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CMAC-based adaptive backstepping synchronization of uncertain chaotic systems

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  • Lin, Chih-Min
  • Peng, Ya-Fu
  • Lin, Ming-Hung

Abstract

This study proposes an adaptive backstepping control system for synchronizing uncertain chaotic system by using cerebellar model articulation controller (CMAC). CMAC is a nonlinear network with simple computation, good generalization capability and fast learning property. The proposed CMAC-based adaptive backstepping control (CABC) system uses backstepping method and adaptive cerebellar model articulation controller (ACMAC) for synchronizing uncertain chaotic system. Finally, simulation results for the Genesio system are presented to illustrate the effectiveness of the proposed control system.

Suggested Citation

  • Lin, Chih-Min & Peng, Ya-Fu & Lin, Ming-Hung, 2009. "CMAC-based adaptive backstepping synchronization of uncertain chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 981-988.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:981-988
    DOI: 10.1016/j.chaos.2009.02.028
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    References listed on IDEAS

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    1. Park, Ju H., 2006. "Synchronization of Genesio chaotic system via backstepping approach," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1369-1375.
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    Cited by:

    1. Huynh, Tuan-Tu & Lin, Chih-Min & Pham, Thanh-Thao T. & Cho, Hsing-Yueh & Le, Tien-Loc, 2019. "A modified function-link fuzzy cerebellar model articulation controller using a PI-type learning algorithm for nonlinear system synchronization and control," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 65-82.
    2. Yao, Qijia, 2021. "Synchronization of second-order chaotic systems with uncertainties and disturbances using fixed-time adaptive sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    3. Chen, Qiang & Ren, Xuemei & Na, Jing, 2011. "Robust anti-synchronization of uncertain chaotic systems based on multiple-kernel least squares support vector machine modeling," Chaos, Solitons & Fractals, Elsevier, vol. 44(12), pages 1080-1088.

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