Title :
Anti-synchronization of Liu system and Rössler system with unknown parameters based on adaptive control
Author :
Tao, Jinghui ; Zhang, Jinhui ; Zhao, Jiakun
Author_Institution :
Sch. of Marketing & Logistics Manage., Nanjing Univ. of Finance &Econ., Nanjing, China
Abstract :
This paper treats chaos anti-synchronization between Liu system and Rossler system with unknown parameters via adaptive control. Based on Lyapunov stability theory, the adaptive control law and the parameter update rule for unknown parameters are derived to ensure the anti-synchronization of the two non-identical chaotic systems. Numerical simulations are also shown to verify the results.
Keywords :
Lyapunov methods; adaptive control; chaos; Liu system antisynchronization; Lyapunov stability theory; Rossler system antisynchronization; adaptive control; chaos antisynchronization; nonidentical chaotic system; numerical simulation; parameter update rule; unknown parameter; Adaptive control; Chaos; Educational institutions; Lyapunov methods; Numerical simulation; Parameter estimation; Synchronization; Adaptive control; Anti-synchronization; Chaotic system; Uncertain parameter;
Conference_Titel :
Mechanic Automation and Control Engineering (MACE), 2011 Second International Conference on
Conference_Location :
Hohhot
Print_ISBN :
978-1-4244-9436-1
DOI :
10.1109/MACE.2011.5986864