 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 44, Issue 4 / 2009 | Next article >> |
| M. V. Levskii, "Use of the Energy Integral in Optimal Control of the Spacecraft Spatial Attitude," Mech. Solids. 44 (4), 502-513 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
4 |
Pages |
502-513 |
| DOI |
10.3103/S0025654409040025 |
| Title |
Use of the Energy Integral in Optimal Control of the Spacecraft Spatial Attitude |
| Author(s) |
M. V. Levskii (Space System Research and Development Institute, Khrunichev State Research and Production Space Center, Tikhonravova 27, Yubileynii, Moscow oblast, 141091 Russia, niiks@khrunichev.com) |
| Abstract |
In this paper, we study the problem of spacecraft optimal rotation into the position with given attitude. The rotation takes a fixed time. The control program is optimized by minimizing the energy integral. We present the analytic solution of this problem and obtain formalized equations and computational expressions for constructing the optimal rotation program. We also present an example and the results of mathematical simulation of the spacecraft motion dynamics under optimal control, which demonstrate the practical realizability of our method for the spacecraft
spatial attitude control. |
| Keywords |
spacecraft, attitude, quaternion, maximum principle, regular precession, control function, angular velocity, optimality criterion |
| References |
| 1. | V. N. Branets and I. P. Shmyglevskii,
Application of Quaternions to Rigid Body Attitude Problems
(Nauka, Moscow, 1973)
[in Russian]. |
| 2. | K. B. Alekseev and G. G. Bebenin,
Spacecraft Control
(Mashinostroenie, Moscow, 1974)
[in Russian]. |
| 3. | N. E. Zubov,
"Optimal Control of the Spacecraft Terminal
Retargeting on the Basis of the Predictive Model Algorithm,"
Kosmich. Issled.
29 (3), 340-351 (1991)
[Cosmic Res. (Engl. Transl.)]. |
| 4. | A. A. Krasovskii,
Systems of Flight Automatic Control and Their Analytic Design
(Nauka, Moscow, 1973)
[in Russian]. |
| 5. | B. V. Raushenbakh and E. N. Tokar',
Control of Spacecraft Attitude
(Nauka, Moscow, 1974)
[in Russian]. |
| 6. | Yu. N. Chelnokov,
"Space Vehicle Attitude Control Based on the Use of Quaternions,"
Kosmich. Issled. 32 (3), 21-32 (1994)
[Cosmic Res. (Engl. Transl.)]. |
| 7. | A. I. Van'kov,
"Spacecraft Angular Motion Adaptive Robust Control Based on the Use of Predictive Models,"
Kosmich. Issled. 32 (4-5), 13-21 (1994)
[Cosmic Res. (Engl. Transl.)]. |
| 8. | A. Krasovskii (Editor),
Reference Book in Automatic Control Theory
(Nauka, Moscow, 1987)
[in Russian]. |
| 9. | L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko,
The Mathematical Theory of Optimal Processes
(Wiley-Interscience, New York, 1962; Nauka, Moscow, 1983). |
| 10. | A. P. Markeev,
Theoretical Mechanics
(Nauka, Moscow, 1990)
[in Russian]. |
| 11. | M. V. Levskii,
"System for Determining Parameters of a Rigid Body Regular Precession,"
RF Patent No. 2 103 736 (27 January 1998), MKI6 G 06 G 7/122, Bulletin
"Inventions. Applications for Inventions and Patents".
No. 3 (1998). |
|
| Received |
22 February 2007 |
| Link to Fulltext |
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