 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| M. V. Levskii, "Optimal spacecraft terminal attitude control synthesis by the quaternion method," Mech. Solids. 44 (2), 169-183 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
2 |
Pages |
169-183 |
| DOI |
10.3103/S0025654409020022 |
| Title |
Optimal spacecraft terminal attitude control synthesis by the quaternion method |
| 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 |
We consider an optimal control problem of spacecraft retargeting from an arbitrary initial position to a given terminal angular position. The objective is to minimize a path functional. Using the quaternion method, we obtain an analytic solution of this problem and present formalized equations and computational expressions for synthesizing an optimal manoeuvre program. We also present an example and the results of mathematical simulation of the spacecraft motion dynamics under an optimal control, which demonstrate the practical implementability of the control method developed in the present paper. |
| References |
| 1. | V. N. Branets and I. P. Shmyglevskii, Application of Quaternions to Rigid Body Orientation Problems (Nauka, Moscow, 1973) [in Russian]. |
| 2. | K. B. Alekseev, Extensive Control of Spacecraft Attitude (Mashinostroenie, Moscow, 1977) [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. | M. V. Levskii, "A Method of Control of the Spacecraft Manoeuvre," RF Patent No. 2 093 433 (20 October 1997), Bulletin "Inventions. Applications for Inventions and Patents", No. 29 (1997). |
| 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. A. Krasovskii (Editor), Reference Book in Automatic Control Theory (Nauka, Moscow, 1987) [in Russian]. |
| 11. | M. V. Levskii, "Facility for Determining the Regular Precession Parameters (Versions)," RF Patent No. 2 153 446 (27 July 2000), MKI7 B 64 G 1/24, G 06 G 7/122, Bulletin "Inventions. Applications for Inventions and Patents", No. 21 (2000). |
|
| Received |
29 August 2006 |
| Link to Fulltext |
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