 | | 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
|
| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 39, Issue 5 / 2004 | Next article >> |
| B. N. Sokolov, "Guaranteed stabilization of the orientation of a satellite by means of on-off jet engines in the case of active disturbances," Mech. Solids. 39 (5), 1-10 (2004) |
| Year |
2004 |
Volume |
39 |
Number |
5 |
Pages |
1-10 |
| Title |
Guaranteed stabilization of the orientation of a satellite by means of on-off jet engines in the case of active disturbances |
| Author(s) |
B. N. Sokolov (Moscow) |
| Abstract |
The attitude stabilization of a dynamically asymmetric satellite with respect to a fixed direction is considered. The center of mass of the satellite moves in an elliptic orbit. We assume that the stabilization is performed by means of on-off jet engines with delayed thrust cut-off and that the external torque acting on the satellite is bounded. Using the game approach [1-3] and decomposition [4, 5], we determine a domain in the state space from which the desired orientation of the satellite can be provided and construct a feedback control that ensures this orientation with maximum possible degree of accuracy. Effective bang-bang control laws that can be utilized for the attitude stabilization of a satellite were considered in [6-8]. Solutions of minmax problems of stabilization by means of bang-bang controllers with delay in the switching loop are given in [9-12]. |
| References |
| 1. | R. Isaacs, Differential Games [Russian translation],
Mir, Moscow, 1967. |
| 2. | A. I. Subbotin and A. G. Chentsov, Guaranteed Optimization in Control Problems [in Russian], Nauka, Moscow, 1981. |
| 3. | N. N. Krasovskii,
Control of a Dynamical System: Minimization of the Guaranteed Result
[in Russian], Nauka, Moscow, 1985. |
| 4. | E. S. Pyatnitskii, "Decomposition principle for control of dynamical systems,"
Doklady AN SSSR, Vol. 300, No. 2, pp. 300-303, 1988. |
| 5. | F. L. Chernousko, "Decomposition and feedback control in dynamical systems,"
Izv. AN SSSR. Tekhnicheskaya Kibernetika, No. 6, pp. 64-82, 1990. |
| 6. | K. B. Alekseev and G. G. Bebenin,
"Control of a Spacecraft,"
Mashinostroenie, Moscow, 1964. |
| 7. | E. V. Gaushus and N. D. Smol'yaninov,
"Investigation of a flying vehicle stabilization relay system," Izv. AN SSSR. MTT [Mechanics of Solids], No. 2, pp. 5-13, 1970. |
| 8. | E. V. Gaushus, Investigation of Dynamical Systems by Point Transformations [in Russian], Nauka, Moscow, 1976. |
| 9. | N. V. Banichuk, I. I. Karpov, D. V. Klimov, et al.,
Mechanics of Large-scale Space Structures
[in Russian], Faktorial, Moscow, 1997. |
| 10. | V. F. Ivanova and B. N. Sokolov,
"Maximal guaranteed accuracy of a bang-bang regulator in a
one-dimensional stabilization problem,"
Izv. AN. MTT [Mechanics of Solids], No. 2, pp. 26-36, 1999. |
| 11. | B. N. Sokolov, "On the structure of a single-channel controller providing a guaranteed accuracy with maximum efficiency," Izv. AN. MTT [Mechanics of Solids], No. 3, pp. 17-33, 2002. |
| 12. | B. N. Sokolov, "A single-channel bang-bang controller for guaranteed stabilization of translational motions of a rigid body with internal degrees of freedom,"
Izv. AN. MTT [Mechanics of Solids], No. 1, pp. 10-16, 2003. |
|
| Received |
24 December 2002 |
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