Controlling and Synchronizing of Fractional-Order Chaotic Systems via Simple and Optimal Fractional-Order Feedback Controller

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Ammar Soukkou 1,* Salah Leulmi 2

1. Faculty of Sciences and Technology, Department of Electronics, Jijel University, P.O. Box 98, Ouled Aissa, Jijel 18000, Algeria

2. Department of Electric Power Engineering, Skikda Electric Power Systems Laboratory, University of August 20th, 1955, Skikda, Algeria

* Corresponding author.


Received: 23 Jul. 2015 / Revised: 1 Nov. 2015 / Accepted: 17 Jan. 2016 / Published: 8 Jun. 2016

Index Terms

Fractional-order chaotic systems, Fractional-order controller, Distributed PI-network, Genetic learning, Multiobjective optimization


In this paper, a simple and optimal form of fractional-order feedback approach assigned for the control and synchronization of a class of fractional-order chaotic systems is proposed. The proposed control law can be viewed as a distributed network of linear regulators wherein each node is modeled by a PI controller with moderate gains. The multiobjective genetic algorithm with chaotic mutation, adopted in this work, can be visualized as a combination of structural and parametric genes of a controller orchestrated in a hierarchical fashion. Then, it is applied to select an optimal knowledge base, which characterizes the developed controller, and satisfies various design specifications. The proposed design and optimization of the developed controller represents a simple powerful approach to provide a reasonable tradeoff between computational overhead, storage space, numerical accuracy and stability criterion in control and synchronization of a class of fractional-order chaotic systems. Simulation results show the satisfactory performance of the proposed approach.

Cite This Paper

Ammar Soukkou, Salah Leulmi, "Controlling and Synchronizing of Fractional-Order Chaotic Systems via Simple and Optimal Fractional-Order Feedback Controller", International Journal of Intelligent Systems and Applications (IJISA), Vol.8, No.6, pp.56-69, 2016. DOI:10.5815/ijisa.2016.06.07


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