Title :
Global Synchronization Control for Lorenz System
Author :
Tong, Chang-Fei ; Zhan, Zhi-Biao ; Li, Huai-zhong
Author_Institution :
Coll. of Phys. & Electron. Inf. Eng., Wenzhou Univ., Wenzhou, China
Abstract :
A new synchronization control scheme is proposed for Lorenz system. In order to obtain global stability, a state-depended dynamical error equation for the coupled systems is addressed. The control problem is converted into matrix inequalities by choosing proper control parameters. Additional optimization is given to reduce control parameters. Finally, the control problem is numerically solved by BMI solver. The proposed control scheme achieves effective performance as illustrated in the numerical example.
Keywords :
chaos; matrix algebra; nonlinear control systems; stability; synchronisation; BMI solver; Lorenz system; chaotic system; coupled system; global stability; global synchronization control; matrix inequalities; state-depended dynamical error equation; Chaos; Control systems; Couplings; Equations; Mathematical model; Numerical stability; Synchronization; Chaotic System; Lorenz Systems; Synchronization Control;
Conference_Titel :
Electrical and Control Engineering (ICECE), 2010 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-6880-5
DOI :
10.1109/iCECE.2010.274
