Journal of Systems Engineering and Electronics ›› 2011, Vol. 33 ›› Issue (3): 607-611.doi: 10.3969/j.issn.1001-506X.2011.03.28

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Adaptive synchronization of discrete time chaotic systems based on fuzzy observer

ZHANG Wen-bo1,3, WU Xiao-ping1, HE Han-lin2   

  1. 1. College of Electronic Engineering, Naval University of Engineering, Wuhan 430033, China;
    2. College of Sciences, Naval University of Engineering, Wuhan 430033, China;
    3. Unit 9285 of the PLA, Zhanjiang 524005, Chin
  • Online:2011-03-21 Published:2010-01-03

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Abstract:

For uncertain discrete time chaotic systems, a synchronization design scheme based on Takagi Sugeno (T-S) fuzzy modeling and the design of the fuzzy observer is presented. Mamdani type fuzzy inference is employed to model the uncertain term of the drive system and estimate unknown parameters. Based on the fuzzy model, an adaptive fuzzy observer is developed to deal with the synchronization of nonidentical chaotic systems. The adaptive law is derived to estimate its unknown parameters and the stability is guaranteed by Lyapunov stability theory. The simulation examples are given to demonstrate the validity of the proposed approach.

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