Skip to main content

Linear Optimal Control for Reentry Flight

  • Chapter
Computational Optimal Control

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 115))

Abstract

We present a linear optimal control law to control an unmanned reentry vehicle to a reference. The control law is locally optimal minimizing a quadratic performance index at discrete points on the reference. Simulation results show that the controller eliminates trajectory errors resulting from off-nominal entry conditions and aerodynamics as well as atmospheric disturbances.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aenishanslin, M. H., “Space Mail Feasibility Study,” Sociétée Nationale Industrielle Aérospatiale, Les Mureaux, France, Columbus Preparatory Programme Report COL-TN-AS-0050, Nov. 1986.

    Google Scholar 

  2. Schöttle, U., et al., “Conceptual Study of a Small Semiballistic Reentry Experiment Vehicle,” 41st Congress of the International Astronautical Federation (Dresden, Germany), IAF-90-163, Oct. 1990.

    Google Scholar 

  3. Mascey, A. C., et al., “The Reusable Reentry Satellite-Keeping it Up and Bringing it Down” Proc. of the 1988 AIAA/AAS Astrodynamics Conf. (Minneapolis, Minn.), AIAA, Washington, Aug. 1988, pp. 310–322. (AIAA 88-4257-CP)

    Google Scholar 

  4. 4Albert, J. C., et al., “Online Guidance and Control of a Spacecraft for an Aeroassisted Orbit Transfer,” Proc. of the 12th IFAC Symp. on Automatic Control in Aerospace (Ottobrunn, Germany), Intl. Federation of Automatic Control, Laxenburg, Austria, Sep. 1992, pp. 147–152.

    Google Scholar 

  5. 5Gamble, J. D., et al., “Atmospheric Guidance Concept for an Aeroassist Flight Experiment,” Journal of the Astronautical Sciences, Vol. 36, Jan.-June 1988, pp. 45–71.

    Google Scholar 

  6. Morth, R., “Reentry Guidance for Apollo,” Proc. of the 2nd IFAC Conf. on Automatic Control in Space (Vienna, Austria), Intl. Federation of Automatic Control, Laxenburg, Austria, Sep. 1967, pp. 735–759.

    Google Scholar 

  7. ACRI and Laboratoire d’Automatique de Nantes, “Guidance and Control for Moderate Lift/Drag Re-Entry,” ESA European Space and Technology Center, Noordwijk, The Netherlands, Contract Report 9359-91-NL-JG, May 1992.

    Google Scholar 

  8. Seyler, T. A., and Florence, D. E., “Upper Atmospheric Disturbance Effects on Reentry Satellite Landing Accuracy,” Proc. of the AIAA/AAS Astrodynamcis Conf., AIAA, Washington, Aug. 1991, pp. 2371–2377. (AAS 91-495)

    Google Scholar 

  9. Wingrove, R. C., “A Survey of Atmosphere Re-Entry Guidance and Control Methods,” AIAA Journal, Vol. 1, Sep. 1963, pp. 2019–2029.

    Article  Google Scholar 

  10. 10Battin, R. H., Astronautical Guidance, McGraw-Hill, New York, 1964.

    Google Scholar 

  11. National Aeronautics and Space Administration, Guidance and Navigation for Entry Vehicles, NASA Space Vehicle Design Criteria, NASA SP-8015, Nov. 1968.

    Google Scholar 

  12. Graves, C. A., and Harpold, J. C., “Apollo Experience Report-Mission Planning for Apollo Entry,” NASA TN D-6725, 1972.

    Google Scholar 

  13. Stiles, J. A., “Predictive Entry Guidance for an Apollo-Type Vehicle,” Proc. of the 3rd IFAC Symp. on Automatic Control in Space, Toulouse, France, Intl. Federation of Automatic Control, Laxenburg, Austria, Mar. 1970, pp. 732–740.

    Google Scholar 

  14. Cramer, E. J., et al., “NLP Re-Entry Guidance: Developing a Strategy for Low L/D Vehicles,” AIAA 88-4123-CP, 1988.

    Google Scholar 

  15. Corban, J. E., et al., “Rapid Near-Optimal Aerospace Plane Trajectory Generation and Guidance,” Journal of Guidance, Control and Dynamics, Vol. 14, No. 6, Nov.-Dec. 1991, pp. 1181–1190.

    Article  MATH  Google Scholar 

  16. Schänzer, G., and Kayser, D., “Precision Navigation-A New Approach for Re-Entry Vehicles,” Proc. of the 12th IFAC Symposiom on Automatic Control in Aerospace (Ottobrunn, Germany), Intl. Federation of Automatic Control, Laxenburg, Austria, Sep. 1992, pp. 105–110.

    Google Scholar 

  17. Roenneke, A. J., and Cornwell, P. J., “Trajectory Control for a Low-Lift Maneuverable Re-Entry Vehicle,” AIAA 92-1146-CP, Feb. 1992.

    Google Scholar 

  18. Roenneke, A. J., and Well, K. H., “Re-Entry Control of a Low-Lift Maneuverable Spacecraft,” Proc. of the 1992 AIAA Guidance, Navigation, and Control Conf. (Hilton Head, S.C.), AIAA, Washington, Aug. 1992, pp. 641–652. (AIAA 92-4455-CP)

    Google Scholar 

  19. Miele, A., Flight Mechanics, Addison-Wesley, Reading, Mass., 1962.

    Google Scholar 

  20. Vinh, N. X., Optimal Trajectories in Atmospheric Flight, Elsevier, New York, 1981.

    Google Scholar 

  21. Bryson, A. E., and Ho, Y., Applied Optimal Control, Hemisphere Publishing, New York, 1975.

    Google Scholar 

  22. Roenneke, A. J., Trajectory Control for a Low-Lift Maneuverable Re-Entry Vehicle Using State Feedback, M.S. Thesis, Rose-Hulman Institute of Technology, Terre Haute, Ind., May 1991.

    Google Scholar 

  23. Anderson, B. D., and Moore, J. B., Optimal Control, Prentice-Hall, Englewood Cliffs, N.J., 1990.

    MATH  Google Scholar 

  24. Gamble, J. D., and Findlay, J. T., “Shuttle-Derived Densities in the Middle Atmosphere,” AIAA 88-4352-CP, 1988.

    Google Scholar 

  25. U.S. National Oceanic and Atmospheric Administration, U.S. Standard Atmosphere 1976, U.S. GPO, Washington, NOAA-S/T 76–1562, 1976.

    Google Scholar 

  26. Crowder, R. S., and Moote, J. D., “Apollo Entry Aerodynamics,” Journal of Spacecraft, Vol. 6, Mar. 1969, pp. 302–307.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Birkhäuser Verlag Basel

About this chapter

Cite this chapter

Roenneke, A.J., Well, K.H. (1994). Linear Optimal Control for Reentry Flight. In: Bulirsch, R., Kraft, D. (eds) Computational Optimal Control. ISNM International Series of Numerical Mathematics, vol 115. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-8497-6_27

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-8497-6_27

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-7643-5015-4

  • Online ISBN: 978-3-0348-8497-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics