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Approximation-Free Output-Feedback Non-Backstepping Controller for Uncertain SISO Nonautonomous Nonlinear Pure-Feedback Systems

Author

Listed:
  • Jang-Hyun Park

    (Department of Electrical and Control Engineering, Mokpo National University, Chonnam 58554, Korea)

  • Tae-Sik Park

    (Department of Electrical and Control Engineering, Mokpo National University, Chonnam 58554, Korea)

  • Seong-Hwan Kim

    (Department of Electrical and Control Engineering, Mokpo National University, Chonnam 58554, Korea)

Abstract

A novel differentiator-based approximation-free output-feedback controller for uncertain nonautonomous nonlinear pure-feedback systems is proposed. Using high-order sliding mode observer, which is a finite-time exact differentiator, the time-derivatives of the signal generated using tracking error and filtered input are directly estimated. As a result, the proposed non-backstepping control law and stability analysis are drastically simple. The tracking error vector is guaranteed to be exponentially stable in finite time regardless of the nonautonomous property in the considered system. It does not require neural networks or fuzzy logic systems, which are typically adopted to capture unstructured uncertainties intrinsic in the controlled system. As far as the authors know, there are no research results on the output-feedback controller for the uncertain nonautonomous pure-feedback nonlinear systems. The results of the simulation show clearly the performance and compactness of the control scheme proposed.

Suggested Citation

  • Jang-Hyun Park & Tae-Sik Park & Seong-Hwan Kim, 2019. "Approximation-Free Output-Feedback Non-Backstepping Controller for Uncertain SISO Nonautonomous Nonlinear Pure-Feedback Systems," Mathematics, MDPI, vol. 7(5), pages 1-11, May.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:456-:d:232862
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    References listed on IDEAS

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    1. Mingzhe Hou & Zongquan Deng & Guangren Duan, 2017. "Adaptive control of uncertain pure-feedback nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(10), pages 2137-2145, July.
    2. Tian-Ping Zhang & Qing Zhu & Yue-Quan Yang, 2012. "Adaptive neural control of non-affine pure-feedback non-linear systems with input nonlinearity and perturbed uncertainties," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(4), pages 691-706.
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    Cited by:

    1. Young Seop Son & Wonhee Kim, 2021. "Nonlinear Differential Braking Control for Collision Avoidance During Lane Change," Mathematics, MDPI, vol. 9(14), pages 1-15, July.
    2. Jang-Hyun Park, 2023. "Differentiator-Based Output Feedback MPPT Controller for DFIG Wind Energy Conversion Systems with Minimal System Information," Energies, MDPI, vol. 16(20), pages 1-18, October.

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