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Sliding Mode Predictive Control of Flexible Air-Breathing Hypersonic Vehicles

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Abstract

A novel sliding mode control (SMC) strategy based on predictive technique is presented for flexible air-breathing hypersonic vehicles (FAHVs) with uncertainties and constraints. The vehicle dynamics are first introduced and then decoupled into two subsystems including velocity and altitude. Extended state observer (ESO)-based SMC schemes are designed for these two subsystems. For the original vehicle system, the sliding function is first designed using the pole placement technique. Then the sliding mode prediction model is corrected using the uncertainty estimation value. Finally, the constrained sliding mode control law is obtained using the quadratic programming method. A novel SMC system for the FAHV is established, which can handle system constraints and has forceful anti-disturbance ability. Compared with the SMC system based on ESO, the designed system based on predictive technique has advantages in terms of rapidity, control input and chattering. The feasibility and advantages of the presented control procedure are confirmed by simulations.

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REFERENCES

  1. Bu, X., Luo, R., Lv, M., and Lei, H., Adaptive fuzzy safety control of hypersonic flight vehicles pursuing adaptable prescribed behaviors: A sensing and adjustment mechanism, IEEE Trans. Fuzzy Syst., 2024, vol. 32, no. 12, pp. 7050–7062. https://doi.org/10.1109/tfuzz.2024.3476393

    Article  Google Scholar 

  2. Wang, X. and Xu, B., Robust adaptive control of hypersonic flight vehicle with aero-servo-elastic effect, IEEE Trans. Aerosp. Electron. Syst., 2023, vol. 59, no. 2, pp. 1955–1964. https://doi.org/10.1109/taes.2022.3210153

    Article  Google Scholar 

  3. Na, H. and Lee, J.-I., Optimal arrangement of missile defense systems considering kill probability, IEEE Trans. Aerosp. Electron. Syst., 2020, vol. 56, no. 2, pp. 972–983. https://doi.org/10.1109/taes.2019.2923331

    Article  Google Scholar 

  4. Bu, X., Lv, M., and Liu, Z., Intelligent safety flight control with variable prescribed performance, IEEE Trans. Aerosp. Electron. Syst., 2024, vol. 60, no. 2, pp. 2050–2060. https://doi.org/10.1109/TAES.2023.3346804

    Article  Google Scholar 

  5. Wu, Yu., He, M., Yu, Zh., Hua, B., and Chen, Zh., Dynamics modeling and attitude stabilization control of a multiarmed space robot for on-orbit servicing, J. Franklin Inst., 2020, vol. 357, no. 13, pp. 8383–8415. https://doi.org/10.1016/j.jfranklin.2020.03.041

    Article  MathSciNet  Google Scholar 

  6. Bu, X., Lv, M., Lei, H., and Cao, J., Fuzzy neural pseudo control with prescribed performance for waverider vehicles: A fragility-avoidance approach, IEEE Trans. Cybern., 2023, vol. 53, no. 8, pp. 4986–4999. https://doi.org/10.1109/tcyb.2023.3255925

    Article  Google Scholar 

  7. Bu, X., Wei, D., and He, G., A robust constrained control approach for flexible air-breathing hypersonic vehicles, Int. J. Robust Nonlinear Control, 2020, vol. 30, no. 7, pp. 2752–2776. https://doi.org/10.1002/rnc.4912

    Article  MathSciNet  Google Scholar 

  8. Li, Zh. and Shi, Sh., \({{\mathfrak{L}}_{1}}\) Adaptive loss fault tolerance control of unmanned hypersonic aircraft with elasticity, Aerospace, 2021, vol. 8, no. 7, p. 176. https://doi.org/10.3390/aerospace8070176

    Article  Google Scholar 

  9. Sagliano, M., Mooij, E., and Theil, S., Adaptive disturbance-based high-order sliding-mode control for hypersonic-entry vehicles, J. Guid., Control, Dyn., 2017, vol. 40, no. 3, pp. 521–536. https://doi.org/10.2514/1.g000675

