Open AccessAdaptive Sliding Mode Control of a Novel Class of Fractional Chaotic Systems
Author(s) -
Jian Yuan,
Ke Shi,
Wenqiang Ji
Publication year - 2013
Publication title -
advances in mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.283
H-Index - 23
eISSN - 1687-9139
pISSN - 1687-9120
DOI - 10.1155/2013/576709
Subject(s) - control theory (sociology) , sliding mode control , chaotic , synchronization (alternating current) , computer science , lorenz system , mode (computer interface) , synchronization of chaos , chen , state space , class (philosophy) , chaotic systems , adaptive control , state (computer science) , control (management) , mathematics , nonlinear system , physics , algorithm , artificial intelligence , telecommunications , paleontology , channel (broadcasting) , statistics , quantum mechanics , biology , operating system
Recently, control and synchronization of fractional chaotic systems have increasingly attracted much attention in the fractional control community. In this paper we introduce a novel class of fractional chaotic systems in the pseudo state space and propose an adaptive sliding mode control scheme to stabilize the chaotic systems in the presence of uncertainties and external disturbances whose bounds are unknown. To verify the effectiveness of the proposed adaptive sliding mode control technique, numerical simulations of control design of fractional Lorenz's system and Chen's system are presented
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom