Conception of fractional PI λ controller through classical PI controller
K.Gherfi
a,b, A. Charef
c, H.A. Abbassi
b, D.Idiou
a
aWelding and NDT Research Centre (CSC) BP 64 CHERAGA-ALGERIA
bUniversité Badji Mokhtar-ANNABA, BP 12 Annaba, 23000 Algeria
cUniversité Constantine 1, Route Ain El-bey, Constantine 25011, Algeria
kaddour.gherfi@gmail.com, k.gherfi@csc.dz,
afcharef@yahoo.com
,
abbassi@univ-annaba.org,
ddidiou@yahoo.com
Abstract
—Fractional order PIλD
µ controllers are gaining more interests from the control community. They have
been introduced in the control loops in a continuous effort to ameliorate the system control performances. In this work,
the design of the fractional order PI
λcontroller derived through the regular PI controller used for the first order lag plus
time delay control system is proposed. The main idea of this article is the tuning of the parameter λof the fractional
order PI
λcontroller to ameliorate the overshoot, the integral squared error and the settling time performances of the step
response of the feedback control system compared to the ones of the feedback control system with the corresponding
classical PI controller. The control quality enhancement of the proposed PI
λ controller scheme compared to the
corresponding classical PI controller has been presented through the simulation results of illustrative examples.
Keywords
-component; fractional order controllers; fractional order PI controllers; PI tuning, time delay.