Adaptive Second-Order Sliding Mode Algorithm-Based Modified Function Projective Synchronization of Uncertain Hyperchaotic Systems
Cheolhyeon Kwon(Ulsan National Institute of Science and Technology)
United States | IEEE Access
2020-08-14 | 바로가기
Synchronization, Adaptive_systems, Manifolds
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Date of Publication: 14 August 2020
Xuan-Toa Tran, Cheolhyeon Kwon, Hyondong Oh
School of Mechanical, Aerospace and Nuclear Engineering, Ulsan National Institute of Science and Technology
This article proposes a synchronization technique for uncertain hyperchaotic systems in the modified function projective manner using integral fast terminal sliding mode (I-FTSM) and adaptive second-order sliding mode algorithm. The new I-FTSM manifolds are introduced with the aim of having the fast convergence speed. The proposed continuous controller not only results in the robustness and high-accuracy synchronization in the presence of unknown external disturbances and/or model uncertainties but also helps alleviating the chattering effect significantly. Numerical simulation results are provided to illustrate the effectiveness of the proposed control design technique and verify the theoretical analysis.
In this study, the challenge of the adaptive finite-time synchronization problem between different uncertain HPSs has been investigated, for which a novel AFT-MFPS control algorithm has been proposed. The superior performance of the proposed control strategy has been theoretically verified and further numerically validated by comparing with the recent studies in  and , and a secure communication system has been built to demonstrate its practical application. It is worth noting that the proposed control strategy could be easily extended to other types of synchronization or chaos control problem. Future work will include investigating the usage of the suggested method in real experiments using relevant application domains –. In addition, the development of this method to the case of chaotic systems with a higher relative degree is another possible future research direction.
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