Chaos Synchronization Based on Unknown Inputs Takagi-Sugeno Fuzzy Observer

  • Mohammed Chadli
  • Ivan Zelinka
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 192)


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.


Fuzzy model unknown inputs state estimation Lyapunov method linear matrix inequalities (LMI) 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Laboratory of “modélisation, Information et Systèmes”, UPJV-MISUniversity of Picardie Jules VerneAmiensFrance
  2. 2.Faculty of Electrical Engineering and Computer ScienceVSB - Technical University of OstravaOstravaCzech Republic

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