Attitude determination and stabilization of a spherically symmetric rigid body in a magnetic field

International Journal of Control

Volumn 74, Issue 4, 2001, Pages 341-347

  Smirnov, Georgi V ^a  

^a UNIVERSITY OF PORTO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CONTROL SYSTEM ANALYSIS; MAGNETIC FIELD EFFECTS; MAGNETIC MOMENTS; MATHEMATICAL MODELS; VECTORS;

GEOMAGNETIC FIELDS;

SYSTEM STABILITY;

EID: 0035836299     PISSN: 00207179     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207170010010560     Document Type: Article

References (22)

1. Aeyels, D., 1985, Stabilization by smooth feedback of the angular velocity of a rigid body. Systems and Control Letters, 5, 59-63.
2. Aeyels, D., and Szafranski, M., 1988, Comments on the stabilization of the angular velocity of a rigid body. Systems and Control Letters, 10, 35-39.
3. Arnold, V.I., 1989, Mathematical Methods of Classical Mechanics, 2nd edn (New York: Springer-Verlag).
4. Bacciotti, A., 1992, Local Stabilizability of Nonlinear Control Systems (Singapore: World Scientific).
5. Bloch, A.M., Kirshnprasad, P.S., Marsden, J.E., and Sánchez de Alvaras, G., 1992, Stabilization of rigid body dynamics by internal and external torques. Automatica, 28, 745-756.
6. Brockett, R.W., 1983, Asymptotic stability and feedback stabilization. In R.W. Brockett, R.S. Millmann and H. J. Sussmann (Eds) Differential Geometric Control Theory (Berlin: Birkhäuser), pp. 181-191.
7. Burkov, I.V., 1993, Stabilization of rigid body by using only position measurements. Proceedings of the 2nd European Control Conference, Groningen University, Groningen, pp. 2019-2024.
8. Burkov, I.V., 1995, Asymptotic stabilization of the position of a rigid body with fixed point without velocity measurements. Systems and Control Letters, 14, 205-209.
9. Bylov, B.F., Vinograd, P.E., Grobman, D.M., and Nemytskii, V.V., 1966, Theory of Lyapunov Exponents (Moscow: Nauka), in Russian.
10. Byrnes, C.I., and Isidori, A., 1991, On the attitude stabilization of rigid spacecraft. Automatica, 27, 87-95.
11. Canudas de Wit, C., Åström, K.J., and Fixot, N., 1990, Computer torque control via non-linear observer. International Journal of Adaptive Control and Signal Process, 4, 443-452.
12. Crouch, P.E., 1984, Spacecraft attitude control and stabilization: applications of geometric control theory to rigid models. IEEE Transactions on Automatic Control, 29, 321-331.
13. Chobotov, V.A., 1991, Spacecraft Attitude Dynamics and Control (Malba: Krieger Publishing Co.).
14. Nicosia, S., and Tomei, P., 1990, Robot control by using only joint position measurements. IEEE Transactions on Automatic Control, 35, 1058-1061.
15. Lee, E.B., and Markus, L., 1967, Foundations of Optimal Control Theory (New York: Wiley).
16. Ovchinnikov, M.Y., and Smirnov, G.V. 1994, Stabilization of a satellite at a gravitational orientation mode by magnetic coils. Preprint N 111, Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Russia.
17. Salcudean, S., 1991, A globally convergent angular velocity observer for rigid body motion. IEEE Transactions on Automatic Control, 36, 1493-1497.
18. Wen, J.T.-Y., and Kreutz-Delgado, K., 1991, The attitude control problem. IEEE Transactions on Automatic Control, 36, 1148 1162.
19. Sontag, E.D., and Sussmann, H.J., 1989, Further comments on the stabilization of the angular velocity of a rigid body. Systems and Control Letters, 12, 213-217.
20. Wertz, J.R. (Ed.), 1980, Spacecraft Attitude Determination and Control (Dordrecht: D. Reidel Publishing Co.).
21. Zajak, E.E., 1962, Some simple solutions relating to magnetic attitude control of satellites. Proceedings of the 4th US National Congress on Applied Mechanics, Berkeley, California, June 18-21, Vol. 1, pp. 449-456.
22. Zhao, R., and Posbergh, T.A., 1994, Feedback stabilization of uniform rigid body rotation. Systems and Control Letters, 22, 39-45.