You are in:Home/Publications/Khettab K., Bensafia Y., Bourouba B., Azar AT (2018) Enhanced Fractional Order Indirect Fuzzy Adaptive Synchronization of Uncertain Fractional Chaotic Systems Based on the Variable Structure Control: Robust H∞ Design Approach. In: Mathematical Techniques of Fractional Order Systems, Advances in Nonlinear Dynamics and Chaos (ANDC) series, pp. 559–595, Elsevier

Dr. Assoc. Prof. Ahmad Taher Azar :: Publications:

Title:
Khettab K., Bensafia Y., Bourouba B., Azar AT (2018) Enhanced Fractional Order Indirect Fuzzy Adaptive Synchronization of Uncertain Fractional Chaotic Systems Based on the Variable Structure Control: Robust H∞ Design Approach. In: Mathematical Techniques of Fractional Order Systems, Advances in Nonlinear Dynamics and Chaos (ANDC) series, pp. 559–595, Elsevier
Authors: Not Available
Year: 2018
Keywords: Not Available
Journal: Not Available
Volume: Not Available
Issue: Not Available
Pages: 559–595
Publisher: Elsevier
Local/International: International
Paper Link:
Full paper Not Available
Supplementary materials Not Available
Abstract:

This work presents a novel fractional H∞ robust indirect adaptive fuzzy logic control strategy based on the variable structure control theory design (FRAFC-VSC) to synchronize two fractional-order chaotic systems. The contribution of this work is the use of an adaptive fractional order PI-regulator and a saturation function to eliminate the chattering phenomena in the control and surface signals. Stability analysis is performed for the proposed method with an acceptable synchronization error level based on Lyapunov stability criterion. The synchronization of two different fractional order chaotic systems is used to demonstrate the performance of the proposed fractional fuzzy adaptive scheme. Simulations are implemented using a numerical method based on Grünwald–Letnikov approximation approach (G-L) to solve the fractional differential equations. Numerical simulations are done to show the effectiveness of the proposed method.

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