Open AccessSynchronization of fractional chaotic systems based on fractional-order interval systems
Author(s) -
Ning Sun
Publication year - 2011
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.60.120506
Subject(s) - synchronization (alternating current) , chaotic systems , synchronization of chaos , control theory (sociology) , nonlinear system , chaotic , interval (graph theory) , computer science , controller (irrigation) , fractional order system , linear matrix inequality , mathematics , fractional calculus , control (management) , mathematical optimization , physics , quantum mechanics , combinatorics , artificial intelligence , computer network , channel (broadcasting) , agronomy , biology
Synchronization of fractional-order chaotic systems is investigated by designing a novel nonlinear feedback controller. Compared with the previous reports, the controlled synchronization error system does not need to turn into a linear system and the performance is improved effectively. Furthermore, a novel sufficient stabilization criterion for fractional-order chaotic systems is proposed by introducing a stabilization criterion of an interval fractional-order linear time-invariant system and using the linear matrix inequality technique. Consequently, the chaotic synchronization is ensured. The simulation result verifies the effectiveness of the proposed method.