    Article  Google Scholar 

  10. Guo, R., Ding, Yi., and Yue, X., Active adaptive continuous nonsingular terminal sliding mode controller for hypersonic vehicle, Aerosp. Sci. Technol., 2023, vol. 137, p. 108279. https://doi.org/10.1016/j.ast.2023.108279

    Article  Google Scholar 

  11. Hu, X., Guo, Ch., Hu, Ch., and He, B., Sliding mode learning control for T-S fuzzy system and an application to hypersonic flight vehicle, Asian J. Control, 2023, vol. 25, no. 1, pp. 407–417. https://doi.org/10.1002/asjc.2822

    Article  Google Scholar 

  12. Li, S., He, R., Tang, G., and Ao, P., Profile tracking guidance law based on sliding mode control, Chin. J. Aeronaut., 2020, vol. 41, no. 2, pp. 240–247. https://doi.org/10.7527/S1000-6893.2020.24578

    Article  Google Scholar 

  13. Wang, J., Wu, Yu., and Dong, X., Recursive terminal sliding mode control for hypersonic flight vehicle with sliding mode disturbance observer, Nonlinear Dyn., 2015, vol. 81, no. 3, pp. 1489–1510. https://doi.org/10.1007/s11071-015-2083-4

    Article  Google Scholar 

  14. Sheng, Yo., Bai, W., and Xie, Yu., Fractional-order PIλD sliding mode control for hypersonic vehicles with neural network disturbance compensator, Nonlinear Dyn., 2021, vol. 103, no. 1, pp. 849–863. https://doi.org/10.1007/s11071-020-06046-y

    Article  Google Scholar 

  15. Zhang, Yu., Zhang, R., and Li, H., Online path decision of no-fly zones avoidance for hypersonic vehicles based on a graph attention network, IEEE Trans. Aerosp. Electron. Syst., 2023, vol. 59, no. 5, pp. 5554–5567. https://doi.org/10.1109/taes.2023.3260071

    Article  Google Scholar 

  16. Schwenzer, M., Ay, M., Bergs, T., and Abel, D., Review on model predictive control: an engineering perspective, Int. J. Adv. Manuf. Technol., 2021, vol. 117, nos. 5–6, pp. 1327–1349. https://doi.org/10.1007/s00170-021-07682-3

    Article  Google Scholar 

  17. Li, A., Liu, Sh., Hu, X., and Guo, R., Fault-tolerant attitude control for hypersonic flight vehicle subject to actuators constraint: A model predictive static programming approach, IEEE J. Miniaturization Air Space Syst., 2023, vol. 4, no. 2, pp. 136–145. https://doi.org/10.1109/jmass.2023.3241566

    Article  Google Scholar 

  18. Tang, W., Long, W., and Gao, H., Model predictive control of hypersonic vehicles accommodating constraints, IET Control Theory Appl., 2017, vol. 11, no. 15, pp. 2599–2606. https://doi.org/10.1049/iet-cta.2017.0265

    Article  MathSciNet  Google Scholar 

  19. Xiao, H., Zhao, D., Gao, Sh.S., and Spurgeon, S.K., Sliding mode predictive control: A survey, Annu. Rev. Control, 2022, vol. 54, pp. 148–166. https://doi.org/10.1016/j.arcontrol.2022.07.003

    Article  MathSciNet  Google Scholar 

  20. Xu, Yu. and Wu, A.A.G., Integral sliding mode predictive control with disturbance attenuation for discrete-time systems, IET Control Theory Appl., 2022, vol. 16, no. 17, pp. 1751–1766. https://doi.org/10.1049/cth2.12343

    Article  MathSciNet  Google Scholar 

  21. Wu, X., Bai, W., Xie, Ya., Ma, Q., and Song, X., Nonlinear predictive control with sliding mode for hypersonic vehicle, Int. J. Aerosp. Eng., 2023, vol. 2023, no. 1, p. 1215361. https://doi.org/10.1155/2023/1215361

