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Nonlinear observer for synchronization of chaotic systems with application to secure data transmission

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  • Synchronization of Systems and Networks for Communication
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Abstract

The main issue of this work is related with the design of a class of nonlinear observer in order to synchronize chaotic dynamical systems in a master-slave scheme, considering different initial conditions. The oscillator of Chen is proposed as a benchmark model and a bounded-type observer is proposed to reach synchronicity between both two chaotic systems. The proposed observer contains a proportional and sigmoid form of a bounded function of the synchronization error in order to provide asymptotic synchronization with a satisfactory performance. Some numerical simulations were carrying out in order to show the operation of the proposed methodology, with possible applications to secure data communications issues.

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Authors and Affiliations

  1. Department of Biotechnology and Bioengineering CINVESTAV-IPN, Mexico D.F., Mexico

    Ricardo Aguilar-López

  2. Department of Automatic Control CINVESTAV-IPN, Mexico D.F., Mexico

    Rafael Martínez-Guerra & Claudia A. Perez-Pinacho

Authors
  1. Ricardo Aguilar-López
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  2. Rafael Martínez-Guerra
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  3. Claudia A. Perez-Pinacho
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Corresponding authors

Correspondence to Ricardo Aguilar-López or Rafael Martínez-Guerra.

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Aguilar-López, R., Martínez-Guerra, R. & Perez-Pinacho, C. Nonlinear observer for synchronization of chaotic systems with application to secure data transmission. Eur. Phys. J. Spec. Top. 223, 1541–1548 (2014). https://doi.org/10.1140/epjst/e2014-02116-0

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  • DOI: https://doi.org/10.1140/epjst/e2014-02116-0

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