TY  - JOUR
T1  - Fractional PI Stabilization of Delay Systems: A Thermal Application
AU - Rhouma, Aymen AU - Hafsi, Sami AU - Laabidi, Kaouther 
JO  - International Journal of System Signal Control and Engineering Application
VL  - 10
IS  - 6
SP  - 140
EP  - 146
PY  - 2017
DA  - 2001/08/19
SN  - 1997-5422
DO  - ijssceapp.2017.140.146
UR  - https://makhillpublications.co/view-article.php?doi=ijssceapp.2017.140.146
KW  - Fractional-order calcul
KW  -fractional order PI controller
KW  -first order delay system
KW  -thermal system
AB  - We propose in this paper an application of
fractional-order PI<sup>&#955;</sup> controller as an alternative to solve
some of the control problems that can arise. It aims to
apply the analytical tuning procedure to control the heat
flow systems. The system modeled by first order system
involving time delay, this kind of systems whose
closed-loop characteristic equation are fractional order
quasi-polynomials. Using the proposed method, the entire
stability region of PI<sup>&#955;</sup> controllers is obtained and
visualized in the plane (K<sub>p</sub>, K<sub>i</sub>, &#955;). Simulation and
experimental results on thermal system are given to show
the effectiveness of this type of controllers and this tuning
rule.
ER  -