Open AccessA new double-wing fractional-order chaotic system and its synchronization by sliding mode
Author(s) -
Bin Wang,
Chao Wu,
Daqi Zhu
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.62.230506
Subject(s) - matlab , synchronization (alternating current) , controller (irrigation) , control theory (sociology) , computer science , sliding mode control , chaotic , wing , stability (learning theory) , mode (computer interface) , range (aeronautics) , computer simulation , nonlinear system , physics , control (management) , simulation , channel (broadcasting) , thermodynamics , artificial intelligence , operating system , computer network , materials science , quantum mechanics , machine learning , agronomy , composite material , biology
Firstly, a new fractional-order chaotic system is proposed. When the linear term x in the second formula of the system was replaced by its absolute value, the range of its unique parameter k that makes the wing of the original system doubled is explored in detail. Furthermore, the numerical simulation and the circuit simulation of the original system and its double-wing system are achieved via Matlab and Multisim software respectively. Finally, based on sliding mode control theory and stability theory in fractional calculus, a new sliding mode controller is designed to realize the synchronization of the new system and its double-wing system respectively. Simulation results are provided to illustrate the effectiveness of the proposed scheme.