Technical Papers
Aug 13, 2024

High Computationally Efficient Predictive Entry Guidance with Multiple No-Fly Zones

Publication: Journal of Aerospace Engineering
Volume 37, Issue 6

Abstract

This study proposes a high computationally efficient data-driven predictive entry guidance method for hypersonic vehicles under multiple no-fly zones. The method uses a reduced-order motion-model-based semianalytic guidance framework to obtain a trained neural network that only requires two-dimensional input. First, the sixth-order entry dynamic motion model is simplified to a third-order model by considering height as the independent variable. Second, based on the reduced-order motion model, a novel exponential function is introduced to yield a semianalytic range-to-go expression in longitudinal guidance. Third, to generate sample trajectory data for training the neural network, the semianalytic guidance framework is supported by the reduced-order motion model with the semianalytic range-to-go expression. Then, a new dynamic lateral guidance reversal logic based on a chain mode strategy is employed to avoid no-fly zones with different configurations and numbers. Finally, to obtain real-time trajectory online, a data-driven online predictive guidance method is proposed based on a back propagation neural network trained by sample trajectory data generated by the semianalytic guidance framework. The proposed method overcomes the drawbacks of most predictor–corrector guidance methods; i.e., the corrected guidance parameters are heavily dependent on the initial values of each iteration in each guidance cycle. Advantageously, the proposed method greatly reduces the online command calculation time in one guidance cycle and only requires two input data to train the neural network, i.e., height and range-to-go, thus yielding results that are close to the engineering reality. The effectiveness of the proposed method is verified through simulations.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

