IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i16p3022-d894475.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/16/3022/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/16/3022/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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).
    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.
    3. 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.
    4. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yu Li & Liang Wang, 2022. "Kinematic Model and Redundant Space Analysis of 4-DOF Redundant Robot," Mathematics, MDPI, vol. 10(4), pages 1-17, February.
    2. Xiaoyu Yang & Haisheng Yu, 2023. "Optimized Cooperative Control of Error Port-Controlled Hamiltonian and Adaptive Backstepping Sliding Mode for a Multi-Joint Industrial Robot," Mathematics, MDPI, vol. 11(6), pages 1-20, March.
    3. Andrej Sarjaš & Dušan Gleich, 2022. "Toward Embedded System Resources Relaxation Based on the Event-Triggered Feedback Control Approach," Mathematics, MDPI, vol. 10(4), pages 1-18, February.
    4. 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.
    5. Hu, Yifan & Liu, Wenhui & Liu, Guobao, 2022. "Adaptive finite‐time event‐triggered control for uncertain nonlinearly parameterized systems with unknown control direction and actuator failures," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    6. Ivan Višić & Ivan Strnad & Ante Marušić, 2020. "Synchronous Generator Out of Step Detection Using Real Time Load Angle Data," Energies, MDPI, vol. 13(13), pages 1-22, June.
    7. Li, Jinghan & Zhao, Jun, 2022. "Bumpless transfer based event-triggered control for switched linear systems with state-dependent switching," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    8. Amin Najafi & Mai The Vu & Saleh Mobayen & Jihad H. Asad & Afef Fekih, 2022. "Adaptive Barrier Fast Terminal Sliding Mode Actuator Fault Tolerant Control Approach for Quadrotor UAVs," Mathematics, MDPI, vol. 10(16), pages 1-22, August.
    9. Xie, Jiaquan & Zhao, Fuqiang & He, Dongping & Shi, Wei, 2022. "Bifurcation and resonance of fractional cubic nonlinear system," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:16:p:3022-:d:894475. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.