Abstract
In the convex optimization problem for entry trajectory planning, the middle variables as new controls are defined to reduce the difficulty of convexification of original problem. Because of some reasons, the discontinuous or non-smooth of profiles of commands appear when solving commands using middle variables. For handling the phenomenon, a solution method of guidance commands via low-pass filter is proposed in this paper. Firstly, a discretized convex trajectory planning problem is formulated. Secondly, the solution errors of commands are defined. On the discretization points with high error, the proposed method is performed to smooth the abnormal commands by commands updating equations. On the other discretization points with low error, the method is not necessary. Finally, the method is inserted into a sequential iteration algorithm to solve the original non-convex entry trajectory planning problem. In numerical simulation, the effectiveness of the proposed method is verified, and the influence of filter coefficients on convergence and accuracy is discussed.
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
Similar content being viewed by others
References
Wang, Z.B., Grant, M.J.: Autonomous entry guidance for hypersonic vehicles by convex optimization. J. Spacecraft Rockets (2018). Published online, https://doi.org/10.2514/1.A34102
Zhang, Y., Chen, J., Shen, L.C.: Real-time trajectory planning for UCAV air-to-surface attack using inverse dynamics optimization method and receding horizon control. Chin. J. Aeronaut. 26(4), 1038–1056 (2013)
Dueri, D., Açıkmeşe, B., Scharf, D.P., Harris, M.W.: Customized real-time interior-point methods for onboard powered-descent guidance. J. Guidance Control Dyn. 40(2), 197–212 (2016)
Zhang, Y.L., Chen, K.J., Liu, L.H., Tang, G.J., Bao, W.M.: Entry trajectory planning based on three-dimensional acceleration profile guidance. Aerosp. Sci. Technol. 48, 131–139 (2016)
Liu, X.F., Lu, P., Pan, B.F.: Survey of convex optimization for aerospace applications. Astrodynamics 1(1), 23–40 (2017)
Zhou, X., Zhang, H.B., Xie, L., etc.: An improved solution method via the pole-transformation process for the maximum-crossrange problem. Proceedings of the institution of mechanical engineers. Part G: J. Aerosp. Eng. (2020). Published online, https://doi.org/10.1177/0954410020914809
Liu, X.F., Shen, Z.J., Lu, P.: Entry trajectory optimization by second-order cone programming. J. Guidance Control Dyn. (2015). Published online, https://doi.org/10.2514/1.G001210
Wang, Z.B., Grant, M.J.: Improved sequential convex programming algorithms for entry trajectory optimization. In: AIAA Scitech 2019 Forum, 7–11. San Diego, California (2019)
Zhao, D.J., Song, Z.Y.: Reentry trajectory optimization with waypoint and no-fly zone constraints using multiphase convex programming. Acta Astronaut. 137, 60–69 (2017)
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
Zhou, X., He, R., Xie, L., Zhang, H., Tang, G., Bao, W. (2022). A Solution Method of Guidance Commands via Low-Pass Filter for Convex Trajectory Planning Problem. 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_373
Download citation
DOI: https://doi.org/10.1007/978-981-15-8155-7_373
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)