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MORE ABOUT THE PARAMETRIC IDENTIFICATION FOR NON-LINEAR SYSTEMS BASED ON THE METHOD OF THE AVERAGED DIFFERENTIATION

BOÆKOWSKA, M.

Abstract

The parametric identification for non-linear systems based on the method of the averaged differentiation with correction is discussed. The method concerns such non-linear systems, whose dynamics is described by the differential equation in which the highest derivative can be any function of time, signals and derivatives but of a lower order. It was assumed that the input and output signals of the tested system are available to the observation and the system is disturbed by white random signals, which have significant influence only on the system output. The method is demonstrated using both computer simulations of some non-linear dynamic systems, where the method’s errors can be obtained, and results of the identification for real data.

Coresponding author e-mail: Magdalena[dot]Bockowska[at]ps[dot]pl

Session: Modelling, Simulation, and Identification of Processes