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Entropy 2014, 16(12), 6539-6552; doi:10.3390/e16126539

Chaos Control and Synchronization of a Hyperchaotic Zhou System by Integral Sliding Mode control

School of Electrical and Computer Engineering (SECE), University of RMIT, GPO Box 2476V, Melbourne, Victoria, 3001, Australia
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Received: 25 September 2014 / Revised: 25 November 2014 / Accepted: 3 December 2014 / Published: 12 December 2014
(This article belongs to the Special Issue Complex Systems and Nonlinear Dynamics)
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Abstract

In this paper, an adaptive integral sliding mode control scheme is proposed for synchronization of hyperchaotic Zhou systems. In the proposed scheme, an integral sliding mode control is designed to stabilize a hyperchaotic Zhou system with known parameters to its unstable equilibrium at the origin. The control is then applied to the synchronization of two identical systems, i.e., a slave and a master hyperchaotic Zhou system with unknown parameters. The adaptive control mechanism introduced synchronizes the systems by estimating the unknown parameters. Simulation results have shown that the proposed method has an excellent convergence from both speed and accuracy points of view, and it outperforms Vaidyanathan’s scheme, which is a well-recognized scheme in this area. View Full-Text
Keywords: hyperchaotic Zhou system; adaptive controller and synchronization; integral sliding mode control; Lyapunov stability theory hyperchaotic Zhou system; adaptive controller and synchronization; integral sliding mode control; Lyapunov stability theory
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Toopchi, Y.; Wang, J. Chaos Control and Synchronization of a Hyperchaotic Zhou System by Integral Sliding Mode control. Entropy 2014, 16, 6539-6552.

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