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Synchronization and Anti-Synchronization of Unidirectional and Bidirectional Coupled Chaotic Systems by Terminal Sliding Mode Control
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Author(s): Ahmad Taher Azar (Faculty of Computers and Artificial Intelligence, Benha University, Benha, Egypt & College of Computer and Information Sciences, Prince Sultan University, Riyadh, Saudi Arabia), Fernando E. Serrano (Universidad Tecnologica Centroamericana (UNITEC), Honduras)and Nashwa Ahmad Kamal (Faculty of Engineering, Cairo University, Giza, Egypt)
Copyright: 2021
Pages: 35
Source title:
Handbook of Research on Modeling, Analysis, and Control of Complex Systems
Source Author(s)/Editor(s): Ahmad Taher Azar (Faculty of Computers and Artificial Intelligence, Benha University, Benha, Egypt & College of Computer and Information Sciences, Prince Sultan University, Riyadh, Saudi Arabia)and Nashwa Ahmad Kamal (Faculty of Engineering, Cairo University, Giza, Egypt)
DOI: 10.4018/978-1-7998-5788-4.ch016
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Abstract
In this chapter, the synchronization and anti-synchronization of coupled unidirectional and bi-directional chaotic systems by terminal sliding mode control strategy are shown. The unidirectional synchronization consists in establishing a drive chaotic system and a response chaotic system in order to synchronize the variables of the response system in finite time. The unidirectional and bi-directional anti-synchronization consist in anti-synchronizing mutually a coupled chaotic system in both directions. For these purposes, terminal sliding mode control techniques are implemented. Three systems considered for experimental purposes in this study, a Lorenz, Rossler, and Ikeda systems are used for analysis and experimentation of synchronization and anti-synchronization. Three numerical experiments are shown to test the performance of the obtained proposed strategy.
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