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Paper details
Number 4 - December 2019
Volume 29 - 2019
An adaptive identification method based on the modulating functions technique and exact state observers for modeling and simulation of a nonlinear MISO glass melting process
Witold Byrski, Michał Drapała, Jędrzej Byrski
Abstract
The paper presents new concepts of the identification method based on modulating functions and exact state observers with
its application for identification of a real continuous-time industrial process. The method enables transformation of a system
of differential equations into an algebraic one with the same parameters. Then, these parameters can be estimated using
the least-squares approach. The main problem is the nonlinearity of the MISO process and its noticeable transport delays.
It requires specific modifications to be introduced into the basic identification algorithm. The main goal of the method
is to obtain on-line a temporary linear model of the process around the selected operating point, because fast methods
for tuning PID controller parameters for such a model are well known. Hence, a special adaptive identification approach
with a moving window is proposed, which involves using on-line registered input and output process data. An optimal
identification method for a MISO model assuming decomposition to many inner SISO systems is presented. Additionally,
a special version of the modulating functions method, in which both model parameters and unknown delays are identified,
is tested on real data sets collected from a glass melting installation.
Keywords
continuous systems, modulating functions, system identification, exact state observer, glass forehearths