Quasioptimal Spacecraft Attitude Control Constructed According to the Poinsot Concept
The problem of attitude optimal control of a spacecraft as a solid body with the energy spent on maneuvering a spacecraft taken as a quadratic functional, and a fixed transition time, is investigated. The dynamic configuration of a spacecraft and boundary conditions on an attitude and angular veloci...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-04-01
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| Series: | Aerospace |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2226-4310/10/5/402 |
| _version_ | 1797601580641419264 |
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| author | Yakov G. Sapunkov Alexei V. Molodenkov |
| author_facet | Yakov G. Sapunkov Alexei V. Molodenkov |
| author_sort | Yakov G. Sapunkov |
| collection | DOAJ |
| description | The problem of attitude optimal control of a spacecraft as a solid body with the energy spent on maneuvering a spacecraft taken as a quadratic functional, and a fixed transition time, is investigated. The dynamic configuration of a spacecraft and boundary conditions on an attitude and angular velocity are arbitrary; the control function is not limited. According to the Poinsot concept from theoretical mechanics on the interpretation of the angular motion of a solid body around a fixed point and with the help of the Pontryagin maximum principle, the quasioptimal analytical solution of the problem is obtained, which is brought to the algorithm. Numerical examples are provided that confirm the closeness of the quasioptimal solution to the optimal solution of the problem. |
| first_indexed | 2024-03-11T04:02:29Z |
| format | Article |
| id | doaj.art-381986df726946228c4fff7ee6f0fcab |
| institution | Directory Open Access Journal |
| issn | 2226-4310 |
| language | English |
| last_indexed | 2024-03-11T04:02:29Z |
| publishDate | 2023-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Aerospace |
| spelling | doaj.art-381986df726946228c4fff7ee6f0fcab2023-11-17T23:59:42ZengMDPI AGAerospace2226-43102023-04-0110540210.3390/aerospace10050402Quasioptimal Spacecraft Attitude Control Constructed According to the Poinsot ConceptYakov G. Sapunkov0Alexei V. Molodenkov1Institute of Precision Mechanics and Control of Russian Academy of Sciences, 410028 Saratov, RussiaInstitute of Precision Mechanics and Control of Russian Academy of Sciences, 410028 Saratov, RussiaThe problem of attitude optimal control of a spacecraft as a solid body with the energy spent on maneuvering a spacecraft taken as a quadratic functional, and a fixed transition time, is investigated. The dynamic configuration of a spacecraft and boundary conditions on an attitude and angular velocity are arbitrary; the control function is not limited. According to the Poinsot concept from theoretical mechanics on the interpretation of the angular motion of a solid body around a fixed point and with the help of the Pontryagin maximum principle, the quasioptimal analytical solution of the problem is obtained, which is brought to the algorithm. Numerical examples are provided that confirm the closeness of the quasioptimal solution to the optimal solution of the problem.https://www.mdpi.com/2226-4310/10/5/402arbitrary spacecraftsolid bodyarbitrary boundary conditionsoptimal reorientationthe Poinsot conceptquasioptimal algorithm |
| spellingShingle | Yakov G. Sapunkov Alexei V. Molodenkov Quasioptimal Spacecraft Attitude Control Constructed According to the Poinsot Concept Aerospace arbitrary spacecraft solid body arbitrary boundary conditions optimal reorientation the Poinsot concept quasioptimal algorithm |
| title | Quasioptimal Spacecraft Attitude Control Constructed According to the Poinsot Concept |
| title_full | Quasioptimal Spacecraft Attitude Control Constructed According to the Poinsot Concept |
| title_fullStr | Quasioptimal Spacecraft Attitude Control Constructed According to the Poinsot Concept |
| title_full_unstemmed | Quasioptimal Spacecraft Attitude Control Constructed According to the Poinsot Concept |
| title_short | Quasioptimal Spacecraft Attitude Control Constructed According to the Poinsot Concept |
| title_sort | quasioptimal spacecraft attitude control constructed according to the poinsot concept |
| topic | arbitrary spacecraft solid body arbitrary boundary conditions optimal reorientation the Poinsot concept quasioptimal algorithm |
| url | https://www.mdpi.com/2226-4310/10/5/402 |
| work_keys_str_mv | AT yakovgsapunkov quasioptimalspacecraftattitudecontrolconstructedaccordingtothepoinsotconcept AT alexeivmolodenkov quasioptimalspacecraftattitudecontrolconstructedaccordingtothepoinsotconcept |