Identification of
Discrete Time Nonlinear System described by Hammerstein
Model: Application to a Thermal System
Abdessattar CHAARI, Khaled ELLEUCH,
Maher KHARRAT and Samira KAMOUN
Automatic Control Unit Electrical Genius
Department,
National Engineering School of Sfax B.P.W,
3038 Sfax, Tunisia
In this paper, we are interested on
parametric identification of a thermal
system, in real time, which is described
by a discrete non-linear Hammerstein
model with unknown parameters. Based on
the method of the prediction error and
the technique of the Recursive Least
Squares, the identification problem of
the static nonlinear part and the
dynamic linear one of the system is
studied. The thermal system is
constituted of a power
amplifier, a bellows and a sensor. A
unit of treatment and calculation with a
data acquirement card is used for the
identification process in real time. The
experimental results illustrating the
validation of the analytic method are
presented and discussed.
Keywords:
Nonlinear systems; Parametric
identification;Recursive Least Squares;
Hammerstein Model; Thermal system.
( Full
Paper, 1,166 KB)

Biographies:
 |
Abdessattar CHAARI,
obtained the doctorate thesis on
February 1984 in the field of
electric genius from the ENSET
of Tunis, Tunisia. He works as
an associate professor in the
electrical department of the
National Engineering school of
Sfax, Tunisia. He is member of
the research group on automatic
control in the UCA of ENIS, Sfax.
His research focus on Automatic
Control: Phase Locked Loop PLL
in industrial regulation and
servo-systems, modeling,
identification and control of
systems (thermal systems, DC
motor, induction motor),
synthesis of linear observers
and nonlinear ones: application
to the regulation and control of
nonlinear systems.
|
 |
Khaled ELLEUCH,
obtained the master on January
1996 in the field of electric
genius from the Superior school
of the Sciences and Techniques
of Tunis, Tunisia. He works as a
technologist in the electrical
department of the Superior
Institute of the Technological
Studies in Sousse, Tunisia. He
is member of the research group
on Automatic Control (UCA) of
ENIS, Sfax. He prepares,
actually, a thesis of doctorate
on automatic control in the
theme: identification and
adaptive control of nonlinear
systems (applications: DC Motor,
thermal systems..). |
 |
Maher KHARRAT,
obtained the master on October
2004 in the field of electric
genius from the National
Engineering School of Sfax,
Tunisia. He works as a
technologist in the electrical
department of the Superior
Institute of the Technological
Studies in Mahdia, Tunisia. He
is member of the research group
on automatic control in the UCA
of ENIS, Sfax. He prepares,
actually, a thesis of doctorate
on automatic control in the
theme: identification and
adaptive control - application
to thermal systems. |
 |
Samira KAMOUN,
obtained the
doctorate thesis on December
2003 in the field of Automatic
Control and Computer Engineering
from the National Engineering
School of Sfax (ENIS), Tunisia.
She works as an associate
professor of Automatic Control
on the Electrical Department of
ENIS. She is member of the
research group on Automatic
Control (UCA) of ENIS. Her
research focus on identification
and adaptive control of complex
systems (large-scale systems,
nonlinear systems, time-varying
systems: parametric estimation,
state estimation, self-tuningcontrollers
…), with applications to
industrials process. |

BibTex:
AUTHOR = {Abdessattar
CHAARI, Khaled ELLEUCH, Maher KHARRAT and
Samira KAMOUN },
TITLE = {Identification
of Discrete Time Nonlinear System described
by Hammerstein Model: Application to a
Thermal System},
JOURNAL = {ICGST
International Journal on Automatic Control
and Systems Engineering, ACSE},
YEAR = {2006},
VOLUME = {06},
ISSUE = {II},
PAGES={63--69}
( Full
Paper, 1,166 KB)
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