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Model reference adaptive synchronization of T–S fuzzy discrete chaotic systems using output tracking control

Author

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  • Lee, Won-Ki
  • Hyun, Chang-Ho
  • Lee, Heejin
  • Kim, Euntai
  • Park, Mignon

Abstract

This paper presents a model reference adaptive control approach for the synchronization of a discrete-time chaotic systems using output tracking control. The reference model system is chosen using the output of master system and Takagi–Sugeno (T–S) fuzzy model is employed to represent the discrete-time chaotic slave system. Design the control input so that the controlled slave system achieves asymptotic synchronization with the reference system given that two systems start from different initial conditions, different parameters and/or different type of model. Using a gradient algorithm, the ideal controller gains which can stabilize the error equation are estimated. Simulation examples of two cases are given to demonstrate the validity of our proposed adaptive method.

Suggested Citation

  • Lee, Won-Ki & Hyun, Chang-Ho & Lee, Heejin & Kim, Euntai & Park, Mignon, 2007. "Model reference adaptive synchronization of T–S fuzzy discrete chaotic systems using output tracking control," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1590-1598.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:5:p:1590-1598
    DOI: 10.1016/j.chaos.2006.04.059
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    References listed on IDEAS

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    1. Hyun, Chang-Ho & Kim, Jae-Hun & Kim, Euntai & Park, Mignon, 2006. "Adaptive fuzzy observer based synchronization design and secure communications of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 930-940.
    2. Kim, Jae-Hun & Park, Chang-Woo & Kim, Euntai & Park, Mignon, 2005. "Adaptive synchronization of T–S fuzzy chaotic systems with unknown parameters," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1353-1361.
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    Cited by:

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    2. Li, Lixiang & Yang, Yixian & Peng, Haipeng, 2009. "Fuzzy system identification via chaotic ant swarm," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 401-409.

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