Open AccessCircuit implementation and tracking control of the fractional-order hyper-chaotic Lü system
Author(s) -
Fuhong Min,
Yu Yang,
Ge Cao-Jun
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.58.1456
Subject(s) - controller (irrigation) , computer science , chaotic , control theory (sociology) , stability (learning theory) , order (exchange) , fractional order system , chaotic systems , tracking (education) , fractional calculus , simple (philosophy) , electronic circuit , control (management) , physics , mathematics , psychology , pedagogy , philosophy , finance , epistemology , quantum mechanics , artificial intelligence , machine learning , agronomy , economics , biology
This paper studies the fractional-order Lü system which has been presented recentlyand designed an electronic circuit to realize it. The hyper-chaotic behavior of the fractional-order Lü system is verified by numerical simulation and circuit experiment. Based on the stability theory of the fractional-order systema simple linear feedback controller is designed to make full states of a fractional order Lü system to track control sinusoidal waves or arbitrarily fixed point. The simulation results are presented to demonstrate the effectiveness of the proposed method.