Nonsingular Integral-Type Dynamic Finite-Time Synchronization for Hyper-Chaotic Systems

Khalid A. Alattas, Javad Mostafaee, Aceng Sambas, Abdullah K. Alanazi, Saleh Mobayen, Mai The Vu and Anton Zhilenkov
Additional contact information
Khalid A. Alattas: Department of Computer Science and Artificial Intelligence, College of Computer Science and Engineering, University of Jeddah, Jeddah 23890, Saudi Arabia
Javad Mostafaee: Future Technology Research Center, National Yunlin University of Science and Technology, Yunlin, Douliou 64002, Taiwan
Aceng Sambas: Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tasikmalaya 46196, Indonesia
Abdullah K. Alanazi: Department of Chemistry, Faculty of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
Saleh Mobayen: Future Technology Research Center, National Yunlin University of Science and Technology, Yunlin, Douliou 64002, Taiwan
Mai The Vu: School of Intelligent Mechatronics Engineering, Sejong University, Seoul 05006, Korea
Anton Zhilenkov: Department of Cyber-Physical Systems, St. Petersburg State Marine Technical University, 190121 Saint-Petersburg, Russia

Mathematics, 2021, vol. 10, issue 1, 1-21

Abstract: In this study, the synchronization problem of chaotic systems using integral-type sliding mode control for a category of hyper-chaotic systems is considered. The proposed control method can be used for an extensive range of identical/non-identical master-slave structures. Then, an integral-type dynamic sliding mode control scheme is planned to synchronize the hyper-chaotic systems. Using the Lyapunov stability theorem, the recommended control procedure guarantees that the master-slave hyper-chaotic systems are synchronized in the existence of uncertainty as quickly as possible. Next, in order to prove the new proposed controller, the master-slave synchronization goal is addressed by using a new six-dimensional hyper-chaotic system. It is exposed that the synchronization errors are completely compensated for by the new control scheme which has a better response compared to a similar controller. The analog electronic circuit of the new hyper-chaotic system using MultiSIM is provided. Finally, all simulation results are provided using MATLAB/Simulink software to confirm the success of the planned control method.

Keywords: nonsingular control; hyper-chaotic system; integral-type sliding mode control; orbital design; finite-time synchronization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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