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Chaos Synchronization Based on Unknown Inputs Takagi-Sugeno Fuzzy Observer

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Nostradamus: Modern Methods of Prediction, Modeling and Analysis of Nonlinear Systems

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 192))

Abstract

This note deals with the chaos synchronization problem using unknown inputs Takagi-Sugeno fuzzy observer. The design of observers for Takagi-Sugeno (T-S) fuzzy models subject to unknown inputs is first considered. Based on Linear Matrix Inequalities (LMI) terms and Lyapunov method, sufficient design conditions are given. The pole placement in an LMI region is also considered to improve the observer performances. The proposed approach can be also used in a chaotic cryptosystem procedure where the plaintext (message) is encrypted using chaotic signals at the drive system side. The resulting ciphertext is embedded to the state of the drive system and is sent via public channel to the response system. The plaintext is retrieved via the designed unknown input observer. An example is given to illustrate the effectiveness of the derived results.

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Author information

Authors and Affiliations

  1. Laboratory of “modélisation, Information et Systèmes”, UPJV-MIS, University of Picardie Jules Verne, 7 Rue Moulin neuf, 80000, Amiens, France

    Mohammed Chadli

  2. Faculty of Electrical Engineering and Computer Science, VSB - Technical University of Ostrava, 17. listopadu 15, 708 33, Ostrava, Poruba, Czech Republic

    Ivan Zelinka

Authors
  1. Mohammed Chadli
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  2. Ivan Zelinka
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Corresponding author

Correspondence to Mohammed Chadli .

Editor information

Editors and Affiliations

  1. Faculty of Electrical Engineering and Co, Department of Computer Science, VŠB-Technical University of Ostrava, 17. listopadu 15, Ostrava-Poruba, 70833, Czech Republic

    Ivan Zelinka

  2. Institute of Physical and, Theoretical Chemistry, University of Tuebingen, Auf der Morgenstelle 8, Tuebingen, 72076, Germany

    Otto E. Rössler

  3. , Faculty of Electrical Engineering, Department of Computer Science, 17. listopadu 15, Ostrava-Poruba, 708 33, Czech Republic

    Václav Snášel

  4. (MIR Labs), Scientific Network for Innovation and, Machine Intelligence Research Labs, MIR Labs Campus, Auburn, 98071, Washington, USA

    Ajith Abraham

  5. , Dept. de Informática y Automática, University of Salamanca, Plaza de la Merced, s/n, Salamanca, 37008, Spain

    Emilio S. Corchado

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Chadli, M., Zelinka, I. (2013). Chaos Synchronization Based on Unknown Inputs Takagi-Sugeno Fuzzy Observer. In: Zelinka, I., Rössler, O., Snášel, V., Abraham, A., Corchado, E. (eds) Nostradamus: Modern Methods of Prediction, Modeling and Analysis of Nonlinear Systems. Advances in Intelligent Systems and Computing, vol 192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33227-2_11

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  • DOI: https://doi.org/10.1007/978-3-642-33227-2_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33226-5

  • Online ISBN: 978-3-642-33227-2

  • eBook Packages: EngineeringEngineering (R0)

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