H∞ synchronization of chaotic systems via dynamic feedback approach

S. M. Lee; D. H. Ji; Ju H. Park; S. C. Won

doi:10.1016/j.physleta.2008.05.047

H_∞ synchronization of chaotic systems via dynamic feedback approach

S. M. Lee, D. H. Ji, Ju H. Park, S. C. Won

School of Electronics Engineering

Research output: Contribution to journal › Article › peer-review

99 Scopus citations

Abstract

This Letter considers H_∞ synchronization of a general class of chaotic systems with external disturbance. Based on Lyapunov theory and linear matrix inequality (LMI) formulation, the novel feedback controller is established to not only guarantee stable synchronization of both master and slave systems but also reduce the effect of external disturbance to an H_∞ norm constraint. A dynamic feedback control scheme is proposed for H_∞ synchronization in chaotic systems for the first time. Then, a criterion for existence of the controller is given in terms of LMIs. Finally, a numerical simulation is presented to show the effectiveness of the proposed chaos synchronization scheme.

Original language	English
Pages (from-to)	4905-4912
Number of pages	8
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	372
Issue number	29
DOIs	https://doi.org/10.1016/j.physleta.2008.05.047
State	Published - 7 Jul 2008

Keywords

Chaotic systems
Dynamic control
H synchronization
LMI

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10.1016/j.physleta.2008.05.047

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AU - Lee, S. M.

AU - Ji, D. H.

AU - Park, Ju H.

AU - Won, S. C.

PY - 2008/7/7

Y1 - 2008/7/7

N2 - This Letter considers H∞ synchronization of a general class of chaotic systems with external disturbance. Based on Lyapunov theory and linear matrix inequality (LMI) formulation, the novel feedback controller is established to not only guarantee stable synchronization of both master and slave systems but also reduce the effect of external disturbance to an H∞ norm constraint. A dynamic feedback control scheme is proposed for H∞ synchronization in chaotic systems for the first time. Then, a criterion for existence of the controller is given in terms of LMIs. Finally, a numerical simulation is presented to show the effectiveness of the proposed chaos synchronization scheme.

AB - This Letter considers H∞ synchronization of a general class of chaotic systems with external disturbance. Based on Lyapunov theory and linear matrix inequality (LMI) formulation, the novel feedback controller is established to not only guarantee stable synchronization of both master and slave systems but also reduce the effect of external disturbance to an H∞ norm constraint. A dynamic feedback control scheme is proposed for H∞ synchronization in chaotic systems for the first time. Then, a criterion for existence of the controller is given in terms of LMIs. Finally, a numerical simulation is presented to show the effectiveness of the proposed chaos synchronization scheme.

KW - Chaotic systems

KW - Dynamic control

KW - H synchronization

KW - LMI

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 29

ER -

H_∞ synchronization of chaotic systems via dynamic feedback approach

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Keywords

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