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Adaptive Control for Pure-Feedback Nonlinear Systems Preceded by Asymmetric Hysteresis

Author

Listed:
  • Xiaohuan Lai

    (Faculty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou 310018, China)

  • Haipeng Pan

    (Faculty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou 310018, China)

  • Xinlong Zhao

    (Faculty of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou 310018, China)

Abstract

An adaptive control scheme is proposed for a class of uncertain pure-feedback nonlinear systems preceded by asymmetric hysteresis nonlinearity. The asymmetric property is described by the modified Bouc-Wen model based on the proposed asymmetric factor. State variables in the controller design are directly replaced with nonaffine functions to address the control problem caused by nonaffine appearance. Moreover, the control method can handle systems with external disturbances and guarantee the global stability of all the signals in the closed-loop system. The feasibility of the control scheme is verified by a simulation example and experimental results.

Suggested Citation

  • Xiaohuan Lai & Haipeng Pan & Xinlong Zhao, 2019. "Adaptive Control for Pure-Feedback Nonlinear Systems Preceded by Asymmetric Hysteresis," Energies, MDPI, vol. 12(24), pages 1-13, December.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:24:p:4675-:d:295724
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    References listed on IDEAS

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    1. Yong-Hua Liu & Ying Feng & Xinkai Chen, 2014. "Robust Adaptive Dynamic Surface Control for a Class of Nonlinear Dynamical Systems with Unknown Hysteresis," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, January.
    2. Wenjie Si & Xunde Dong & Feifei Yang, 2017. "Adaptive neural prescribed performance control for a class of strict-feedback stochastic nonlinear systems under arbitrary switchings," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(11), pages 2300-2310, August.
    3. Tingting Gao & Jiangshuai Huang & Yong Zhou, 2018. "Adaptive consensus control of nonlinear systems with unknown control directions," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(9), pages 1908-1917, July.
    4. Ander Chouza & Oscar Barambones & Isidro Calvo & Javier Velasco, 2019. "Sliding Mode-Based Robust Control for Piezoelectric Actuators with Inverse Dynamics Estimation," Energies, MDPI, vol. 12(5), pages 1-19, March.
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    Cited by:

    1. Yun Ho Choi & Sung Jin Yoo, 2020. "Tracking Control Strategy Using Filter-Based Approximation for the Unknown Control Direction Problem of Uncertain Pure-Feedback Nonlinear Systems," Mathematics, MDPI, vol. 8(8), pages 1-17, August.

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