Variable-Time-Domain Online Neighboring Optimal Trajectory Modification for Hypersonic Interceptors
The predicted impact point (PIP) of hypersonic interception changes continually; therefore the midcourse guidance law must have the ability of online trajectory optimization. In this paper, an online trajectory generation algorithm is designed based on neighboring optimal control (NOC) theory and im...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | International Journal of Aerospace Engineering |
| Online Access: | http://dx.doi.org/10.1155/2017/9456179 |
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| author | Ningbo Li Humin Lei Jin Zhou Lei Shao Bin Wang |
| author_facet | Ningbo Li Humin Lei Jin Zhou Lei Shao Bin Wang |
| author_sort | Ningbo Li |
| collection | DOAJ |
| description | The predicted impact point (PIP) of hypersonic interception changes continually; therefore the midcourse guidance law must have the ability of online trajectory optimization. In this paper, an online trajectory generation algorithm is designed based on neighboring optimal control (NOC) theory and improved indirect Radau pseudospectral method (IRPM). A trajectory optimization model is designed according to the features of operations in near space. Two-point boundary value problems (TPBVPs) are obtained based on NOC theory. The second-order linear form of transversality conditions is deduced backward to express the modifications of terminal states, costates, and flight time in terms of current state errors and terminal constraints modifications. By treating the current states and the optimal costates modifications as initial constraints and perturbations, the feedback control variables are obtained based on improved IRPM and nominal trajectory information. The simulation results show that when the changes of terminal constraints are not relatively large, this method can generate a modified trajectory effectively with high precision of terminal modifications. The design concept can provide a reference for the design of the online trajectory generation system of hypersonic vehicles. |
| format | Article |
| id | doaj-art-ffdac039ec874cdd933e886075ef39be |
| institution | Kabale University |
| issn | 1687-5966 1687-5974 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Aerospace Engineering |
| spelling | doaj-art-ffdac039ec874cdd933e886075ef39be2025-02-03T05:46:50ZengWileyInternational Journal of Aerospace Engineering1687-59661687-59742017-01-01201710.1155/2017/94561799456179Variable-Time-Domain Online Neighboring Optimal Trajectory Modification for Hypersonic InterceptorsNingbo Li0Humin Lei1Jin Zhou2Lei Shao3Bin Wang4Air and Missile Defence College, Air Force Engineering University, Xi’an 710051, ChinaAir and Missile Defence College, Air Force Engineering University, Xi’an 710051, ChinaAir and Missile Defence College, Air Force Engineering University, Xi’an 710051, ChinaAir and Missile Defence College, Air Force Engineering University, Xi’an 710051, ChinaAir and Missile Defence College, Air Force Engineering University, Xi’an 710051, ChinaThe predicted impact point (PIP) of hypersonic interception changes continually; therefore the midcourse guidance law must have the ability of online trajectory optimization. In this paper, an online trajectory generation algorithm is designed based on neighboring optimal control (NOC) theory and improved indirect Radau pseudospectral method (IRPM). A trajectory optimization model is designed according to the features of operations in near space. Two-point boundary value problems (TPBVPs) are obtained based on NOC theory. The second-order linear form of transversality conditions is deduced backward to express the modifications of terminal states, costates, and flight time in terms of current state errors and terminal constraints modifications. By treating the current states and the optimal costates modifications as initial constraints and perturbations, the feedback control variables are obtained based on improved IRPM and nominal trajectory information. The simulation results show that when the changes of terminal constraints are not relatively large, this method can generate a modified trajectory effectively with high precision of terminal modifications. The design concept can provide a reference for the design of the online trajectory generation system of hypersonic vehicles.http://dx.doi.org/10.1155/2017/9456179 |
| spellingShingle | Ningbo Li Humin Lei Jin Zhou Lei Shao Bin Wang Variable-Time-Domain Online Neighboring Optimal Trajectory Modification for Hypersonic Interceptors International Journal of Aerospace Engineering |
| title | Variable-Time-Domain Online Neighboring Optimal Trajectory Modification for Hypersonic Interceptors |
| title_full | Variable-Time-Domain Online Neighboring Optimal Trajectory Modification for Hypersonic Interceptors |
| title_fullStr | Variable-Time-Domain Online Neighboring Optimal Trajectory Modification for Hypersonic Interceptors |
| title_full_unstemmed | Variable-Time-Domain Online Neighboring Optimal Trajectory Modification for Hypersonic Interceptors |
| title_short | Variable-Time-Domain Online Neighboring Optimal Trajectory Modification for Hypersonic Interceptors |
| title_sort | variable time domain online neighboring optimal trajectory modification for hypersonic interceptors |
| url | http://dx.doi.org/10.1155/2017/9456179 |
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