Rocket landing guidance based on second-order Picard-Chebyshev-Newton type algorithm
This paper proposes a rocket substage vertical landing guidance method based on the second-order Picard-Chebyshev-Newton type algorithm. Firstly, the continuous-time dynamic equation is discretized based on the natural second-order Picard iteration formulation and the Chebyshev polynomial. Secondly,...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | zho |
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EDP Sciences
2024-02-01
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| Series: | Xibei Gongye Daxue Xuebao |
| Subjects: | |
| Online Access: | https://www.jnwpu.org/articles/jnwpu/full_html/2024/01/jnwpu2024421p98/jnwpu2024421p98.html |
| _version_ | 1797221509763170304 |
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| author | TANG Jingyuan GOU Yongjie MA Yangyang PAN Binfeng |
| author_facet | TANG Jingyuan GOU Yongjie MA Yangyang PAN Binfeng |
| author_sort | TANG Jingyuan |
| collection | DOAJ |
| description | This paper proposes a rocket substage vertical landing guidance method based on the second-order Picard-Chebyshev-Newton type algorithm. Firstly, the continuous-time dynamic equation is discretized based on the natural second-order Picard iteration formulation and the Chebyshev polynomial. Secondly, the landing problem that considers terminal constraints is transformed into a nonlinear least-squares problem with respect to the terminal constraint function and solved with the Gauss-Newton method. In addition, the projection method is introduced to the iteration process of the Gauss-Newton method to realize the inequality constraints of the thrust. Finally, the closed-loop strategy for rocket substage vertical landing guidance is proposed and the numerical simulations of the rocket vertical landing stage are carried out. The simulation results demonstrate that compared with the sequential convex optimization algorithm, the proposed algorithm has higher computational efficiency. |
| first_indexed | 2024-04-24T13:06:34Z |
| format | Article |
| id | doaj.art-af66448c18dc4efca54a5b57349559a7 |
| institution | Directory Open Access Journal |
| issn | 1000-2758 2609-7125 |
| language | zho |
| last_indexed | 2024-04-24T13:06:34Z |
| publishDate | 2024-02-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | Xibei Gongye Daxue Xuebao |
| spelling | doaj.art-af66448c18dc4efca54a5b57349559a72024-04-05T07:31:28ZzhoEDP SciencesXibei Gongye Daxue Xuebao1000-27582609-71252024-02-014219810710.1051/jnwpu/20244210098jnwpu2024421p98Rocket landing guidance based on second-order Picard-Chebyshev-Newton type algorithmTANG Jingyuan0GOU Yongjie1MA Yangyang2PAN Binfeng3School of Astronautics, Northwestern Polytechnical UniversityShanghai Institute of Aerospace System EngineeringSchool of Astronautics, Northwestern Polytechnical UniversitySchool of Astronautics, Northwestern Polytechnical UniversityThis paper proposes a rocket substage vertical landing guidance method based on the second-order Picard-Chebyshev-Newton type algorithm. Firstly, the continuous-time dynamic equation is discretized based on the natural second-order Picard iteration formulation and the Chebyshev polynomial. Secondly, the landing problem that considers terminal constraints is transformed into a nonlinear least-squares problem with respect to the terminal constraint function and solved with the Gauss-Newton method. In addition, the projection method is introduced to the iteration process of the Gauss-Newton method to realize the inequality constraints of the thrust. Finally, the closed-loop strategy for rocket substage vertical landing guidance is proposed and the numerical simulations of the rocket vertical landing stage are carried out. The simulation results demonstrate that compared with the sequential convex optimization algorithm, the proposed algorithm has higher computational efficiency.https://www.jnwpu.org/articles/jnwpu/full_html/2024/01/jnwpu2024421p98/jnwpu2024421p98.html火箭垂直着陆皮卡迭代高斯-牛顿法 |
| spellingShingle | TANG Jingyuan GOU Yongjie MA Yangyang PAN Binfeng Rocket landing guidance based on second-order Picard-Chebyshev-Newton type algorithm Xibei Gongye Daxue Xuebao 火箭垂直着陆 皮卡迭代 高斯-牛顿法 |
| title | Rocket landing guidance based on second-order Picard-Chebyshev-Newton type algorithm |
| title_full | Rocket landing guidance based on second-order Picard-Chebyshev-Newton type algorithm |
| title_fullStr | Rocket landing guidance based on second-order Picard-Chebyshev-Newton type algorithm |
| title_full_unstemmed | Rocket landing guidance based on second-order Picard-Chebyshev-Newton type algorithm |
| title_short | Rocket landing guidance based on second-order Picard-Chebyshev-Newton type algorithm |
| title_sort | rocket landing guidance based on second order picard chebyshev newton type algorithm |
| topic | 火箭垂直着陆 皮卡迭代 高斯-牛顿法 |
| url | https://www.jnwpu.org/articles/jnwpu/full_html/2024/01/jnwpu2024421p98/jnwpu2024421p98.html |
| work_keys_str_mv | AT tangjingyuan rocketlandingguidancebasedonsecondorderpicardchebyshevnewtontypealgorithm AT gouyongjie rocketlandingguidancebasedonsecondorderpicardchebyshevnewtontypealgorithm AT mayangyang rocketlandingguidancebasedonsecondorderpicardchebyshevnewtontypealgorithm AT panbinfeng rocketlandingguidancebasedonsecondorderpicardchebyshevnewtontypealgorithm |