    Article  Google Scholar 

  22. Zhang, J. and Sun, T., Disturbance observer-based sliding manifold predictive control for reentry hypersonic vehicles with multi-constraint, Proc. Inst. Mech. Eng., Part G, 2016, vol. 230, no. 3, pp. 485–495. https://doi.org/10.1177/0954410015593564

    Article  Google Scholar 

  23. Bolender, M.A. and Doman, D.B., Nonlinear longitudinal dynamical model of an air-breathing hypersonic vehicle, J. Spacecr. Rockets, 2007, vol. 44, no. 2, pp. 374–387. https://doi.org/10.2514/1.23370

    Article  Google Scholar 

  24. Qu, X., Li, J., Song, X., and Ren, Z., Modeling and robust coupled control of air-breathing hypersonic vehicle considering propulsion and aeroelastic effects, J. Chin. Soc. Astronaut., 2011, vol. 32, no. 2, pp. 303–309. https://doi.org/10.3873/j.issn.1000-1328.2011.02.011

    Article  Google Scholar 

  25. Wang, L., Qi, R., Wen, L., and Jiang, B., Adaptive multiple-model-based fault-tolerant control for non-minimum phase hypersonic vehicles with input saturations and error constraints, IEEE Trans. Aerosp. Electron. Syst., 2023, vol. 59, no. 1, pp. 519–540. https://doi.org/10.1109/taes.2022.3185576

    Article  Google Scholar 

  26. Yang, H., Cheng, L., Zhang, J., and Xia, Yu., Leader–follower trajectory control for quadrotors via tracking differentiators and disturbance observers, IEEE Trans. Syst., Man, Cybern.: Syst., 2021, vol. 51, no. 1, pp. 601–609. https://doi.org/10.1109/tsmc.2018.2872872

    Article  Google Scholar 

  27. Zhou, W., Guo, Sh., Guo, J., Meng, F., and Chen, Zh., ADRC-based control method for the vascular intervention master–slave surgical robotic system, Micromachines, 2021, vol. 12, no. 12, p. 1439. https://doi.org/10.3390/mi12121439

    Article  Google Scholar 

  28. Oyewole, O.E., Abdelaziz, A.A., Jimoh, I.A., Bari, E., and Ahmed, Kh.H., Optimised linear active disturbance rejection control of multiport-isolated DC–DC converter for hydrogen energy storage system integration, Alexandria Eng. J., 2024, vol. 102, pp. 159–168. https://doi.org/10.1016/j.aej.2024.05.107

    Article  Google Scholar 

  29. Liang, C., Xu, X., Wang, F., and Zhou, Zh., Coordinated control strategy for mode transition of DM-PHEV based on MLD, Nonlinear Dyn., 2021, vol. 103, no. 1, pp. 809–832. https://doi.org/10.1007/s11071-020-06126-z

    Article  Google Scholar 

  30. Pu, Zh., Yuan, R., Tan, X., and Yi, J., Active robust control of uncertainty and flexibility suppression for air-breathing hypersonic vehicles, Aerosp. Sci. Technol., 2015, vol. 42, pp. 429–441. https://doi.org/10.1016/j.ast.2015.01.028

    Article  Google Scholar 

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Funding

This work was supported by the National Natural Science Foundation of China, grant nos. 62463017 and 62063018; the Science and Technology Program of Gansu Province, grant no. 24XGA039.

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Authors and Affiliations

  1. School of Automation and Electrical Engineering, Lanzhou University of Technology, 730050, Lanzhou, China

    Weiqiang Tang, Peng Tian & Chengbin Wang

  2. School of Electrical Engineering and Automation, Xiamen University of Technology, 361024, Xiamen, China

    Haiyan Gao

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Weiqiang Tang, Tian, P., Wang, C. et al. Sliding Mode Predictive Control of Flexible Air-Breathing Hypersonic Vehicles. Aut. Control Comp. Sci. 59, 720–732 (2025). https://doi.org/10.3103/S0146411625701263

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