Journal of the Korean Physical Society

Korean Physical Society (한국물리학회)
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$H_{\infty}$ Chaos Synchronization for Nonlinear Bloch Equations

  • Ahn, Choon-Ki (Faculty of the Division of Electronics and Control Engineering, Wonkwang University)
  • Published : 20091200
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Abstract

In this paper, we propose a new $H_{\infty}$ synchronization scheme for chaotic behavior in nonlinear Bloch equations with external disturbance. Based on the Lyapunov theory and the linear matrix inequality (LMI) approach, the $H_{\infty}$ synchronization controller is presented to not only guarantee stable synchronization but also reduce the effect of external disturbance to an $H_{\infty}$ norm constraint. The proposed controller can be obtained by solving a convex optimization problem represented by an LMI. A numerical example is given to demonstrate the effectiveness of the proposed synchronization scheme.

Keywords

Acknowledgement

This work was supported by a grant from the Korean Ministry of Education, Science and Technology (The Regional Core Research Program/Center for Healthcare Technology Development).

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