Original scientific paper
https://doi.org/10.1080/00051144.2018.1432466
Active backstepping control of combined projective synchronization among different nonlinear systems
Cun-Fang Feng
; School of Electronic and Electrical Engineering, Textile Materials and Advanced Processing Technology Hubei Province and Ministry State Key Laboratory Breeding Base, Wuhan Textile University, Wuhan, China
Yan-Rong Tan
; School of Electronic and Electrical Engineering, Textile Materials and Advanced Processing Technology Hubei Province and Ministry State Key Laboratory Breeding Base, Wuhan Textile University, Wuhan, China
Ying-Hai Wang
; Institute of Theoretical Physics, School of Physical Science and Technology, Lanzhou University, Lanzhou, China
Hai-Jun Yang
; Department of Preventive Medicine, School of Basic Medical Sciences, Hubei University of Chinese Medicine, Wuhan, China
Abstract
In this article, the authors have studied combination projective synchronization using active backstepping method. The main contribution of this effort is realization of the projective
synchronization between two drive systems and one response system. We relax some limitations of previous work, where only combination complete synchronization has been investigated. According to Lyapunov stability theory and active backstepping design method, the corresponding controllers are designed to observe combination projective synchronization among three different classical chaotic systems, i.e. the Lorenz system, Rossler system and € Chen system. The numerical simulation examples verify the effectiveness of the theoretical analysis. Combination projective synchronization has stronger anti-attack ability and antitranslated ability than the normal projective synchronization scheme realized by one drive and one response system in secure communication.
Keywords
Combination projective synchronization; active backstepping design; Lyapunov stability theory
Hrčak ID:
203366
URI
Publication date:
21.3.2018.
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