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Synchronization of unified chaotic system by sliding mode/mixed H 2/H ∞ control

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Abstract

This paper deals with the synchronization of uncertain unified chaotic system in the presence of two kinds of disturbances, white noise and bounded power signal. A sliding mode controller (SMC) is established to guarantee the sliding motion. Moreover, a proportional-integral (PI) switching surface is used to determine the performance of the system in the sliding motion. Also, by using a mixed H 2/H ∞ approach, the effect of external disturbances on the sliding motion is reduced. The necessary parameters of constructing controller and switching surface are found via semidefinite programming (SDP) which can be solved effectively by a standard software. Finally, a numerical simulation is presented to show the effectiveness of the proposed method.

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Authors and Affiliations

  1. Department of Electrical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran

    Omolbanin Yazdanbakhsh & Saeed Hosseinnia

  2. Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, Iran

    Javad Askari

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  1. Omolbanin Yazdanbakhsh
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  2. Saeed Hosseinnia
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  3. Javad Askari
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Correspondence to Omolbanin Yazdanbakhsh.

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Yazdanbakhsh, O., Hosseinnia, S. & Askari, J. Synchronization of unified chaotic system by sliding mode/mixed H 2/H ∞ control. Nonlinear Dyn 67, 1903–1912 (2012). https://doi.org/10.1007/s11071-011-0117-0

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  • DOI: https://doi.org/10.1007/s11071-011-0117-0

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