Title :
On global anti-synchronization of chaotic parametrically excited pendulum under linear feedback control
Author :
Chen, Yun ; Wu, Xiaofeng ; Zhao, Xiaolong
Author_Institution :
Coll. of Electron. Eng., Naval Univ. of Eng., Wuhan, China
Abstract :
This paper addresses the global anti-synchronization of chaotic parametrically excited pendulums under linear feedback control. Based on the master-slave anti-synchronization scheme with linear feedback control, a sufficient algebraic criterion for the global anti-synchronization of two parametrically excited pendulums are proved by means of Lyapunov stability theorem and further improved by the optimization technique. Then some simpler anti-synchronization criteria are obtained. Finally, the effectiveness of the obtained criteria is verified by a numerical example.
Keywords :
Lyapunov methods; feedback; linear algebra; linear systems; optimisation; pendulums; stability; Lyapunov stability theorem; algebraic criterion; chaotic parametrically excited pendulum; global antisynchronization; linear feedback control; master-slave antisynchronization scheme; optimization technique; Chaos; Couplings; Feedback control; Master-slave; Orbits; Synchronization; Vibrations; Chaos; global anti-synchronization; linear feedback control; parametrically excited pendulum;
Conference_Titel :
Control Conference (CCC), 2012 31st Chinese
Conference_Location :
Hefei
Print_ISBN :
978-1-4673-2581-3
