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Aerodynamic Heating Ground Simulation of Hypersonic Vehicles Based on Model-Free Control Using Super Twisting Nonlinear Fractional Order Sliding Mode

Author

Listed:
  • Xiaodong Lv

    (College of Electrical Engineering and Control Science, Nanjing Tech University, Nanjing 211899, China
    Institute of Physics of Advanced Materials, Ufa State Aviation Technical University, 12 K. Marx St., 450000 Ufa, Russia)

  • Guangming Zhang

    (College of Electrical Engineering and Control Science, Nanjing Tech University, Nanjing 211899, China)

  • Mingxiang Zhu

    (College of Electrical Engineering and Control Science, Nanjing Tech University, Nanjing 211899, China)

  • Zhihan Shi

    (College of Electrical Engineering and Control Science, Nanjing Tech University, Nanjing 211899, China)

  • Zhiqing Bai

    (College of Electrical Engineering and Control Science, Nanjing Tech University, Nanjing 211899, China)

  • Igor V. Alexandrov

    (Institute of Physics of Advanced Materials, Ufa State Aviation Technical University, 12 K. Marx St., 450000 Ufa, Russia)

Abstract

In this article, a model-free control (MFC) using super twisting nonlinear fractional order sliding mode for aerodynamic heating ground simulation of hypersonic vehicles (AHGSHV) is proposed. Firstly, the mathematical model of AHGSHV is built up. To reduce order and simplify the dynamic model of AHGSHV, an ultra-local model of MFC is taken into consideration. Then, time delay estimation can be used to estimate systematic uncertainties and external unknown disturbances. On the basis of the original fractional order sliding mode surface, the nonlinear function fal is introduced to design the nonlinear fractional order sliding mode surface, which can guarantee stability, increase convergence rate, and reduce static error and saturation error. In addition, the super twisting reaching law is used to improve the control performance of the reaching phase, resulting from the existence of sign function in the integral term, and it can effectively reduce the high-frequency chattering. Moreover, the Lyapunov function is used to prove the stability of the whole system. Finally, several numerical simulations show that the designed controller has more advantages than others.

Suggested Citation

  • Xiaodong Lv & Guangming Zhang & Mingxiang Zhu & Zhihan Shi & Zhiqing Bai & Igor V. Alexandrov, 2022. "Aerodynamic Heating Ground Simulation of Hypersonic Vehicles Based on Model-Free Control Using Super Twisting Nonlinear Fractional Order Sliding Mode," Mathematics, MDPI, vol. 10(10), pages 1-19, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:10:p:1664-:d:814434
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    References listed on IDEAS

    as
    1. Yan Yu & Pingjian Ming & Song Zhou, 2014. "Numerical Study on Transient Heat Transfer of a Quartz Lamp Heating System," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-11, May.
    2. Xiaodong Lv & Guangming Zhang & Mingxiang Zhu & Huimin Ouyang & Zhihan Shi & Zhiqing Bai & Igor V. Alexandrov, 2022. "Adaptive Neural Network Global Nonsingular Fast Terminal Sliding Mode Control for a Real Time Ground Simulation of Aerodynamic Heating Produced by Hypersonic Vehicles," Energies, MDPI, vol. 15(9), pages 1-25, April.
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