Abstract
The problem of launch vehicle vertical landing is divided into dynamic descent phase and vertical landing phase to solve. Firstly, a uniform time discrete SOCP method combined with continuous relaxation technique is adopted to solve complicated nonlinear trajectory optimization problems. Then, the LGL polynomial zeros point is used to discretize the second-order cone programming and improve the solution efficiency. By selecting few LGL polynomial zeros and piecewise Lagrange interpolation, the original problem is transformed into a parameter optimization problem, and the control input of the interpolation point is obtained. The guidance accuracy and adaptability of different methods is compared.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Zhao-hui, G., Pu-zhuo, Z., Yu, L., Meng-lun, Y.: Analysis of vertical landing technique in reusable launch vehicle. J. Astron. 37(2), 145–152 (2019)
Acikmese, B., Ploen, S.R.: Convex programming approach to powered descent guidance for mars landing. J. Guid. Control Dyn. 30(5), 1353–1366 (2007)
Liu, X.: Autonomous Trajectory Planning by Convex Optimization. Iowa State University, Iowa (2013)
Feng, T., Hong-pu, C., Ming-zhe, H., Hai-hong, Z.: Model Predictive trajectory tracking of a reentry hypersonic vehicle based on convex optimization. In: Proceedings of the 32nd Chinese Control Conference. Xi’an, China: July, 2013, pp. 4167–4171
Jos, F.S.: Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cons. Optim. Meth. Softw. 11–12(1), 625–653 (1999)
Toh, K.C., Todd, M.J., Tütüncü, R. H.: SDPT3: A Matlab software package for semidefinite programming, Version 1.3. Optim. Meth. Softw. 11(1), 545–581 (1999)
Cheng, X., Li, H., Zhang, R.: Efficient ascent trajectory optimization using convex models based on the Newton-Kantorovich/Pseudospectral approach. Aerosp. Sci. Technol. 66, 140–151 (2017)
Yu, C.M., Zhao, D.J., Yang, Y.: Efficient convex optimization of reentry trajectory via the chebyshev pseudospectral method. Int. J. Aerosp. Eng. 2019(PT.2), 1414279.1–1414279.9 (2019)
Space Exploration Technologies Corp, Falcon 9 Launch Vehicle Payload User’s Guide, Rev 2 [EB/OL] (2015). http://www.spacex.com/sites/spacex/files/falcon_9_users_guide_rev_2.0.pdf
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Zhang, Z., Li, J., Liu, Y., Xiao, Q. (2022). Design Launch Vehicle Vertical Landing Guidance Law Using a Gauss Point Discrete Convex Programming. In: Yan, L., Duan, H., Yu, X. (eds) Advances in Guidance, Navigation and Control . Lecture Notes in Electrical Engineering, vol 644. Springer, Singapore. https://doi.org/10.1007/978-981-15-8155-7_298
Download citation
DOI: https://doi.org/10.1007/978-981-15-8155-7_298
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-8154-0
Online ISBN: 978-981-15-8155-7
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)