MATHEMATICAL MODELING OF PATENTING FURNACE FOR HEAT TREATMENT
OF STEEL ROPES
M. Hadjiski, K. Boshnakov
ROBUST SYNTHESIS OF A MULTIVARIABLE PATENTING THERMAL
FURNACE CONTROL SYSTEM
K. Boshnakov, M. Hadjiski
MATHEMATICAL MODELING OF PATENTING FURNACE FOR HEAT
TREATMENT OF STEEL ROPES
M. Hadjiski, K. Boshnakov
|
University of Chemical Technology
and Metallurgy, 8 Kl. Ohridski, 1756 Sofia, BulgariaE-mail: kb@uctm.edu
|
|
The patenting furnace for recrystallization
annealing of cold drawn steel wires, formed in steel ropes is under consideration
in the paper. The examined furnace is analyzed from a control point of
view and an experimental study is performed with the aim of obtaining
the mathematical description of its dynamic characteristics. Each zone
of the furnace is considered as a dynamically symmetrical object that
is linear around the optimal trajectory. Approximation and minimization
approaches are accepted for the processing of the experimental data in
order to estimate the transfer functions of the main and the cross dynamic
channels. The acquired transfer functions depend parametrically on the
number of wires in the rope. The results show that there exists a strong
interconnection between the neighboring zones and the object a possesses
three - diagonal square matrix. The peculiarities of the mathematical
model are studied taking into account the imminent control system design.
Keywords: patenting furnace, mathematical modeling, MIMO control
systems
ROBUST SYNTHESIS OF A MULTIVARIABLE PATENTING THERMAL
FURNACE CONTROL SYSTEM
K. Boshnakov, M. Hadjiski
|
University of Chemical Technology
and Metallurgy, 8 Kl. Ohridski, 1756 Sofia, BulgariaE-mail: kb@uctm.edu
|
|
The present article is dedicated to the
building up of a multivariable patenting furnace control system, the main
task of which is to maintain a set optimal static zones' temperature profile.
The patenting furnace is a multivariable control plant with parametric
dependence of its dynamic characteristics on the number of the threads
in the steel rope and a substantial uncertainty due to a number of factors.
A robust multi input - multi output (MIMO) control system for the considered
furnace has been developed. The uncertainties of each element of the plant
matrix and of the decoupling compensators have been derived. A method
for a robust synthesis of diagonal controllers by introduction of equivalent
uncertainty has been proposed. A simulation scheme of the MIMO control
system in MATLAB/SIMULINK environment has been developed. The performance
of the designed control system has been investigated on the basis of simulations.
Keywords: robust synthesis, MIMO control systems, patenting furnace,
simulation, uncertainty