References

Bai, J., S. Lian, Z. Liu, K. Wang, and D. Liu. 2018. “Deep learning based robot for automatically picking up garbage on the grass.” IEEE Trans. Consum. Electron. 64 (3): 382–389. https://doi.org/10.1109/TCE.2018.2859629.
Brunner, C. W., and P. Lu. 2010. “Comparison of numerical predictor-corrector and apollo skip entry guidance algorithms.” In Proc., AIAA Guidance, Navigation, and Control Conf. Reston, VA: American Institute of Aeronautics and Astronautics.
Cheng, L., F. Jiang, Z. Wang, and J. Li. 2020. “Multiconstrained real-time entry guidance using deep neural networks.” IEEE Trans. Aerosp. Electron. Syst. 57 (1): 325–340. https://doi.org/10.1109/TAES.2020.3015321.
DARPA (Defense Advanced Research Projects Agency). 2004. FALCON force application and launch from CONUS. Arlington County, VA: DARPA.
Graves, C. A. 1972. Apollo experience report: Mission planning for Apollo entry. Washington, DC: National Aeronautics and Space Administration.
Guo, J., X. Z. Wu, and S. J. Tang. 2016. “Autonomous gliding entry guidance with geographic constraints.” Chin. J. Aeronaut. 28 (5): 1343–1354. https://doi.org/10.1016/j.cja.2015.07.009.
Harshal, B. O., and P. Radhakant. 2012. “Impact-angle-constrained suboptimal model predictive static programming guidance of air-to-ground missiles.” J. Guid. Control Dyn. 35 (1): 153–164. https://doi.org/10.2514/1.53647.
He, R., L. Liu, G. Tang, and W. Bao. 2017. “Entry trajectory generation without reversal of bank angle.” Aerosp. Sci. Technol. 71 (Mar): 627–635. https://doi.org/10.1016/j.ast.2017.10.019.
Joshi, A., K. Sivan, and S. S. Amma. 2007. “Predictor–corrector entry guidance algorithm with path constraints for atmospheric entry vehicles.” J. Guid. Control Dyn. 30 (5): 1307–1318. https://doi.org/10.2514/1.26306.
Kirk, D. E. 2004. Optimal control theory: An introduction, 53–95. Dover, NY: Positively Aware the Monthly Journal of the Test Positive Aware Network.
LeCun, Y., Y. Bengio, and G. Hinton. 2015. “Deep learning.” Nature 521 (7553): 436–444. https://doi.org/10.1038/nature14539.
Li, Z., X. Sun, C. Hu, G. Liu, and B. He. 2018. “Neural network based online predictive guidance for high lifting vehicles.” Aerosp. Sci. Technol. 82–83 (Nov): 149–160. https://doi.org/10.1016/j.ast.2018.09.004.
Liang, Z., S. Liu, Q. Li, and Z. Ren. 2017. “Lateral entry guidance with no-fly zone constraint.” Aerosp. Sci. Technol. 60 (Jan): 39–47. https://doi.org/10.1016/j.ast.2016.10.025.
Liang, Z. X., Q. D. Li, and Z. Ren. 2016. “Waypoint constrained guidance for entry vehicles.” Aerosp. Sci. Technol. 52 (May): 52–61. https://doi.org/10.1016/j.ast.2016.02.023.
Liang, Z. X., J. T. Long, S. Y. Zhu, and R. Xu. 2020. “Entry guidance with terminal approach angle constraint.” Aerosp. Sci. Technol. 102 (Dec): 105876. https://doi.org/10.1016/j.ast.2020.105876.
Liang, Z. X., and S. Y. Zhu. 2021. “Constrained predictor-corrector guidance via bank saturation avoidance for low L/D entry vehicles.” Aerosp. Sci. Technol. 109 (Mar): 106448. https://doi.org/10.1016/j.ast.2020.106448.
Lu, P. 2008. “Predictor–corrector entry guidance for low lifting vehicles.” J. Guid. Control Dyn. 31 (4): 1067–1075. https://doi.org/10.2514/1.32055.
Lu, P. 2014. “Entry guidance: A unified method.” J. Guid. Control Dyn. 37 (3): 713–728. https://doi.org/10.2514/1.62605.
McHenry, R. L., A. D. Long, B. F. Cockrell, J. R. Thibodeau III, and T. J. Brand. 1979. “Space shuttle ascent guidance, navigation, and control.” J. Astronaut. Sci. 27 (Mar): 1–38.
Mease, K. D., D. T. Chen, P. Teufel, and H. Schonenberger. 2002. “Reduced-order entry trajectory planning for acceleration guidance.” J. Guid. Control Dyn. 25 (2): 257–266. https://doi.org/10.2514/2.4906.
Pan, L., S. Peng, Y. Xie, Y. Liu, and J. Wang. 2020. “3D guidance for hypersonic reentry gliders based on analytical prediction.” Acta Astronaut. 167 (Feb): 42–51. https://doi.org/10.1016/j.actaastro.2019.07.039.
Powell, R. W. 1998. “Numerical roll reversal predictor-correcctor aerocapture and precision landing guidance algorithm for the mars surveyor program 2001 missions.” In Proc., AIAA Atmospheric Flight Mechanics Conf. and Exhibit. Reston, VA: American Institute of Aeronautics and Astronautics.
