Global Synchronization Control for Lorenz System

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 optimiz...

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Bibliographic Details
Published in2010 International Conference on Electrical and Control Engineering pp. 1084 - 1087
Main Authors Chang-Fei Tong, Zhi-Biao Zhan, Huai-Zhong Li
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2010
Subjects
Chaos
Chaotic System
Control systems
Couplings
Equations
Lorenz Systems
Mathematical model
Numerical stability
Synchronization
Synchronization Control
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Summary: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.
ISBN:1424468809
9781424468805
DOI:10.1109/iCECE.2010.274