Synchronizing Newton-Leipnik Fractional Order Chaotic Systems by Sliding Mode Control and Applying in Secure Color Image Communication

VERSION OF RECORD ONLINE: 12/09/2025

Authors

Corressponding author's email:

duchung.pham@utehy.edu.vn

DOI:

https://doi.org/10.54644/jte.2025.1634

Keywords:

Master and slave chaotic synchronization, Sliding mode control, Lyapunov stability theory, Fraction order chaotic system, Secure communication

Abstract

In this paper, we present a comprehensive investigation of a sliding mode control (SMC) method, with a focus on its application to synchronize a three-dimensional (3-D) chaotic Newton-Leipnik system with fractional order. This study aims to demonstrate the robustness and efficiency of the SMC technique in addressing the challenges of synchronization in chaotic systems. The proposed control method is rigorously analyzed using Lyapunov stability theory, ensuring that the system’s behavior converges smoothly towards synchronization. The reliability of this approach is validated through both theoretical and practical evaluations.To further assess the performance of the sliding mode control method, MATLAB simulations were conducted, comparing the SMC technique to a conventional PID controller as well as other advanced methods in the context of secure color image communication. The results showed that SMC outperformed these techniques, achieving a lower Root Mean Square Error (RMSE) and a higher Signal-to-Noise Ratio (SNR), which are key indicators of communication security and effectiveness. Additionally, static analyses such as histogram, Mean Square Error (MSE), and SNR measurements highlighted the system's enhanced security and potential for robust image communication applications. These findings emphasize the practical significance of SMC in secure and reliable communication systems.

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Author Biographies

Duc-Hung Pham, Hung Yen University of Technology and Education, Vietnam

Pham Duc Hung was born in Hung Yen Province, Vietnam, in 1983. He received the B.S. degree in Automatic Control from Hanoi University of Science and Technology, Vietnam, in 2006, the M.S. degree in Automation from Hanoi University of Science and Technology, Vietnam, in 2011, and he received Ph.D. degree in the Department of Electrical Engineering, Yuan Ze University, Chung-Li, Taiwan, in 2022. He is also a Lecturer with Faculty Electrical and Electronic, Hung Yen University of technical and education, Vietnam. His research interests include fuzzy logic control, neural network, cerebellar model articulation controller, brain emotional learning-based intelligent controller, fault tolerant control, secure communication and robot control. Email: duchung.pham@utehy.edu.vn. ORCID:  https://orcid.org/0000-0003-3344-1593.

Van-Tan Do, Hung Yen University of Technology and Education, Vietnam

Do Van Tan was born in 2001 in Hai Phong, Vietnam. He graduated in Control and Automation from Hai Phong University in 2023. He is currently pursuing a Master's degree at Hung Yen University of Technical Education, class code H60231 (2023-2025). His research interests include the synchronization of two chaotic systems.

Email: dovantan04112001@gmail. ORCID:  https://orcid.org/0009-0005-7236-9215

Ngoc-Thang Pham , Hung Yen University of Technology and Education, Vietnam

Pham Ngoc Thang is with Faculty Electrical and Electronic Engineering, Hung Yen University of Technology and Education. Tel: 0912287247. Email: phamngocthangutehy@gmail.com. ORCID:  https://orcid.org/0009-0002-1107-8965

Van-Phong Vu , Ho Chi Minh City University of Technology and Education, Vietnam

Vu Van Phong received the B.S. degree in the Department of Automatic Control from Hanoi University of Sciences and Technology, Hanoi, Vietnam in 2007; and M.S. degree in the Department of Electrical Engineering from Southern Taiwan University of Sciences and Technology, Tainan, Taiwan in 2010. Moreover, he received the Ph.D. degree in the Department of Electrical Engineering from National Central University, Zhongli, Taiwan, in 2017. Dr. Vu is currently a Lecturer with the Ho Chi Minh City University of Education and Technology, Ho Chi Minh City. His research interests include the fuzzy system, intelligent control, observer and controller design for the uncertain system, polynomial system, fault estimation, and large-scale system. Email: phongvv@hcmute.edu.vn. ORCID:  https://orcid.org/0000-0002-3243-1775

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Published

12-09-2025

How to Cite

Duc-Hung Pham, Do, V.-T., Pham , N.-T., & Vu , V.-P. (2025). Synchronizing Newton-Leipnik Fractional Order Chaotic Systems by Sliding Mode Control and Applying in Secure Color Image Communication: VERSION OF RECORD ONLINE: 12/09/2025. Journal of Technical Education Science. https://doi.org/10.54644/jte.2025.1634

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2025: Articles in Press

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