DocumentCode :
2241817
Title :
Robust finite-time synchronization of chaotic parametrically excited pendulums with multiple uncertainties
Author :
Yun, Chen ; Qing, Ye ; Dawei, Zhou ; Lu, Chen
Author_Institution :
Department of Information Security, Naval University of Engineering, Wuhan 430033, China
fYear :
2015
fDate :
28-30 July 2015
Firstpage :
952
Lastpage :
956
Abstract :
Global robust finite-time synchronization of two chaotic parametrically excited pendulums with the parameter mismatches, extern disturbance and time delay is investigated in this paper. Firstly, the robust finite-time synchronization scheme for two chaotic parametrically excited pendulums in the presence of the above three uncertainties is constructed by employing the generalized linear state error feedback control. Then, the global robust finite-time synchronization problem is transformed to the global finite-time stability of the error system originating from the synchronization scheme. Subsequently, a sufficient algebraic criterion for the global robust finite-time synchronization of two parametrically excited pendulums is rigorously proved by using the finite-time stability theory. Also, both the synchronization time and the synchronization error bound are analytically estimated at the same time. Finally, the obtained criterion is verified to be effective by the numerical simulation.
Keywords :
Chaos; Delay effects; Orbits; Robustness; Synchronization; Uncertainty; Vibrations; Global robust finite-time synchronization; the generalized linear state error feedback control; the parametrically excited pendulum; the synchronization error bound; the synchronization time;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference (CCC), 2015 34th Chinese
Conference_Location :
Hangzhou, China
Type :
conf
DOI :
10.1109/ChiCC.2015.7259762
Filename :
7259762
Link To Document :
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