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Paper details
Number 1 - March 2014
Volume 24 - 2014
Approximation of a linear dynamic process model using the frequency approach and a non-quadratic measure of the model error
Krzysztof B. Janiszowski
Abstract
The paper presents a novel approach to approximation of a linear transfer function model, based on dynamic properties
represented by a frequency response, e.g., determined as a result of discrete-time identification. The approximation is
derived for minimization of a non-quadratic performance index. This index can be determined as an exponent or absolute
norm of an error. Two algorithms for determination of the approximation coefficients are considered, a batch processing one
and a recursive scheme, based on the well-known on-line identification algorithm. The proposed approach is not sensitive
to local outliers present in the original frequency response. Application of the approach and its features are presented on
examples of two simple dynamic systems.
Keywords
approximation method, frequency domain, non-quadratic criterion, recursive algorithm