Open AccessProjective synchronization of fractional-order chaotic systems based on sliding mode control
Author(s) -
Ding Liu,
Xiaomei Yan
Publication year - 2009
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.58.3747
Subject(s) - controller (irrigation) , synchronization (alternating current) , control theory (sociology) , order (exchange) , computer science , chaotic systems , chen , stability (learning theory) , mode (computer interface) , chaotic , stability theory , synchronization of chaos , control (management) , mathematics , topology (electrical circuits) , physics , nonlinear system , artificial intelligence , quantum mechanics , combinatorics , paleontology , finance , machine learning , agronomy , economics , biology , operating system
For the projective synchronization of fractional-order chaotic systemsa controller based on active sliding mode theory is presented. Based on the stability theory of fractional-order linear systemstability of the proposed method is analysed. Two cases of projective synchronizationi.e.identical fractional-order Liu-Liu systems and different fractional-order Chen-Liu systemsare implemented separately. The simulation results show the effectiveness of the proposed controller.