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Adaptive Fuzzy Controller for Chaos Suppression in Nonlinear Fractional Order Systems
Research Article | Published: 26 December 2024
IECE Transactions on Advanced Computing and Systems Volume 1, Issue 1, 2025: 5-18
Volume 1, Issue 1, IECE Transactions on Advanced Computing and Systems
Volume 1, Issue 1, 2025
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Abdur Rasool
Abdur Rasool
University of Hawaii at Manoa, Honolulu, USA
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IECE Transactions on Advanced Computing and Systems, Volume 1, Issue 1, 2025: 5-18

Open Access | Research Article | 26 December 2024
Adaptive Fuzzy Controller for Chaos Suppression in Nonlinear Fractional Order Systems
by
Amin Sharafian Amin Sharafian 1
Islam Md Monirul Islam Md Monirul 1
Mohammad Jafar Mokarram Mohammad Jafar Mokarram 1
Inam Ullah Inam Ullah 2 *
1 College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen 518060, China
2 Department of Computer Engineering, Gachon University, Seongnam 13120, Republic of Korea
* Corresponding Author: Inam Ullah, [email protected]
DOI: 10.62762/TACS.2024.318686
Received: 30 October 2024, Accepted: 17 December 2024, Published: 26 December 2024  
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Abstract
This paper introduces a novel method for controlling a class of nonlinear non-affine systems with fractional-order dynamics, using an adaptive fuzzy technique. By incorporating a novel fractional update law in the design procedure, the controller can effectively suppress chaotic behaviour and smoothly track desired trajectories. The proposed method offers key advantages such as robustness against uncertainties, fast error convergence to the neighbourhood of zero, and satisfactory disturbance rejection performance. To demonstrate the capabilities of the proposed fractional controller, simulation results were conducted using Python on a fractional order Arneodo chaotic system. The results highlight the effectiveness and potential of the proposed method in controlling fractional-order systems.
Graphical Abstract
Adaptive Fuzzy Controller for Chaos Suppression in Nonlinear Fractional Order Systems
Keywords
fuzzy
adaptive
fractional
chaos
arneodo
Data Availability Statement
Data will be made available on request.
Funding
This work was supported without any funding.
Conflicts of Interest
The authors declare no conflicts of interest. 
Ethical Approval and Consent to Participate
Not applicable.
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APA Style
Sharafian, A., Monirul, I. M., Mokarram, M. J., & Ullah, I. (2024). Adaptive Fuzzy Controller for Chaos Suppression in Nonlinear Fractional Order Systems. IECE Transactions on Advanced Computing and Systems, 1(1), 5–18. https://doi.org/10.62762/TACS.2024.318686
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