Optimal Midcourse Guidance Algorithm for Exoatmospheric Interception Using Analytical Gradients
This paper is aimed at providing a semianalytical method to solve the optimal exoatmospheric interception problem with the minimum fuel consumption. A nonlinear programming (NLP) problem with the minimum velocity increment, which involves Lambert’s problem with unspecified time-of-flight, is firstly...
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| Main Authors: | , , , |
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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/10.1155/2019/8502870 |
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| _version_ | 1849304399588884480 |
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| author | Wenhao Du Wanchun Chen Liang Yang Hao Zhou |
| author_facet | Wenhao Du Wanchun Chen Liang Yang Hao Zhou |
| author_sort | Wenhao Du |
| collection | DOAJ |
| description | This paper is aimed at providing a semianalytical method to solve the optimal exoatmospheric interception problem with the minimum fuel consumption. A nonlinear programming (NLP) problem with the minimum velocity increment, which involves Lambert’s problem with unspecified time-of-flight, is firstly formulated. Then, a set of Karush-Kuhn-Tucker conditions and the Jacobian matrix corresponding to those conditions are derived in an analytical manner, even though the derivatives are mathematically complicated and computationally onerous. Therefore, the Newton-Raphson method can be used to efficiently solve this problem. To further decrease computational cost, a near-optimal initialization method reducing the dimension of the search space is presented to provide a better initial guess. The performance of the proposed method is assessed by numerical experiments and comparison with other methods. The results show that this method is not only of high computational efficiency and accuracy but also applicable to onboard guidance. |
| format | Article |
| id | doaj-art-12eacd760f614112ab7b22926367b08f |
| 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-12eacd760f614112ab7b22926367b08f2025-08-20T03:55:44ZengWileyInternational Journal of Aerospace Engineering1687-59661687-59742019-01-01201910.1155/2019/85028708502870Optimal Midcourse Guidance Algorithm for Exoatmospheric Interception Using Analytical GradientsWenhao Du0Wanchun Chen1Liang Yang2Hao Zhou3School of Astronautics, Beihang University, Xueyuan Road No. 37, Haidian District, Beijing, ChinaSchool of Astronautics, Beihang University, Xueyuan Road No. 37, Haidian District, Beijing, ChinaSchool of Astronautics, Beihang University, Xueyuan Road No. 37, Haidian District, Beijing, ChinaSchool of Astronautics, Beihang University, Xueyuan Road No. 37, Haidian District, Beijing, ChinaThis paper is aimed at providing a semianalytical method to solve the optimal exoatmospheric interception problem with the minimum fuel consumption. A nonlinear programming (NLP) problem with the minimum velocity increment, which involves Lambert’s problem with unspecified time-of-flight, is firstly formulated. Then, a set of Karush-Kuhn-Tucker conditions and the Jacobian matrix corresponding to those conditions are derived in an analytical manner, even though the derivatives are mathematically complicated and computationally onerous. Therefore, the Newton-Raphson method can be used to efficiently solve this problem. To further decrease computational cost, a near-optimal initialization method reducing the dimension of the search space is presented to provide a better initial guess. The performance of the proposed method is assessed by numerical experiments and comparison with other methods. The results show that this method is not only of high computational efficiency and accuracy but also applicable to onboard guidance.http://dx.doi.org/10.1155/2019/8502870 |
| spellingShingle | Wenhao Du Wanchun Chen Liang Yang Hao Zhou Optimal Midcourse Guidance Algorithm for Exoatmospheric Interception Using Analytical Gradients International Journal of Aerospace Engineering |
| title | Optimal Midcourse Guidance Algorithm for Exoatmospheric Interception Using Analytical Gradients |
| title_full | Optimal Midcourse Guidance Algorithm for Exoatmospheric Interception Using Analytical Gradients |
| title_fullStr | Optimal Midcourse Guidance Algorithm for Exoatmospheric Interception Using Analytical Gradients |
| title_full_unstemmed | Optimal Midcourse Guidance Algorithm for Exoatmospheric Interception Using Analytical Gradients |
| title_short | Optimal Midcourse Guidance Algorithm for Exoatmospheric Interception Using Analytical Gradients |
| title_sort | optimal midcourse guidance algorithm for exoatmospheric interception using analytical gradients |
| url | http://dx.doi.org/10.1155/2019/8502870 |
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