of the Speaker:
Piotr Kulczycki graduated with a Master’s degree in Control Engineering from the AGH University of Science and Technology, and a Master’s degree in Applied Mathematics (with honours) from the Jagiellonian University in 1983 and 1987, respectively. He then received the scientific degrees of Ph.D. and D.Sc. (habilitation) in Control Engineering from the AGH University of Science and Technology in 1991 and 1999, respectively, followed by the title of Professor in Technical Sciences at the Systems Research Institute of the Polish Academy of Sciences in 2005. He presently holds the professor positions at the Systems Research Institute of the Polish Academy of Sciences as well as the Cracow University of Technology, where he is the Head of the Department of Control Engineering. He has held the position of visiting professor at the Aalborg University and has given guest lectures at the Technical University of Budapest, the Helsinki University of Technology, the Universite Catholique de Louvain, and the Tampere University of Technology.

Prof. Kulczycki has published 4 books and monographs and around 100 scientific works in reputable journals and international conference proceedings. These works have been quoted many times. He has also participated in 7 scientific research projects, 4 of which were conducted by international teams. The field of his scientific activity to date is the applicational aspects of information technology and data analysis and mining, mostly connected with the use of modern statistical methods and fuzzy logic in diverse issues of contemporary systems research and control engineering. He has also carried out research on artificial neural networks and the theory of differential equations. His avocational interests are centred on ancient and Napoleonic history, as well as classical music, gardening, and international tourism.