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Anti-Chaos control of a servo system using nonlinear model reference adaptive control

Author

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  • Asiain, Erick
  • Garrido, Rubén

Abstract

This work presents a method for anti-chaos control of a servo system affected by parametric uncertainty and constant disturbances. It is based on Nonlinear Model Reference Adaptive Control where the reference model corresponds to a chaotic Duffing oscillator. Only upper and lower bounds on the servo system input gain are assumed known beforehand. It is shown that the solutions of the closed-loop system are Uniformly Ultimately Bounded. Moreover, the chaotic behaviour of the servo system position is verified through the Largest Lyapunov Exponent. The proposed control methodology is tested through experiments.

Suggested Citation

  • Asiain, Erick & Garrido, Rubén, 2021. "Anti-Chaos control of a servo system using nonlinear model reference adaptive control," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    • Handle: RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920309723
    DOI: 10.1016/j.chaos.2020.110581
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    References listed on IDEAS

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    1. Wang, Zheng & Chau, K.T., 2008. "Anti-control of chaos of a permanent magnet DC motor system for vibratory compactors," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 694-708.
    2. Sheu, Long-Jye & Chen, Hsien-Keng & Chen, Juhn-Horng & Tam, Lap-Mou, 2007. "Chaotic dynamics of the fractionally damped Duffing equation," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1459-1468.
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    Cited by:

    1. Izadbakhsh, Alireza & Nikdel, Nazila, 2021. "Chaos synchronization using differential equations as extended state observer," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    2. Bekiros, Stelios & Yao, Qijia & Mou, Jun & Alkhateeb, Abdulhameed F. & Jahanshahi, Hadi, 2023. "Adaptive fixed-time robust control for function projective synchronization of hyperchaotic economic systems with external perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    3. Kavuran, Gürkan, 2022. "When machine learning meets fractional-order chaotic signals: detecting dynamical variations," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    4. Yan, Fang & Hou, Xiaorong & Tian, Tingting & Chen, Xiaojie, 2023. "Nonlinear model reference adaptive control approach for governance of the commons in a feedback-evolving game," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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