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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© 2012 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering
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Vaidyanathan, S. (2012). Adaptive Controller and Synchronizer Design for the Qi-Chen Chaotic System. In: Meghanathan, N., Chaki, N., Nagamalai, D. (eds) Advances in Computer Science and Information Technology. Computer Science and Engineering. CCSIT 2012. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 85. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27308-7_13
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DOI: https://doi.org/10.1007/978-3-642-27308-7_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-27307-0
Online ISBN: 978-3-642-27308-7
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