Turkish Journal of Electrical Engineering and Computer Sciences
Abstract
Memristive-based chaotic dynamical systems exhibit chaotic behavior with signals of unpredictable complex ity, making it difficult to achieve full synchronization in master-slave systems. Therefore, an advanced synchronization method is required to overcome the chaotic model uncertainties and external disturbances. In this study, a fractional order terminal sliding mode synchronization is proposed for the uncertain memristive chaotic Chua’s circuit. After presenting the integer-order model of the chaotic memristive Chua’s circuit, a fractional-order sliding surface-based non linear synchronization structure, incorporating the fractional derivative operator, is designed. The convergence of the synchronization closed-loop system is proven using Lyapunov theory. To demonstrate its effectiveness and applicability, the proposed controller structure with a fractional-order surface is compared with three different control structures, and computer-based numerical simulation studies are presented.
DOI
10.55730/1300-0632.4144
Keywords
Terminal sliding mode synchronization, fractional-order derivative, memristive Chua's circuit, fractional-order sliding mode surface, chaotic circuit
First Page
556
Last Page
573
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
ASTEKİN, D, & ADIGÜZEL, F (2025). Fractional-order adaptive terminal sliding mode control for synchronization of uncertain chaotic memristive Chua's circuit. Turkish Journal of Electrical Engineering and Computer Sciences 33 (5): 556-573. https://doi.org/10.55730/1300-0632.4144
