A Fast Midcourse Trajectory Optimization Method for Interceptors Based on the Bézier Curve
This paper proposes a fast midcourse trajectory optimization method by using the Bézier curve as a transcription scheme to represent the interceptor trajectories. First, the trajectory optimization problem is established with the constraints during midcourse guidance and the performance index of the...
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| Vydané v: | Aerospace Ročník 12; číslo 10; s. 893 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Basel
MDPI AG
01.10.2025
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| Predmet: | |
| ISSN: | 2226-4310, 2226-4310 |
| On-line prístup: | Získať plný text |
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| Shrnutí: | This paper proposes a fast midcourse trajectory optimization method by using the Bézier curve as a transcription scheme to represent the interceptor trajectories. First, the trajectory optimization problem is established with the constraints during midcourse guidance and the performance index of the terminal velocity. Then, the interceptor position coordinates are represented using Bézier functions, which directly satisfy the boundary constraints. Other state and control variables are also expressed as Bézier functions. Finally, the original trajectory optimization problem is transformed into optimizing the Bézier parameters, which can be obtained by sequential quadratic programming. Numerical examples verify the rapidity of the proposed method when compared with various traditional numerical optimization methods. In addition, the result of the proposed method can be used as a fast solution satisfying all the boundary and path constraints, and it can also be used as an initial guess for further optimizations. |
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| Bibliografia: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 2226-4310 2226-4310 |
| DOI: | 10.3390/aerospace12100893 |