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Numerical Analyses and a Nonlinear Composite Controller for a Real-Time Ground Aerodynamic Heating Simulation of a Hypersonic Flying Object

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)

  • Gang Wang

    (Aerospace Science & Industry Corp. Defense Technology R&T Center, Beijing 100854, 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

This paper contains two parts: numerical analyses and a control method. The numerical analyses of a hypersonic flying object’s aerodynamic heating environment are based on three different two-dimensional outflow fields via finite element calculations. Then, the reference temperature trajectories of a hypersonic flying object are obtained. The other one is an intelligent proportional-derivative (IPD) with a nonlinear global sliding mode control (NGSMC) based on a nonlinear extended state observer (NESO) for a real-time ground aerodynamic heating simulation of a hypersonic flying object, named a thermal-structural test with quartz lamp heaters. The composite controller is made of three sub-components: a model free frame that is independent of the system dynamic model along with an ultra-local model; a NESO for the lumped disturbances observation; and an integral sliding mode control with a nonlinear function for the observation errors compensation. The flight environment of the hypersonic flying object is from Mach number 0.6 to Mach number 5.0, with between flight altitude of 31,272 m and flight altitude of 13,577 m. The comparative results demonstrate some superiorities of the proposed composite controller in terms of tracking errors and robustness.

Suggested Citation

  • Xiaodong Lv & Guangming Zhang & Gang Wang & Mingxiang Zhu & Zhihan Shi & Zhiqing Bai & Igor V. Alexandrov, 2022. "Numerical Analyses and a Nonlinear Composite Controller for a Real-Time Ground Aerodynamic Heating Simulation of a Hypersonic Flying Object," Mathematics, MDPI, vol. 10(16), pages 1-35, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:16:p:3022-:d:894475
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    References listed on IDEAS

    as
    1. 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.
    2. Luis Arturo Soriano & José de Jesús Rubio & Eduardo Orozco & Daniel Andres Cordova & Genaro Ochoa & Ricardo Balcazar & David Ricardo Cruz & Jesus Alberto Meda-Campaña & Alejandro Zacarias & Guadalupe , 2021. "Optimization of Sliding Mode Control to Save Energy in a SCARA Robot," Mathematics, MDPI, vol. 9(24), pages 1-16, December.
    3. Peng Gao & Xiaodong Lv & Huimin Ouyang & Lei Mei & Guangming Zhang, 2020. "A Novel Model-Free Intelligent Proportional-Integral Supertwisting Nonlinear Fractional-Order Sliding Mode Control of PMSM Speed Regulation System," Complexity, Hindawi, vol. 2020, pages 1-15, September.
    4. Jiang, Jingfei & Chen, Huatao & Cao, Dengqing & Guirao, Juan LG, 2022. "The global sliding mode tracking control for a class of variable order fractional differential systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    5. Nikola Lopac & Neven Bulic & Niksa Vrkic, 2019. "Sliding Mode Observer-Based Load Angle Estimation for Salient-Pole Wound Rotor Synchronous Generators," Energies, MDPI, vol. 12(9), pages 1-22, April.
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