CLC number: TP311
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2018-02-15
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Karima Rabah, Samir Ladaci, Mohamed Lashab. Bifurcation-based fractional-order PIλDμ controller design approach for nonlinear chaotic systems[J]. Frontiers of Information Technology & Electronic Engineering, 2018, 19(2): 180-191.
@article{title="Bifurcation-based fractional-order PIλDμ controller design approach for nonlinear chaotic systems",
author="Karima Rabah, Samir Ladaci, Mohamed Lashab",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="19",
number="2",
pages="180-191",
year="2018",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.1601543"
}
%0 Journal Article
%T Bifurcation-based fractional-order PIλDμ controller design approach for nonlinear chaotic systems
%A Karima Rabah
%A Samir Ladaci
%A Mohamed Lashab
%J Frontiers of Information Technology & Electronic Engineering
%V 19
%N 2
%P 180-191
%@ 2095-9184
%D 2018
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.1601543
TY - JOUR
T1 - Bifurcation-based fractional-order PIλDμ controller design approach for nonlinear chaotic systems
A1 - Karima Rabah
A1 - Samir Ladaci
A1 - Mohamed Lashab
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 19
IS - 2
SP - 180
EP - 191
%@ 2095-9184
Y1 - 2018
PB - Zhejiang University Press & Springer
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DOI - 10.1631/FITEE.1601543
Abstract: We propose a novel approach called the robust fractional-order proportional-integral-derivative (FOPID) controller, to stabilize a perturbed nonlinear chaotic system on one of its unstable fixed points. The stability analysis of the nonlinear chaotic system is made based on the proportional-integral-derivative actions using the bifurcation diagram. We extract an initial set of controller parameters, which are subsequently optimized using a quadratic criterion. The integral and derivative fractional orders are also identified by this quadratic criterion. By applying numerical simulations on two nonlinear systems, namely the multi-scroll Chen system and the Genesio-Tesi system, we show that the fractional PIλDμ controller provides the best closed-loop system performance in stabilizing the unstable fixed points, even in the presence of random perturbation.
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