Open AccessAdaptive synchronization of fractional-order chaotic system via sliding mode control
Author(s) -
Cao He-Fei,
Ruoxun Zhang
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.60.050510
Subject(s) - synchronization (alternating current) , control theory (sociology) , synchronization of chaos , controller (irrigation) , chaotic , computer science , chaotic systems , mode (computer interface) , sliding mode control , adaptive control , order (exchange) , chaos (operating system) , scheme (mathematics) , control (management) , mathematics , physics , nonlinear system , telecommunications , artificial intelligence , mathematical analysis , channel (broadcasting) , finance , quantum mechanics , economics , agronomy , biology , operating system , computer security
Based on sliding mode control theory and adaptive control theory, this paper investigates the synchronization of three-dimensional chaotic systems, designs a fractional order proportional integral switching surface, and proposes a single adaptive-feedback controller for fractional-order chaos synchronization. Simulation results for fractional-order unified chaotic system and Arneodo chaotic systems are provided to illustrate the effectiveness of the proposed scheme.