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Fuzzy system identification via chaotic ant swarm

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  • Li, Lixiang
  • Yang, Yixian
  • Peng, Haipeng

Abstract

In this paper, we introduce a chaotic optimization method, called CAS (chaotic ant swarm), to solve the problem of designing a fuzzy system to identify dynamical systems. The position vector of each ant in the CAS algorithm corresponds to the parameter vector of the selected fuzzy system. At each learning time step, the CAS algorithm is iterated to give the optimal parameters of fuzzy systems based on the fitness theory. Then the corresponding CAS-designed fuzzy system is built and applied to the identification of the unknown nonlinear dynamical systems. Numerical simulation results are provided to show the effectiveness and feasibility of the developed CAS-designed fuzzy system.

Suggested Citation

  • Li, Lixiang & Yang, Yixian & Peng, Haipeng, 2009. "Fuzzy system identification via chaotic ant swarm," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 401-409.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:1:p:401-409
    DOI: 10.1016/j.chaos.2008.01.011
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    References listed on IDEAS

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    1. Li, Lixiang & Yang, Yixian & Peng, Haipeng & Wang, Xiangdong, 2006. "Parameters identification of chaotic systems via chaotic ant swarm," Chaos, Solitons & Fractals, Elsevier, vol. 28(5), pages 1204-1211.
    2. 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.
    3. Lien, Chang-Hua, 2007. "Stabilization for uncertain Takagi–Sugeno fuzzy systems with time-varying delays and bounded uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 645-652.
    4. 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.
    5. Liu, Xingwen, 2007. "Passivity analysis of uncertain fuzzy delayed systems," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 833-838.
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    Cited by:

    1. Eslami Giski, Zahra & Ebrahimzadeh, Abolfazl & Markechová, Dagmar, 2019. "Rényi entropy of fuzzy dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 244-253.
    2. Coelho, Leandro dos Santos & Araujo, Ernesto, 2009. "Identification of the Hénon chaotic map by fuzzy modeling and Nelder–Mead simplex method," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2762-2772.

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