Open AccessThe synchronization of fractional order chaotic systems with different orders based on adaptive sliding mode control
Author(s) -
Ling Huang,
Xue Qi
Publication year - 2013
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.62.080507
Subject(s) - control theory (sociology) , robustness (evolution) , sliding mode control , chaotic , computer science , chaotic systems , chen , synchronization (alternating current) , controller (irrigation) , synchronization of chaos , adaptive control , nonlinear system , control (management) , physics , artificial intelligence , quantum mechanics , paleontology , computer network , biochemistry , chemistry , channel (broadcasting) , biology , agronomy , gene
In this paper, based on sliding mode control and adaptive control theory, the synchronization of two different fractional order chaotic systems is investigated. First, a fractional sliding surface with strong robustness is designed and a suitable adaptive sliding controller is constructed, then the error states of the systems are controlled to the sliding surface via the method to guarantee the synchronized behaviors between two fractional chaotic systems. Numerical simulations on the hyper Chen chaotic systems and Chen chaotic system are also carried out respectively. Simulation results show that the generalized errors tend to zero after a short time, and the effectiveness and feasibility of this method are well verified.