Full Text:   <720>

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CLC number: TP311

On-line Access: 2018-04-08

Received: 2016-09-11

Revision Accepted: 2017-01-04

Crosschecked: 2018-02-15

Cited: 0

Clicked: 2374

Citations:  Bibtex RefMan EndNote GB/T7714


Samir Ladaci


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Frontiers of Information Technology & Electronic Engineering  2018 Vol.19 No.2 P.180-191


Bifurcation-based fractional-order PIλDμ controller design approach for nonlinear chaotic systems

Author(s):  Karima Rabah, Samir Ladaci, Mohamed Lashab

Affiliation(s):  Signal Processing Laboratory, Department of Electronics, University of Mentouri, Constantine 25000, Algeria; more

Corresponding email(s):   samir_ladaci@yahoo.fr

Key Words:  Fractional order system, Bifurcation diagram, Fractional PIλDμ, Multi-scroll Chen chaotic system, Genesio-Tesi chaotic system

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.

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%A Karima Rabah
%A Samir Ladaci
%A Mohamed Lashab
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%DOI 10.1631/FITEE.1601543

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

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.




Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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