 | | 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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| I. A. Mukhametzyanov, "On the invariance conditions and qualitative stabilization of the reference orientation of a pursuing body," Mech. Solids. 38 (4), 15-20 (2003) |
| Year |
2003 |
Volume |
38 |
Number |
4 |
Pages |
15-20 |
| Title |
On the invariance conditions and qualitative stabilization of the reference orientation of a pursuing body |
| Author(s) |
I. A. Mukhametzyanov (Moscow) |
| Abstract |
Continuous and bang-bang control algorithms are constructed to provide the asymptotic stability "in large" for a desired orientation of the pursuing body with an optimal transient behavior. In addition, an algorithm is proposed for constructing the vector of distribution of random disturbances among the control channels such that the prescribed program manifold and the stabilization quality of this manifold are invariant to these disturbances. |
| References |
| 1. | I. A. Mukhametzyanov, "Control of a pursuer body," Avtomatika i Telemekhanika
[Automatics and Remote Control], No. 11, pp. 5-12, 1974. |
| 2. | I. A. Mukhametzyanov, "On the utilization of a family of Lyapunov functions, PMM [Applied Mathematics and Mechanics], Vol. 64, No. 5,
pp. 869-880, 2000. |
| 3. | I. A. Mukhametzyanov, "Construction of equations of reference motions," Avtomatika i Telemekhanika
[Automatics and Remote Control], No. 10, pp. 16-23, 1972. |
| 4. | V. V. Rumyantsev, "On the optimal stabilization of controlled systems,"
PMM [Applied Mathematics and Mechanics], Vol. 34, No. 3,
pp. 440-456, 1970. |
| 5. | N. N. Krasovskii, "Stabilization problems for controlled motions," in I. G. Malkin, Theory of Stability of Motion [in Russian], Appendix 4, pp. 475-514, Nauka, Moscow, 1966. |
| 6. | A. S. Andreev and S. P. Bezglasnyi, "On the stabilization
of controlled systems with a guaranteed estimate of the control performance,"
PMM [Applied Mathematics and Mechanics], Vol. 61, No. 1,
pp. 44-51, 1997. |
| 7. | E. S. Pyatnitskii, "The concept of decomposition in control of mechanical systems,"
Doklady AN SSSR, Vol. 300, No. 2, pp. 300-303, 1988. |
|
| Received |
05 November 2002 |
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