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Chaos Synchronization Based on Unknown Input Proportional Multiple‐Integral Fuzzy Observer

Author

Listed:
  • T. Youssef
  • M. Chadli
  • H. R. Karimi
  • M. Zelmat

Abstract

This paper presents an unknown input Proportional Multiple‐Integral Observer (PIO) for synchronization of chaotic systems based on Takagi‐Sugeno (TS) fuzzy chaotic models subject to unmeasurable decision variables and unknown input. In a secure communication configuration, this unknown input is regarded as a message encoded in the chaotic system and recovered by the proposed PIO. Both states and outputs of the fuzzy chaotic models are subject to polynomial unknown input with kth derivative zero. Using Lyapunov stability theory, sufficient design conditions for synchronization are proposed. The PIO gains matrices are obtained by resolving linear matrix inequalities (LMIs) constraints. Simulation results show through two TS fuzzy chaotic models the validity of the proposed method.

Suggested Citation

  • T. Youssef & M. Chadli & H. R. Karimi & M. Zelmat, 2013. "Chaos Synchronization Based on Unknown Input Proportional Multiple‐Integral Fuzzy Observer," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:670878
    DOI: 10.1155/2013/670878
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    References listed on IDEAS

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    1. Hyun, Chang-Ho & Park, Chang-Woo & Kim, Jae-Hun & Park, Mignon, 2009. "Synchronization and secure communication of chaotic systems via robust adaptive high-gain fuzzy observer," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2200-2209.
    2. Tavazoei, Mohammad Saleh & Haeri, Mohammad, 2007. "Determination of active sliding mode controller parameters in synchronizing different chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 583-591.
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    Cited by:

    1. Hongbiao Fan & Min Meng & Jun-e Feng, 2014. "Observers of Fuzzy Descriptor Systems with Time‐Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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