Efficient Convex Optimization of Reentry Trajectory via the Chebyshev Pseudospectral Method
A novel sequential convex (SCvx) optimization scheme via the Chebyshev pseudospectral method is proposed for efficiently solving the hypersonic reentry trajectory optimization problem which is highly constrained by heat flux, dynamic pressure, normal load, and multiple no-fly zones. The Chebyshev-Ga...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | International Journal of Aerospace Engineering |
| Online Access: | http://dx.doi.org/10.1155/2019/1414279 |
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| _version_ | 1832563729161519104 |
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| author | Chun-Mei Yu Dang-Jun Zhao Ye Yang |
| author_facet | Chun-Mei Yu Dang-Jun Zhao Ye Yang |
| author_sort | Chun-Mei Yu |
| collection | DOAJ |
| description | A novel sequential convex (SCvx) optimization scheme via the Chebyshev pseudospectral method is proposed for efficiently solving the hypersonic reentry trajectory optimization problem which is highly constrained by heat flux, dynamic pressure, normal load, and multiple no-fly zones. The Chebyshev-Gauss Legend (CGL) node points are used to transcribe the original dynamic constraint into algebraic equality constraint; therefore, a nonlinear programming (NLP) problem is concave and time-consuming to be solved. The iterative linearization and convexification techniques are proposed to convert the concave constraints into convex constraints; therefore, a sequential convex programming problem can be efficiently solved by convex algorithms. Numerical results and a comparison study reveal that the proposed method is efficient and effective to solve the problem of reentry trajectory optimization with multiple constraints. |
| format | Article |
| id | doaj-art-bcf99cf236e34331929603d17fa5bb70 |
| institution | Kabale University |
| issn | 1687-5966 1687-5974 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Aerospace Engineering |
| spelling | doaj-art-bcf99cf236e34331929603d17fa5bb702025-02-03T01:12:51ZengWileyInternational Journal of Aerospace Engineering1687-59661687-59742019-01-01201910.1155/2019/14142791414279Efficient Convex Optimization of Reentry Trajectory via the Chebyshev Pseudospectral MethodChun-Mei Yu0Dang-Jun Zhao1Ye Yang2College of Aerospace and Material Engineering, National University of Defense Technology, Changsha 100854, ChinaSchool of Aeronautics and Astronautics, Central South University, Changsha 410083, ChinaBeijing Aerospace Automatic Control Institute, Beijing 100854, ChinaA novel sequential convex (SCvx) optimization scheme via the Chebyshev pseudospectral method is proposed for efficiently solving the hypersonic reentry trajectory optimization problem which is highly constrained by heat flux, dynamic pressure, normal load, and multiple no-fly zones. The Chebyshev-Gauss Legend (CGL) node points are used to transcribe the original dynamic constraint into algebraic equality constraint; therefore, a nonlinear programming (NLP) problem is concave and time-consuming to be solved. The iterative linearization and convexification techniques are proposed to convert the concave constraints into convex constraints; therefore, a sequential convex programming problem can be efficiently solved by convex algorithms. Numerical results and a comparison study reveal that the proposed method is efficient and effective to solve the problem of reentry trajectory optimization with multiple constraints.http://dx.doi.org/10.1155/2019/1414279 |
| spellingShingle | Chun-Mei Yu Dang-Jun Zhao Ye Yang Efficient Convex Optimization of Reentry Trajectory via the Chebyshev Pseudospectral Method International Journal of Aerospace Engineering |
| title | Efficient Convex Optimization of Reentry Trajectory via the Chebyshev Pseudospectral Method |
| title_full | Efficient Convex Optimization of Reentry Trajectory via the Chebyshev Pseudospectral Method |
| title_fullStr | Efficient Convex Optimization of Reentry Trajectory via the Chebyshev Pseudospectral Method |
| title_full_unstemmed | Efficient Convex Optimization of Reentry Trajectory via the Chebyshev Pseudospectral Method |
| title_short | Efficient Convex Optimization of Reentry Trajectory via the Chebyshev Pseudospectral Method |
| title_sort | efficient convex optimization of reentry trajectory via the chebyshev pseudospectral method |
| url | http://dx.doi.org/10.1155/2019/1414279 |
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