A polynomial-fuzzy-model-based synchronization methodology for the multi-scroll Chen chaotic secure communication system. (January 2020)

• Record Type: Journal Article
• Authors: Chen, Ying-Jen; Chou, Hao-Gong; Wang, Wen-June; Tsai, Shun-Hung; Tanaka, Kazuo; Wang, Hua O.; Wang, Kun-Ching
• Is Part Of: Engineering applications of artificial intelligence. Volume 87(2020)
• Publication Date: 2020-01
• Subjects: Secure communication -- Chaos synchronization -- Polynomial fuzzy model -- Sum-of-squares (SOS) -- Multi-scroll Chen chaotic systems; Engineering -- Data processing -- Periodicals; Artificial intelligence -- Periodicals; Expert systems (Computer science) -- Periodicals; Ingénierie -- Informatique -- Périodiques; Intelligence artificielle -- Périodiques; Systèmes experts (Informatique) -- Périodiques; Artificial intelligence; Engineering -- Data processing; Expert systems (Computer science); Periodicals; 620.00285
• DOI: 10.1016/j.engappai.2019.103251
• Languages: English
• ISSNs: 0952-1976

Abstract

Abstract: In this paper, a polynomial-fuzzy-model-based design methodology to synchronize multi-scroll Chen chaotic systems is proposed for secure communication. At first, the architecture of secure communication system (SCS) based on the synchronization of multi-scroll Chen chaotic systems is presented. Then, the master and slave multi-scroll Chen chaotic systems are transformed into the equivalent master and slave polynomial fuzzy models respectively. After that, the H ∞ polynomial fuzzy control design is proposed for synchronizing the master and slave multi-scroll Chen chaotic systems as well as restraining external disturbances. Moreover, for practical application, a constraint on the control input is also considered. The H ∞ polynomial fuzzy control design is represented in terms of sum-of-squares (SOS) conditions which can be efficiently solved by the polynomial optimization Matlab toolbox SOSOPT. Furthermore, simulation results show the effectiveness of the proposed polynomial-fuzzy-model-based control design methodology. After the control design, the polynomial-fuzzy-model-based chaotic synchronization methodology is applied to implement the SCS. Finally, three experiments are given to demonstrate the practicality of the implemented SCS.