Real-time guidance for powered landing of reusable rockets via deep learning | Neural Computing and Applications Skip to main content

Advertisement

Log in

Real-time guidance for powered landing of reusable rockets via deep learning

  • Original Article
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

This paper focuses on improving the autonomy and efficiency of fuel-optimal powered landing guidance for reusable rockets considering aerodynamic forces. Deep-learning-based methods are developed to enable online and autonomous operation ability and to avoid the convergence problem encountered by classic indirect and direct optimal control methods. Considering the complex uncertainties of the preceding entry flight and potential unsettling hand-over conditions, a classification network is designed to classify the initial states of landing flights into different categories that correspond to bang–bang or non-bang–bang/singular thrust profiles. Thus, the subsequent online regression network can perform well for a large initial state distribution, and the algorithm adjusts to extensive landing situations. The combined application of classification and regression networks is one of the main contributions of the paper. The offline trained state-action regression networks generate guidance commands according to the real-time rocket state, obtaining a near-optimal landing trajectory. In addition, an online parallel trajectory simulation strategy is proposed to verify the trajectory quality, and an alternative trajectory optimization procedure is embedded into the proposed network-based framework to enhance the safety and accuracy of the guidance algorithm, representing another major contribution. Numerical experiments are presented to evaluate the effectiveness and accuracy of the proposed algorithm.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Japan)

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  1. https://www.blueorigin.com/news/new-shepard-ns-18-mission-updates

  2. https://www.spacex.com/launches/sl4-2/

  3. Song Z, Wang C, Theil S, Seelbinder D, Sagliano M et al (2020) Survey of autonomous guidance methods for powered planetary landing. Front Inf Technol Electr Eng 21(5):652–674

    Article  Google Scholar 

  4. Malyuta D, Yu Y, Elango P, Açıkmeşe B (2021) Advances in trajectory optimization for space vehicle control. Annu Rev Control 52:282–315

    Article  MathSciNet  Google Scholar 

  5. Betts J (1998) Survey of numerical methods for trajectory optimization. J Guid Control Dyn 21(2):193–207

    Article  MathSciNet  MATH  Google Scholar 

  6. Garg D, Patterson M, Hager W et al (2010) A unified framework for the numerical solution of optimal control problems using pseudospectral methods. Automatica 46(11):1843–1851

    Article  MathSciNet  MATH  Google Scholar 

  7. Malyuta D, Reynolds T, Szmuk M, et al. (2019) Discretization performance and accuracy analysis for the rocket powered descent guidance problem. AIAA Scitech 2019 Forum. AIAA-2019:0925

  8. Liu X, Lu P, Pan B (2017) Survey of convex optimization for aerospace applications. Astrodynamics 1(1):23–40

    Article  Google Scholar 

  9. Sagliano M (2018) Pseudospectral convex optimization for powered descent and landing. J Guid Control Dyn 41(2):320–334

    Article  Google Scholar 

  10. Açıkmeşe B, Ploen S (2007) Convex programming approach to powered descent guidance for mars landing. J Guid Control Dyn 30(5):1353–1366

    Article  Google Scholar 

  11. Liu X (2019) Fuel-optimal rocket landing with aerodynamic controls. J Guid Control Dyn 42(1):65–77

    Article  Google Scholar 

  12. Wang J, Li H, Chen H (2020) An iterative convex programming method for rocket landing trajectory optimization. J Astronaut Sci 67(4):1553–1574

    Article  Google Scholar 

  13. Li Y, Chen W, Zhou H et al (2020) Conjugate gradient method with pseudospectral collocation scheme for optimal rocket landing guidance. Aerosp Sci Technol 104:105999

    Article  Google Scholar 

  14. Sagliano M (2019) Generalized hp pseudospectral-convex programming for powered descent and landing. J Guid Control Dyn 42(7):1562–1570

    Article  Google Scholar 

  15. Sagliano M, Heidecker A, Hernández JM, et al. (2021) Onboard guidance for reusable rockets: aerodynamic descent and powered landing. AIAA Scitech 2021 Forum. AIAA-2021:0862

