ARTICLE
The use of the linear form of dynamical equations of the satellite attitude control system for its analysis and synthesis
| 1 | AALR “Institute of Space Technique and Technology”, Almaty, Kazakhstan |
| 2 | Al-Farabi Kazakh National University, Almaty, Kazakhstan |
CORRESPONDING AUTHOR
Anna Sukhenko
Laboratory of space systems development, Institute of space technique and technology, Kazakhstan
Laboratory of space systems development, Institute of space technique and technology, Kazakhstan
Submission date: 2020-06-04
Final revision date: 2020-08-26
Acceptance date: 2020-09-25
Online publication date: 2020-11-28
Publication date: 2021-01-15
Journal of Theoretical and Applied Mechanics 2021;59(1):109–120
KEYWORDS
TOPICS
ABSTRACT
At present, the methods based on using linearized dynamical equations are applied for syn-
thesis of an attitude control system of a satellite with nonlinear dynamics. Linearized equa-
tions describe the satellite dynamics approximately, which is the main their disadvantage.
This article shows that basing on the angular momentum theorem, the nonlinear dynamical
equations of the satellite attitude control system can be represented in the form of linear
differential equations with variable coefficients, which makes it possible to use engineering
methods of stability analysis and analysis of transient quality in the process of synthesis of
the satellite attitude control system.
REFERENCES (20)
1.
Besekersky V.A., Popov E.P., 1972, Theory of Automatic Control Systems (in Russian), Nauka, Moscow.
2.
Blanke M., Larsen M.B., 2010, Satellite Dynamics and Control in a Quaternion Formulation, 2nd ed., Technical University of Denmark.
3.
Chaurais J.R., Ferreira H.C., Ishihara J.I., Borges R.A., Kulabukhov A.M., Larin V.A., Belikov V.V., 2013, A high precision attitude determination and control system for the UYS-1 nanosatellite, Proceedings of 2013 IEEE Aerospace Conference
4.
Demidovich B.P., 1967, Lectures on the Mathematical Theory of Stability (in Russian), Nauka, Moscow.
5.
Doruk R. Ö., 2009, Linearization in satellite attitude control with modified Rodriguez parameters, Aircraft Engineering And Aerospace Technology, 81, 3, 199-203.
6.
Galvao B.B., Faustino M.C.M., de Souza L.C.G., 2016, Satellite attitude control system design with nonlinear dynamics and kinematics of quaternion using reaction wheels, Proceedings of the XXXVII Iberian Latin-American Congress on Computational Methods in Engineering
7.
Knudsen J.M., Hjorth P.G., 1995, Elements of Newtonian Mechanics, Springer-Verlag, 1st ed.
8.
Markeev A.P., 1999, Theoretical Mechanics: a Textbook for Universities (in Russian), CheRo, Moscow.
9.
Mehrjardi M.F., Sanusi H., Mohd. Alauddin Mohd. Ali, Taher M.A., 2014, PD Controller for three-axis satellite attitude control using discrete Kalman filter, Proceedings of 2014 International Conference on Computer, Communications and Control Technology
10.
Moldabekov M., Akhmedov D., Yelubaev S., Alipbayev K., Sukhenko A., 2017, Optimal synthesis of satellite orientation system’s parameters, Advances in the Astronautical Science, 161, 989-997.
11.
Moldabekov M., Yelubayev S., Alipbayev K., Sukhenko A, Bopeyev T., Mikhailenko D., 2015, Stability analysis of the microsatellite attitude control system, Applied Mechanics and Materials, 798, 297-302.
12.
Narkiewicz J., Sochacki M., Zakrzewski B., 2020, Generic model of a satellite attitude control system, International Journal of Aerospace Engineering, DOI: 10.1155/2020/5352019.
13.
Nasrolahi S.S., Abdollahi F., 2016, Lyapunov stability analysis for non-linear satellite attitude control in the presence of states measurement error, Proceedings of 2016 4th International Conference on Control, Instrumentation and Automation, DOI: 10.1109/ICCIAutom.2016.7483137.
14.
Ocampo C., 2019, Modeling, Simulation, and Control of the Spacecraft Attitude Dynamics, EART University, DOI: 10.13140/RG.2.2.19952.92162.
15.
Psiaki M.L., 2001, Magnetic torquer attitude control via asymptotic periodic linear quadratic regulation, Journal of Guidance Control and Dynamics, DOI: 10.2514/2.4723.
16.
Ran D., Sheng T., Cao L., Chen X., Zhao Y., 2014, Attitude control system design and on-orbit performance analysis of nano-satellite Tian Tuo 1, Chinese Journal of Aeronautics, 27, 3, 593-601.
17.
Rossa F.D., Dercole F., Lovera M., 2013, Attitude stability analysis for an Earth pointing, magnetically controlled spacecraft, IFAC Proceedings Volumes, 46, 19, 518-523.
18.
Sokolov N.I., 1972, Lectures on the Course Theory of Automatic Regulation (in Russian), part 1, MAI, Moscow.
19.
Sokolov N.I., Lipatov A.V., 1970, On the application of “approximate” stability criteria for the synthesis of adaptive systems, Collection “Information materials” (in Russian), Scientific Board on Complex Problem “Cybernetics”, 7, 44, Academy of Science of USSR, Moscow.
20.
Zhou B., 2015, On Stability of the Linearized Spacecraft Attitude Control System, arXiv:1504.00114v1.
