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Chaotic Synchronization Using a Self-Evolving Recurrent Interval Type-2 Petri Cerebellar Model Articulation Controller

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Listed:
  • Tien-Loc Le

    (Faculty of Mechanical and Aerospace, Sejong University, Seoul 143-747(05006), Korea
    Department of Electrical Electronic and Mechanical Engineering, Lac Hong University, Bien Hoa 810000, Vietnam)

  • Tuan-Tu Huynh

    (Department of Electrical Electronic and Mechanical Engineering, Lac Hong University, Bien Hoa 810000, Vietnam
    Department of Electrical Engineering, Yuan Ze University, Taoyuan 32003, Taiwan)

  • Vu-Quynh Nguyen

    (Department of Electrical Electronic and Mechanical Engineering, Lac Hong University, Bien Hoa 810000, Vietnam)

  • Chih-Min Lin

    (Department of Electrical Engineering, Yuan Ze University, Taoyuan 32003, Taiwan)

  • Sung-Kyung Hong

    (Faculty of Mechanical and Aerospace, Sejong University, Seoul 143-747(05006), Korea)

Abstract

In this manuscript, the synchronization of four-dimensional (4D) chaotic systems with uncertain parameters using a self-evolving recurrent interval type-2 Petri cerebellar model articulation controller is studied. The design of the synchronization control system is comprised of a recurrent interval type-2 Petri cerebellar model articulation controller and a fuzzy compensation controller. The proposed network structure can automatically generate new rules or delete unnecessary rules based on the self-evolving algorithm. Furthermore, the gradient-descent method is applied to adjust the proposed network parameters. Through Lyapunov stability analysis, bounded system stability is guaranteed. Finally, the effectiveness of the proposed controller is illustrated using numerical simulations of 4D chaotic systems.

Suggested Citation

  • Tien-Loc Le & Tuan-Tu Huynh & Vu-Quynh Nguyen & Chih-Min Lin & Sung-Kyung Hong, 2020. "Chaotic Synchronization Using a Self-Evolving Recurrent Interval Type-2 Petri Cerebellar Model Articulation Controller," Mathematics, MDPI, vol. 8(2), pages 1-26, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:219-:d:318318
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    References listed on IDEAS

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    1. Vincent, U.E., 2008. "Synchronization of identical and non-identical 4-D chaotic systems using active control," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1065-1075.
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    Cited by:

    1. Qijia Yao & Hadi Jahanshahi & Stelios Bekiros & Jinping Liu & Abdullah A. Al-Barakati, 2023. "Fixed-Time Adaptive Chaotic Control for Permanent Magnet Synchronous Motor Subject to Unknown Parameters and Perturbations," Mathematics, MDPI, vol. 11(14), pages 1-14, July.

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