Research Article
Adaptive Controller and Synchronizer Design for the Qi-Chen Chaotic System
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@INPROCEEDINGS{10.1007/978-3-642-27308-7_13, author={Sundarapandian Vaidyanathan}, title={Adaptive Controller and Synchronizer Design for the Qi-Chen Chaotic System}, proceedings={Advances in Computer Science and Information Technology. Computer Science and Engineering. Second International Conference, CCSIT 2012, Bangalore, India, January 2-4, 2012. Proceedings, Part II}, proceedings_a={CCSIT PATR II}, year={2012}, month={11}, keywords={Adaptive control chaos synchronization Qi-Chen system}, doi={10.1007/978-3-642-27308-7_13} }- Sundarapandian Vaidyanathan
Year: 2012
Adaptive Controller and Synchronizer Design for the Qi-Chen Chaotic System
CCSIT PATR II
Springer
DOI: 10.1007/978-3-642-27308-7_13
Abstract
This paper investigates the design problem of adaptive controller and synchronizer for the Qi-Chen chaotic system (2005) with unknown parameters. First, adaptive control laws are derived to stabilize the Qi-Chen chaotic system to its unstable equilibrium at the origin. Then adaptive control laws are also derived to achieve global chaos synchronization of identical Qi-Chen chaotic systems with unknown parameters. The results derived for adaptive stabilization and synchronization for the Qi-Chen chaotic system are established using Lyapunov stability theory. Numerical simulations are presented to demonstrate the effectiveness of the adaptive control and synchronization schemes derived in this paper.
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