A polynomial-fuzzy-model-based synchronization methodology for the multi-scroll Chen chaotic secure communication system

Ying Jen Chen, Hao Gong Chou, Wen June Wang, Shun Hung Tsai, Kazuo Tanaka, Hua O. Wang, Kun Ching Wang

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

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.

Original languageEnglish
Article number103251
JournalEngineering Applications of Artificial Intelligence
Volume87
DOIs
StatePublished - Jan 2020

Keywords

  • Chaos synchronization
  • Multi-scroll Chen chaotic systems
  • Polynomial fuzzy model
  • Secure communication
  • Sum-of-squares (SOS)

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