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Spacecraft Rate Damping with Predictive Control Using Magnetic Actuators Only

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Nonlinear Model Predictive Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 384))

Abstract

A nonlinear model predictive control (NMPC) approach for rate damping control of a low Earth orbit satellite in the initial acquisition phase is proposed. The only available actuators are magnetic coils which impose control torques on the satellite in interaction with the Earth’s magnetic field. In the initial acquisition phase large rotations and high angular rates, and therefore strong nonlinearities must be dealt with. The proposed NMPC method, which is shown to guarantee closed-loop stability, efficiently reduces the kinetic energy of the satellite while satisfying the constraints on the magnetic actuators. Furthermore, due to the prediction of future trajectories, the negative effect of the well-known controllability restriction in magnetic spacecraft control is minimized. It is shown via a simulation example that the obtained closed-loop performance is improved when compared to a classical P-controller.

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References

  1. Camacho, E.F., Bordons, C.: Nonlinear model predictive control: An introductory review. In: Findeisen, R., Allgöwer, F., Biegler, L.T. (eds.) Assessment and Future Directions of Nonlinear Model Predictive Control, pp. 1–16. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  2. Findeisen, R., Imsland, L., Allgöwer, F., Foss, B.: State and output feedback nonlinear model predictive control: An overview. European Journal of Control 9, 190–206 (2003)

    Article  Google Scholar 

  3. Fontes, F.A.: A general framework to design stabilizing nonlinear model predictive controllers. System and Control Letters 42(2), 127–142 (2000)

    Article  MathSciNet  Google Scholar 

  4. Franke, R., Arnold, E., Linke, H.: HQP: A solver for nonlinearly constrained large-scale optimization, http://hqp.sourceforge.net

  5. Hegrenæs, Ø., Gravdahl, J.T., Tøndel, P.: Spacecraft attitude control using explicit model predictive control. Automatica 41(12), 2107–2114 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  6. Lovera, M., Astolfi, A.: Global magnetic attitude control of spacecraft in the presence of gravity gradient. IEEE Transactions on Aerospace and Electronic Systems 42(3), 796–895 (2006)

    Article  Google Scholar 

  7. Psiaki, M.L.: Magnetic torquer attitude control via asymptotic periodic linear quadratic regulation. Journal of Guidance, Control, and Dynamics 24(2), 386–394 (2001)

    Article  Google Scholar 

  8. Silani, E., Lovera, M.: Magnetic spacecraft attitude control: a survey and some new results. Control Engineering Practice 13(3), 357–371 (2005)

    Article  Google Scholar 

  9. Simon, L.L., Nagy, Z.K., Hungerbuehler, K.: Swelling constrained control of an industrial batch reactor using a dedicated NMPC environment: OptCon. In: Proceedings of the International Workshop on Assessment and Future Directions of Nonlinear Model Predictive Control, Pavia, Italy (2008)

    Google Scholar 

  10. Wang, P., Shtessel, Y.: Satellite attitude control via magnetorquers using switching control laws. In: Proceedings of the 14th IFAC world congress, Beijing, China (1999)

    Google Scholar 

  11. Wertz, J.R.: Spacecraft Attitude Determination and Control. Kluwer Academic Pub., Dordrecht (1978)

    Google Scholar 

  12. Wisniewski, R.: Satellite Attitude Control Using Only Electromagnetic Actuation. PhD thesis, Department of Control Engineering, Aalborg University (1996)

    Google Scholar 

  13. Wisniewski, R.: Linear time-varying approach to satellite attitude control using only electromagnetic actuation. Journal of Guidance, Control, and Dynamics 23(4), 640–647 (2000)

    Article  MathSciNet  Google Scholar 

  14. Wisniewski, R., Blanke, M.: Fully magnetic attitude control for spacecraft subject to gravity gradient. Automatica 35(7), 1201–1214 (1999)

    Article  MATH  Google Scholar 

  15. Wood, M., Chen, W.-H.: Regulation of magnetically actuated satellites using model predictive control with disturbance modelling. In: IEEE International Conference on Networking, Sensing and Control, ICNSC, Sanya, China, pp. 692–697 (2008)

    Google Scholar 

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© 2009 Springer-Verlag Berlin Heidelberg

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Böhm, C., Merk, M., Fichter, W., Allgöwer, F. (2009). Spacecraft Rate Damping with Predictive Control Using Magnetic Actuators Only. In: Magni, L., Raimondo, D.M., Allgöwer, F. (eds) Nonlinear Model Predictive Control. Lecture Notes in Control and Information Sciences, vol 384. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01094-1_41

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  • DOI: https://doi.org/10.1007/978-3-642-01094-1_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01093-4

  • Online ISBN: 978-3-642-01094-1

  • eBook Packages: EngineeringEngineering (R0)

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