Dual-stage adaptive finite-time modified function projective multi-lag combined synchronization for multiple uncertain chaotic systems

Autor: Li Qiaoping, Liu Sanyang
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Open Mathematics, Vol 15, Iss 1, Pp 1035-1047 (2017)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2017-0087
Popis: In this paper, for multiple different chaotic systems with unknown bounded disturbances and fully unknown parameters, a more general synchronization method called modified function projective multi-lag combined synchronization is proposed. This new method covers almost all of the synchronization methods available. As an advantage of the new method, the drive system is a linear combination of multiple chaotic systems, which makes the signal hidden channels more abundant and the signal hidden methods more flexible. Based on the finite-time stability theory and the sliding mode variable structure control technique, a dual-stage adaptive variable structure control scheme is established to realize the finite-time synchronization and to tackle the parameters well. The detailed theoretical derivation and representative numerical simulation is put forward to demonstrate the correctness and effectiveness of the advanced scheme.
Databáze: Directory of Open Access Journals