Kybernetika 48 no. 2, 190-205, 2012

Generalized synchronization and control for incommensurate fractional unified chaotic system and applications in secure communication

Hongtao Liang, Zhen Wang, Zongmin Yue and Ronghui Lu

Abstract:

A fractional differential controller for incommensurate fractional unified chaotic system is described and proved by using the Gershgorin circle theorem in this paper. Also, based on the idea of a nonlinear observer, a new method for generalized synchronization (GS) of this system is proposed. Furthermore, the GS technique is applied in secure communication (SC), and a chaotic masking system is designed. Finally, the proposed fractional differential controller, GS and chaotic masking scheme are showed by using numerical and experimental simulations.

Keywords:

fractional chaotic systems, fractional differential controller, GS, state observer, Gershgorin circle theorem, pole assignment algorithm, SC, chaotic masking

Classification:

65P20, 94A05, 11T71

paper.pdf

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