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2014 Bifurcation Analysis and Sliding Mode Control of Chaotic Vibrations in an Autonomous System
Wenju Du, Yandong Chu, Jiangang Zhang, Yingxiang Chang, Jianning Yu, Xinlei An
J. Appl. Math. 2014: 1-14 (2014). DOI: 10.1155/2014/726491

Abstract

We study the bifurcations and sliding mode control of chaotic vibrations in an autonomous system. More precisely, a Hopf bifurcation controller is designed so as to control the unstable subcritical Hopf bifurcation to the stable supercritical Hopf bifurcation. Research result shows that the control method can work very well in Hopf bifurcation control. Besides, we controlled the system to any fixed point and any periodic orbit to eliminate the chaotic vibration by means of sliding mode method. And the numerical simulations were presented to confirm the effectiveness of the controller.

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Wenju Du. Yandong Chu. Jiangang Zhang. Yingxiang Chang. Jianning Yu. Xinlei An. "Bifurcation Analysis and Sliding Mode Control of Chaotic Vibrations in an Autonomous System." J. Appl. Math. 2014 1 - 14, 2014. https://doi.org/10.1155/2014/726491

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131828
MathSciNet: MR3248920
Digital Object Identifier: 10.1155/2014/726491

Rights: Copyright © 2014 Hindawi

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