 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
|
| << Previous article | Volume 51, Issue 2 / 2016 | Next article >> |
| A.V. Molodenkov and Ya.G. Sapunkov, "Analytical Solution of the Optimal Attitude Maneuver Problem with a Combined Objective Functional for a Rigid Body in the Class of Conical Motions," Mech. Solids. 51 (2), 135-147 (2016) |
| Year |
2016 |
Volume |
51 |
Number |
2 |
Pages |
135-147 |
| DOI |
10.3103/S0025654416020011 |
| Title |
Analytical Solution of the Optimal Attitude Maneuver Problem with a Combined Objective Functional for a Rigid Body in the Class of Conical Motions |
| Author(s) |
A.V. Molodenkov (Institute for Precision Mechanics and Control, Russian Academy of Sciences, ul. Rabochaya 24, Saratov, 410028 Russia, molalexei@yandex.ru)
Ya.G. Sapunkov (Institute for Precision Mechanics and Control, Russian Academy of Sciences, ul. Rabochaya 24, Saratov, 410028 Russia) |
| Abstract |
The optimal attitude maneuver control problem without control constraints is studied in the quaternion statement for a rigid body with a spherical mass distribution. The performance criterion is given by a functional combining the time and energy used for the attitude maneuver. A new analytical solution in the class of conical motions is obtained for this problem on the basis of the Pontryagin maximum principle. |
| Keywords |
rigid body, spacecraft, optimal attitude maneuver, conical motion |
| References |
| 1. | V. N. Branets and I. P. Shmyglevskii,
Application of Quaternions in Problems of Orientation of a Rigid Body
(Nauka, Moscow, 1973)
[in Russian]. |
| 2. | S. L. Scrivener and R. C. Thompson,
""Survey of Time-Optimal Attitude Maneuvers,"
J. Guid. Contr. Dynam.
17 (2), 225-233. |
| 3. | Yu. N. Chelnokov,
"Quaternion Solution of Kinematic Problems in Rigid Body Orientation
Control - Equations of Motion, Problem Statement,
Programmed Motion, and Control,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 4, 7-14 (1993)
[Mech. Solids (Engl. Transl.)]. |
| 4. | V. N. Branets, M. B. Chertok, and Yu. V. Kaznacheev, ""Optimal
Attitude Maneuver of a Rigid Body with a Single Symmetry Axis,"
Kosmich. Issledovaniya 22 (3), 352-360 (1984) [Cosmic
Res. (Engl. Transl.)]. |
| 5. | A. N. Sirotin,
"Optimal Control of Retargeting of a Symmetrically Rigid Body
from a Rest Position to a Rest Position,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 1, 36-47 (1989)
[Mech. Solids (Engl. Transl.)]. |
| 6. | A. N. Sirotin,
"Time-Optimal Retargeting of a Rotating Spherically Symmetric Body
with Stopping Its Motion,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 3, 18-27 (1997)
[Mech. Solids (Engl. Transl.)
32 (3), 14-21 (1997)]. |
| 7. | A. V. Molodenkov, "Quaternion Solution of the Optimal Attitude
Maneuver Problem for a Rigid Body with Spherical Distribution of
Mass," in Problems of Mechanics and Control. Collection of
Scientific Papers (PGU, Perm, 1995), pp. 122-131 [in Russian]. |
| 8. | A. V. Molodenkov, "Solution of the Optimal Attitude Maneuver
Problem for a Spherically Symmetric Spacecraft in One Special
Case," in Proc. 6th Intern. Conf. "System Analysis and
Control of Extraterrestrial Complexes", Evpatoriya, Krym (MAI, Moscow, 2001), p. 42 [in Russian]. |
| 9. | A. V. Molodenkov and Ya. G. Sapunkov, "A New Class of Analytical
Solutions in the Optimal Attitude Maneuver Problem for a
Spherically Symmetric Body," Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 2, 16-27 (2012) [Mech. Solids (Engl. Transl.) 47 (2), 167-177 (2012)]. |
| 10. | A. V. Molodenkov and Ya. G. Sapunkov, "Solution of the Optimal
Attitude Maneuver Problem for a Spherically Symmetric Rigid Body
with Arbitrary Boundary Conditions in the Class of Generalized
Conical Motions," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 5,
22-34 (2014) [Mech. Solids (Engl. Transl.) 49 (5),
495-505 (2014)]. |
| 11. | L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze,
and E. F. Mishchenko,
The Mathematical Theory of Optimal Processes
(Fizmatgiz, Moscow, 1961; Gordon & Breach Sci. Publ., New York, 1986). |
| 12. | Yu. N. Chelnokov,
Quaternion and Biquaternion Models and
Methods of Mechanics of Rigid Body
and Their Applications
(Fizmatlit, Moscow, 2006)
[in Russian]. |
| 13. | A. V. Molodenkov,
"On the Solution of the Darboux Problem,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 2, 3-13 (2007)
[Mech. Solids (Engl. Transl.)
42 (2), 167-176 (2007)]. |
| 14. | Ya. G. Sapunkov and A. V. Molodenkov, "The Investigation of
Characteristics of Distant Sounding System of the Earth with the Help of Cosmic Device," "Numerical Solution of the Problem of Optimal Reorientation of a Rotating Spacecraft," Supplement for Mekhatron. Avtomatiz. Upravl.: Avtomatich. Avtomatizir. Upr. Let. App. No. 6, 10-15 (2008). |
|
| Received |
20 January 2014 |
| Link to Fulltext |
|
| << Previous article | Volume 51, Issue 2 / 2016 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English