  16. Sagliano M, Mooij E (2021) Optimal drag-energy entry guidance via pseudospectral convex optimization. Aerosp Sci Technol 117:106946

    Article  Google Scholar 

  17. Szmuk M, Reynolds T, Açıkmeşe B, et al. (2019) Successive convexification for 6-dof powered descent guidance with compound state-triggered constraints. AIAA Scitech 2019 Forum. AIAA-2019:0926

  18. Reynolds T, Malyuta D, Mesbahi M, et al. A real-time algorithm for non-convex powered descent guidance. AIAA Scitech 2020 Forum. AIAA-2020:0844.

  19. Reynolds T, Malyuta D, Mesbahi M, et al. (2021) Funnel synthesis for the 6-DOF powered descent guidance problem. AIAA Scitech 2021 Forum. AIAA-2021:0504

  20. Izzo D, Märtens M, Pan B (2019) A survey on artificial intelligence trends in spacecraft guidance dynamics and control. Astrodynamics 3(4):287–299

    Article  Google Scholar 

  21. Chai R, Tsourdos A, Savvaris A et al (2021) Review of advanced guidance and control algorithms for space/aerospace vehicles. Prog Aerosp Sci 122:100696

    Article  Google Scholar 

  22. LeCun Y, Bengio Y, Hinton G (2015) Deep learning. Nature 521(7553):436–444

    Article  Google Scholar 

  23. Ding Y, Hua L, Li S (2022) Research on computer vision enhancement in intelligent robot based on machine learning and deep learning. Neural Comput Appl 34(4):2623–2635

    Article  Google Scholar 

  24. Pescador F, Mohanty SP (2021) Machine learning for smart electronic systems. IEEE Trans Consum Electron 67(4):224–225

    Article  Google Scholar 

  25. Izzo D, Sprague C, Tailor D (2019) Machine learning and evolutionary techniques in interplanetary trajectory design. Modeling and optimization in space engineering. Springer, Cham

    Google Scholar 

  26. Bai J, Lian S, Liu Z et al (2018) Deep learning based robot for automatically picking up garbage on the grass. IEEE Trans Consum Electr 64(3):382–389

    Article  Google Scholar 

  27. Dong R, Chang Q, Ikuno S (2021) A deep learning framework for realistic robot motion generation. Neural Comput Appl. https://doi.org/10.1007/s00521-021-06192-3

    Article  Google Scholar 

  28. Shi Y, Wang Z (2020) Onboard generation of optimal trajectories for hypersonic vehicles using deep learning. J Spacecr Rocket 58(2):400–414

    Article  Google Scholar 

  29. Federici L, Benedikter B, Zavoli A (2021) Deep learning techniques for autonomous spacecraft guidance during proximity operations. J Spacecr Rocket 58(6):1774–1785

    Article  Google Scholar 

  30. Zavoli A, Federici L (2021) reinforcement learning for robust trajectory design of interplanetary missions. J Guid Control Dyn 44(8):1440–1453

    Article  Google Scholar 

  31. Sánchez-Sánchez C, Izzo D (2018) Real-time optimal control via deep neural networks: study on landing problems. J Guid Control Dyn 41(5):1122–1135

    Article  Google Scholar 

  32. Izzo D, Öztürk E (2021) Real-time guidance for low-thrust transfers using deep neural networks. J Guid Control Dyn 44(2):315–327

    Article  Google Scholar 

  33. Cheng L, Wang Z, Jiang F et al (2019) Fast generation of optimal asteroid landing trajectories using deep neural networks. IEEE Trans Aerosp Electron Syst 56(4):2642–2655

    Article  Google Scholar 

  34. Cheng L, Jiang F, Wang Z et al (2020) Multiconstrained real-time entry guidance using deep neural networks. IEEE Trans Aerosp Electron Syst 57(1):325–340

    Article  Google Scholar 

  35. You S, Wan C, Dai R et al (2022) Onboard fuel-optimal guidance for human-Mars entry, powered-descent, and landing mission based on feature learning. Acta Astronaut 195(6):129–144

