Stabilization and Observation of Attitude Control Systems for Micro Satellites

In this paper, we are interested in attitude control of a satellite, which using wheels of reaction, by state feedback. First, we develop a method allowing us to put the control and its integral in the state-feedback form. Then, by using the theorem of Gronwall- Bellman, we put the sufficient conditions so that the nonlinear system modeling the satellite is stabilisable and observed by state feedback.





References:
[1] Desoer C. A., Vidyasagar M., Feedback systems: Input - Output
Properties, Academic Press New York 1975.
[2] N.Elalami, « A generalisation of Gronwall-s lemma »,2ème conférence
internationale sur les équations différentielles, faculté des sciences
Marrakech, Juin 1995
[3] N.Elalami, A.Echchatbi, A.Bouaziz; « Observation et Stabilisation
Robust des systèmes Bilinéaires Incertains » CIFA 2002 ,Conférence
Internationale Francophone d-Automatique, Nantes, 8-10 juillet 2002.
[4] P.C. Hughes (1986). Spacecraft Attitude Dynamics. John Wiley & sons,
USA, New York.
[5] K.L. Musser and W .L . Elbert (1986). Autonomous spacecraft attitude
control using magnetic torquing only. Proceeding of flight Mechanics
Estimation Theory Symposium, pp. 23-38. NASA.
[6] Schumacher J. M., A direct approach to compensator. Design for
distributed parameters systems, Siam J. Control and optimization, vol.
21, N.6,1983.
[7] M. J. Sidi (1977). Spacecraft Dynamics and control. Cambridge
University Press, Cambridge, UK.
[8] A. Skullestad and J. Gilbert (2000). ∞ H control of gravity gradient
stabilised Satellite. Control Engineering Practice, 8, 975-983.
[9] P. Tsiotras, H. Shen and C. Hall. Satellite attitude control and power
tracking with momentum wheels, AAS, 99-317.
[10] C. Valentin- Charbonnel, G. Duc and S. Le Ballois (1999). Low-order
robust attitude control of an earth observation satellile. Control
Engineering Practice, 7, 493-506.