Sanchez, C., and D. Izzo. 2018. “Real-time optimal control via deep neural networks: Study on landing problems.” J. Guid. Control Dyn. 41 (5): 1122–1135. https://doi.org/10.2514/1.G002357.
Shi, Y., and Z. B. Wang. 2021. “Onboard generation of optimal trajectories for hypersonic vehicles using deep learning.” J. Spacecraft Rockets 58 (2): 400–414. https://doi.org/10.2514/1.A34670.
USAF (United States Air Force). 2005. Air force handbook—109th congress, department of the air force. Washington, DC: USAF.
Wang, X., J. Guo, S. Tang, S. Qi, and Z. Wang. 2019. “Entry trajectory planning with terminal full states constraints and multiple geographic constraints.” Aerosp. Sci. Technol. 84 (Jan): 620–631. https://doi.org/10.1016/j.ast.2018.10.035.
Xie, Y., L. H. Liu, G. J. Tang, and W. Zheng. 2013. “Highly constrained entry trajectory generation.” Acta Astronaut. 88 (Dec): 44–60. https://doi.org/10.1016/j.actaastro.2013.01.024.
Xu, M., K. Chen, L. Liu, and G. Tang. 2012. “Quasi-equilibrium glide adaptive guidance for hypersonic vehicles.” Sci. China Technol. Sci. 55 (3): 856–866. https://doi.org/10.1007/s11431-011-4727-z.
Xu, M. L., L. H. Liu, Y. Yang, and J. G. Tang. 2011. “Neural network based predictor-corrector entry guidance for high lifting vehicles.” In Proc., 62nd Int. Astronautical Congress. Reston, VA: American Institute of Aeronautics and Astronautics.
Xue, S. B., and P. Lu. 2010. “Constrainted predictor-corrector entry guidance.” J. Guid. Control Dyn. 33 (4): 1273–1281. https://doi.org/10.2514/1.49557.
You, S., C. Wan, R. Dai, and J. R. Rea. 2021. “Learning-based optimal onboard guidance for fuel-optimal powered descent.” J. Guid. Control Dyn. 44 (3): 601–613. https://doi.org/10.2514/1.G004928.
Youssef, H., R. Chowdhry, H. Lee, C. Zimmerman, and L. Brandon. 2001. “Predictor-corrector entry guidance for reusable launch vehicles.” In Proc., AIAA Guidance, Navigation and Control Conf. Reston, VA: American Institute of Aeronautics and Astronautics.
Yu, W., W. Chen, Z. Jiang, M. Liu, D. Yang, M. Yang, and Y. Ge. 2018. “Analytical entry guidance for no-fly-zone avoidance.” Aerosp. Sci. Technol. 72 (Jan): 426–442. https://doi.org/10.1016/j.ast.2017.11.029.
Yu, W. B., W. C. Chen, and Z. G. Jiang. 2019. “Analytical entry guidance for coordinated flight with multiple no-fly-zone constraints.” Aerosp. Sci. Technol. 84 (Dec): 273–290. https://doi.org/10.1016/j.ast.2018.10.013.
Zavoli, A., and L. Federici. 2021. “Reinforcement learning for robust trajectory design of interplanetary missions.” J. Guid. Control Dyn. 44 (8): 1440–1453. https://doi.org/10.2514/1.G005794.
Zeng, L., H. B. Zhang, and W. Zheng. 2018. “A three-dimensional predictor-corrector entry guidance based on reduced-order motion equations.” Aerosp. Sci. Technol. 73 (Mar): 223–231. https://doi.org/10.1016/j.ast.2017.12.009.
Zhang, D., L. Liu, and Y. J. Wang. 2015. “On-line entry guidance algorithm with both path and no-fly zone constraints.” Acta Astronaut. 117 (Jun): 243–253. https://doi.org/10.1016/j.actaastro.2015.08.006.
Zhu, J. W., and S. X. Zhang. 2017. “Adaptive optimal gliding guidance independent of QEGC.” Aerosp. Sci. Technol. 71 (Dec): 373–381. https://doi.org/10.1016/j.ast.2017.09.033.

Information & Authors

Information

Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 37Issue 6November 2024

History

Received: Dec 30, 2023
Accepted: May 9, 2024
Published online: Aug 13, 2024
Published in print: Nov 1, 2024
Discussion open until: Jan 13, 2025

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Ph.D. Candidate, Xi’an Research Institute of High-Technology, Xi’an 710025, People’s Republic of China. ORCID: https://orcid.org/0000-0002-7339-9353. Email: [email protected]
Associate Professor, Xi’an Research Institute of High-Technology, Xi’an 710025, People’s Republic of China (corresponding author). Email: [email protected]
Shicheng Wang [email protected]
Professor, Xi’an Research Institute of High-Technology, Xi’an 710025, People’s Republic of China. Email: [email protected]
Professor, Xi’an Research Institute of High-Technology, Xi’an 710025, People’s Republic of China. Email: [email protected]
Ph.D. Candidate, Xi’an Research Institute of High-Technology, Xi’an 710025, People’s Republic of China. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share