    Article  Google Scholar 

  36. Furfaro R, Bloise I, Orlandelli M et al (2018) Deep learning for autonomous lunar landing. 2018 AAS/AIAA Astrodynamics Specialist Conference. Univelt 167:3285–3306

    Google Scholar 

  37. Cheng L, Wang Z, Song Y et al (2020) Real-time optimal control for irregular asteroid landings using deep neural networks. Acta Astronaut 170:66–79

    Article  Google Scholar 

  38. Eren U, Dueri D, Açıkmeşe B (2015) Constrained reachability and controllability sets for planetary precision landing via convex optimization. J Guid Control Dyn 38(11):2067–2083

    Article  Google Scholar 

  39. Khashei M, Hamadani AZ, Bijari M (2012) A novel hybrid classification model of artificial neural networks and multiple linear regression models. Expert Syst Appl 39(3):2606–2620

    Article  Google Scholar 

  40. Meditch J (1964) On the problem of optimal thrust programming for a lunar soft landing. IEEE Trans Autom Control 9(4):477–484

    Article  MathSciNet  Google Scholar 

  41. Leitmann G (1959) On a class of variational problems in rocket flight. J Aerosp Sci 26(9):586–591

    Article  MathSciNet  MATH  Google Scholar 

  42. Lu P (2018) Propellant-optimal powered descent guidance. J Guid Control Dyn 41(4):813–826

    Article  Google Scholar 

  43. Wang J, Cui N, Wei C (2019) Optimal rocket landing guidance using convex optimization and model predictive control. J Guid Control Dyn 42(5):1078–1092

    Article  Google Scholar 

  44. Leparoux C, Hérissé B, Jean F (2022) Structure of optimal control for planetary landing with control and state constraints. arXiv preprint arXiv:2204.06794

  45. Jarrett K, Kavukcuoglu K, Ranzato M, et al. (2009) What is the best multi-stage architecture for object recognition. In: 2009 IEEE 12th international conference on computer vision. IEEE, 2009: 2146–2153

  46. LeCun Y, Bottou L, Orr G et al (2012) Efficient backprop, Neural networks: tricks of the trade. Springer, Berlin

    Google Scholar 

  47. Glorot X, Bengio Y (2010) Understanding the difficulty of training deep feedforward neural networks. Proceedings of the thirteenth international conference on artificial intelligence and statistics. JMLR Workshop and Conference Proceedings, pp 249–256

  48. Simos TE, Tsitouras C (2021) Efficiently inaccurate approximation of hyperbolic tangent used as transfer function in artificial neural networks. Neural Comput Appl 33(16):10227–10233

    Article  Google Scholar 

  49. Patterson M, Rao A (2014) GPOPS-II: a MATLAB software for solving multiple-phase optimal control problems using hp-adaptive Gaussian quadrature collocation methods and sparse nonlinear programming. ACM Trans Math Soft TOMS 41(1):1–37

    Article  MathSciNet  MATH  Google Scholar 

  50. Ross IM, Karpenko M (2012) A review of pseudospectral optimal control: From theory to flight. Annu Rev Control 36(2):182–197

    Article  Google Scholar 

  51. Huneker L, Sagliano M, Arslantas Y (2015) SPARTAN: an improved global pseudospectral algorithm for high-fidelity entry-descent-landing guidance analysis. In: 30th International Symposium on Space Technology and Science, Kobe, Japan

  52. Liu X, Zhang X, Peng W, et al (2022) A novel meta-learning initialization method for physics-informed neural networks. Neural Comput Appl. pp 1–24

Download references

Acknowledgements

This work was supported by the Fundamental Research Funds for the Central Universities (191gpy288) and National Nature Science Foundation of China (61873306).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jinbo Wang.

Ethics declarations

Conflict of interest

The authors declare no conflict of interest.

Data availability

Data are available on request from the authors.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, J., Ma, H., Li, H. et al. Real-time guidance for powered landing of reusable rockets via deep learning. Neural Comput & Applic 35, 6383–6404 (2023). https://doi.org/10.1007/s00521-022-08024-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-022-08024-4

Keywords

Navigation