Magnetic Attitude Control System and Magnetorquers Design for a CubeSat 3U

Authors

  • Luis Angel Fernández Department of Space Science and Technology, Instituto Nacional de Astrofísica, Optica y Electrónica (INAOE). https://orcid.org/0000-0003-1464-7772
  • Gustavo Mendoza Torres Department of Electronics, Benemérita Universidad Autónoma de Puebla (BUAP). https://orcid.org/0000-0003-3084-4469
  • Eduardo Mendoza Torres Department of Space Science and Technology, Instituto Nacional de Astrofísica, Optica y Electrónica (INAOE).
  • Ponciano Rodríguez Montero Department of Space Science and Technology, Instituto Nacional de Astrofísica, Optica y Electrónica (INAOE).

Abstract

A magnetic attitude control model to do three-axis stabilization for a Cube Sat 3U for nadir pointing based on the lineal quadratic regulator theory, has been development in this paper. The mathematical model described in the background, involved the gravity gradient and modelled magnetic torque, which involve only remnant magnetic moments because the actuators are air core magnetorquers whose design was optimize using the Lagrange Multipliers. The magnetorquers cannot torque about the local magnetic field direction but if the spacecraft’s orbit is inclined, the direction of the magnetic field vector moves along the orbit and the resulting system is completely controllable and roughly periodic, because this, the Floquet theory can be used. The simulations based in both linear time invariant and linear time varying system. The results prove that the close loop system resulting is stable and the pointing error is less than two degrees before second orbit only for the linear time invariant system. The controller cannot counteract the varying disturbance torques.

How to cite this article:
Ramos LF, Torres GM, Torres EM et al. Magnetic Attitude Control System and Magnetorquers Design for a CubeSat 3U. J Adv Res Aero Space Sci 2021; 8(3&4): 10-16.

References

Mohammad A, Chang I, Sang. Magnetic torque attitude control of a satellite. International Journal of Non-Lineal Mechanics 2011; 758-771.

Cal P. CubeSat design specification, Rev 13. The CubeSat program. 2014.

Curtis H. Orbital mechanics for engineering students. Elsevier, 2014.

Francois M, Parimal KP, Mark P et al. Active magnetic control system for gravity gradient stabilized spacecraft. Conference on Small Satellites. Utah: AIAA/USU, 1998.

Makovec L, Kristin. A nonlinear magnetic controller for three-axis stability of nanosatellites (Master Thesis). Virginia: Faculty of the Virginia Polytechnic Institute and State University, 2001.

Lavretsky, Eugene, Kevin A. Robust and adaptive control with aerospace aplications. London: Springer, 2013.

Navabi M, Barati M. Mathematical modeling and simulation of the earth’s magnetic field: A comparative study of the models on the spacecraft attitude control application. Elsevier, 2017.

Mark, Psiaki L. Magnetic Torquer attitude control via asymptotic periodic linear quadratic regulation. Journal of Guidance, Control and Dynamics 2001.

NASA, National Aeronautics and Space Administration. Spacecraft magnetic torques. NASA Space Vehicle Design Criteria (Guidance and Control), 1969.

Ogata, Katsuhiko. Ingeniería de control moderna. Madrid: Pearson Educación, 2010.

Psiaki L, Mark. Magnetic Torquer attitude control via asymptotic periodic linear quadratic regulation. Journal of Guidance, Control and Dynamics 2001.

Marcel S. Spacecraft dynamics and control: A practical engineering approach. Cambridge: Cambridge University Press, 1997.

Wertz, James. Spacecraft attitude determination and control. Kluwer Academic Publishers, 1990.

Wisniewski R. Satellite attitude control using only electromagnetic actuation. Ph.D Thesis, Department of Control Engineering, Aalborg University, 1996.

Yang Y. Controllability of spacecraft using only magnetic torques. IEEE Trans, Aerospace, Electronic System. 2016; 954-961.

Zhiquiang Z. Spacecraft attitude tracking and maneuver using combined magnetic actuators. AIAA Guidance, Navigation and Control, 2010.

Published

2022-02-24