图书馆订阅: Guest
Begell Digital Portal Begell 数字图书馆 电子图书 期刊 参考文献及会议录 研究收集
自动化与信息科学期刊
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN 打印: 1064-2315
ISSN 在线: 2163-9337

卷:
卷 52, 2020 卷 51, 2019 卷 50, 2018 卷 49, 2017 卷 48, 2016 卷 47, 2015 卷 46, 2014 卷 45, 2013 卷 44, 2012 卷 43, 2011 卷 42, 2010 卷 41, 2009 卷 40, 2008 卷 39, 2007 卷 38, 2006 卷 37, 2005 卷 36, 2004 卷 35, 2003 卷 34, 2002 卷 33, 2001 卷 32, 2000 卷 31, 1999 卷 30, 1998 卷 29, 1997 卷 28, 1996

自动化与信息科学期刊

DOI: 10.1615/JAutomatInfScien.v50.i7.40
pages 35-47

Investigation of the Influence of Control Forces on the Stability of a Satellite with a Gravitational Stabilizer by Means of Computer Algebra

Andrey V. Banshchikov
V.M. Matrosov Institute of Systems Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, Irkutsk (Russia)

ABSTRACT

The problem of the influence of forces on stability with respect to equilibrium of satellite with a controlled gravitational stabilizer on the circular orbit is researched. In space of the entered parameters the domains with various degrees of instability by Poincare are found. Assuming that the potential system is unstable, the issues of the possibility of its stabilization up to asymptotic stability are considered. The parametric analysis of the obtained inequalities is carried out with the help of Mathematica built-in tools for symbolic-numerical modelling.

REFERENCES

  1. Sarychev V.A., Questions of orientation of artificial satellites, Itogi nauki i tekhniki. Issledovanie kosmicheskogo prostranstva, VINITI, Moscow, 1978, 11, 5–223.

  2. Potapenko E.M., Dynamics of a spacecraft with direct active control of a gravitational stabilizer, Kosmicheskie issledovaniya, 1988, 26, No. 5, 699–708.

  3. Chetaev N.G., Stability of motion. Works on analytical mechanics [in Russian], Izdatelstvo AN SSSR, 1962.

  4. Merkin D.R., Introduction to the theory of motion stability [in Russian], Nauka, Moscow, 1987.

  5. Agafonov S.A., On stability and stabilization of motion of nonconservative mechanical systems, Prikladnaya matematika i mekhanika, 2010, 74, No. 4, 560–566.

  6. Mailybaev A.A., Seyranyan A.P., Influence of nonconservative forces on the stability of systems with multiple frequencies and the paradox of Nikolai, Doklady Akademii Nauk, 2011, 436, No. 2, 188–194.

  7. Aleksandrov A.Yu., Kosov A.A., On the stability of gyroscopic systems, Vestnik SPb. Universiteta, Series 10, 2013, No. 2, 3–13.

  8. Puzyrev V.E., Savchenko N.V., Evaluation of the influence of the damping moment on the stability of uniform rotations of an asymmetric gyroscope, Mekhanika tverdogo tela, 2012, No. 42, 135–142.

  9. Golinko S.I., Slynko V.I., Influence of the structure of forces on the stability of gyroscopic mechanical systems with impulse action, Prikladnaya mekhanika, 2016, 52, No. 3, 105–120.

  10. Banshchikov A.V., Burlakova L.A., Irtegov V.D., Titorenko T.N., Problems of mechanics and computer algebra, Matematicheskie mashiny i sistemy, 2008, No. 4, 82–97.

  11. Banshchikov A.V., Burlakova L.A., Irtegov V.D., Titorenko T.N., Symbolic computations in modeling and qualitative analysis of dynamic systems, Vychislitelnyye tekhnologii, 2014, 19, No. 6, 3–18.

  12. Banshchikov A.V., Burlakova L.A., Irtegov V.D., Titorenko T.N., LinModel software complex for analysis of the dynamics of high-dimensional mechanical systems, Certificate of state registration of the computer program. No 2008610622. FGU FIPS, February.

  13. Banshchikov A.V., Parametric analysis of the stability conditions of a satellite with a gravitational stabilizer, Sovremennyye tekhnologii, Sistemnyi analiz, Modelirovanie, 2010, No. 2 (26), 24–28.

  14. Banshchikov A.V. , On the gyroscopic stabilization of the equilibrium position of a satellite with a gravitational stabilizer, Trudy XI Mezhdunarodnoy Chetayevskoy konferentsii “Analiticheskaya mekhanika, ustoychivost i upravlenie”, Vol. 2, Section 2, Stability.

  15. Banshchikov А.V., On the asymptotic stability of a satellite with a gravitational stabilizer, Lecture Notes in Computer Science, 2017, 10490, 16–26.

  16. Gantmakher F.R., Theory of matrices [in Russian], Nauka, Moscow, 1967.

  17. Banshchikov A.V., Chaikin S.V., Analysis of stability of relative equilibria of an elongated axisymmetric gyrostat by means of symbolic-numerical modeling, Kosmicheskie issledovaniya, 2015, 53, No. 5, 414–420.

  18. Banshchikov A.V., Parametric analysis of the conditions of gyroscopic stabilization of the relative equilibria of an oblate axisymmetric gyrostat, Matematicheskoye modelirovanie, 2016, 28, No. 4, 2006, 33–42.


Articles with similar content:

On Discrete Conflict-Controlled Processes Described by Grunvald-Letnikov Fractional Systems
Journal of Automation and Information Sciences, Vol.47, 2015, issue 1
Vladislav J. Zhukovskiy , Arkadiy A. Chikriy
Calculation of the Characteristics of the Multichannel Queueing System with Pure Losses and Feedback
Journal of Automation and Information Sciences, Vol.47, 2015, issue 5
Khaver Nurmagomed kyzy Kuliyeva , Agasi Zarbali ogly Melikov, Leonid A. Ponomarenko
Mathematical Simulation of Elastic Systems with Unilateral External Interaction
Journal of Automation and Information Sciences, Vol.33, 2001, issue 9
Louisa Toscano, Govanni Matarazzo, Oleg S. Limarchenko, Yuriy A. Mitropolskiy
Artifact-Tolerant Controllers for Automatic Drug Delivery in Anesthesia
Critical Reviews™ in Biomedical Engineering, Vol.28, 2000, issue 1&2
T. Sieber, A. M. Zbinden, Andrea Gentilini, E. Bullinger, Adolf H. Glattfelder, Christian W. Frei
The Synthesis of Stabilizing Control of a Rigid Body with Attached Elastic Elements
Journal of Automation and Information Sciences, Vol.34, 2002, issue 11
Alexander Zuyev, Vladimir F. Shcherbak, Alexander M. Kovalev