Robust optimal onboard reentry guidance of a space shuttle: Dynamic game approach and guidance synthesis via neural networks

Journal of Optimization Theory and Applications

Volumn 107, Issue 3, 2000, Pages 481-503

  Breitner, M H ^a  

^a CLAUSTHAL UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

AIR NAVIGATION; OPTIMIZATION;

DYNAMIC GAME; GAME APPROACH; NEURAL-NETWORKS; RE-ENTRY GUIDANCE;

SPACE SHUTTLES;

EID: 0034561683     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026439030213     Document Type: Article

References (37)

1. WINDHORST, R., ARDEMA, M. D., and BOWLES, J. V., Minimum Heating Entry Trajectories for Reusable Launch Vehicles, Journal of Spacecraft and Rockets, Vol. 35, pp. 672-682, 1998.
2. BRADT, J., LANGEHOUGH, M., and ROBERT, R., Autonomous Guidance and Control for a Low L/D Crew Return Vehicle, AIAA Paper 91-2819, 1991.
3. CHOU, H. C., ARDEMA, M., and BOWLES, J., Near-Optimal Entry Trajectories for Reusable Launch Vehicles, Journal of Guidance, Control, and Dynamics, Vol. 21, pp. 983-990, 1998.
4. JÄNSCH, C., and MARKL, A., Trajectory Optimization and Guidance for a Hermes-Type Reentry Vehicle, AIAA Paper 91-2659, 1991.
5. BREITNER, M. H., and VON STRYK, O., Reentry Optimization of a European Space Shuttle, Proceedings of the 8th Conference of the European Consortium for Mathematics in Industry (ECMI 94), Universität Kaiserslautern, Kaiserslautern, Germany, pp. 222-224, 1994.
6. PATANKAR, S. V., Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, DC, 1980.
7. HARTUNG, L. C., and THROCKMORTON, D. A., Space Shuttle Reentry Heating Data Book: Volume 1, STS-2; Volume 2, STS-3; Volume 3, STS-5; NASA Reference Publications 1191, 1192, 1193, NASA Langley Research Center, Hampton, Virginia, 1988.
8. HARTUNG, L. C., and THROCKMORTON, D. A., Space Shuttle Reentry Heating Data Book: Volume 1, STS-2; Volume 2, STS-3; Volume 3, STS-5; NASA Reference Publications 1191, 1192, 1193, NASA Langley Research Center, Hampton, Virginia, 1988.
9. HARTUNG, L. C., and THROCKMORTON, D. A., Space Shuttle Reentry Heating Data Book: Volume 1, STS-2; Volume 2, STS-3; Volume 3, STS-5; NASA Reference Publications 1191, 1192, 1193, NASA Langley Research Center, Hampton, Virginia, 1988.
10. HARTUNG, L. C., and THROCKMORTON, D. A., Space Shuttle Reentry Heating Data Book: Volume 1, STS-2; Volume 2, STS-3; Volume 3, STS-5; NASA Reference Publications 1191, 1192, 1193, NASA Langley Research Center, Hampton, Virginia, 1988.
11. BREITNER, M. H., Robust Optimal Onboard Reentry Guidance of a European Space Shuttle: Dynamic Game Approach and Guidance Synthesis with Neural Networks, Deutsche Forschungsgemeinschaft, Schwerpunktprogramm "Echtzeit-Optimierung großer Systeme", Report 99-4, Clausthal-Zellerfeld, Germany, 1999; see http://www.zib.de/dfg-echtzeit/Publikationen/index.html.
12. BREITNER, M. H., Robust Optimal Feedback Controls: Dynamic Game Approach, Numerical Solution, and Real-Time Approximation, Extended PhD Thesis, VDI-Verlag, Düsseldorf, Germany, 1996 (in German).
13. BREITNER, M. H., Construction of the Optimal Feedback Controller for Constrained Optimal Control Problems with Unknown Disturbances, Computational Optimal Control, Edited by R. Bulirsch and D. Kraft, International Series of Numerical Mathematics, Birkhäuser, Basel, Switzerland, Vol. 115, pp. 147-162, 1994.
14. BREITNER, M. H., Real-Time Capable Approximation of Optimal Strategies in Complex Differential Games, Proceedings of the 6th International Symposium on Dynamic Games and Applications, St. Jovite, Québec, Edited by M. Breton and G. Zaccour, Ecole des HEC, Montreal, Quebéc, Canada, 1994.
15. BREITNER, M. H., and HEIM, A., Robust Optimal Control of a Reentering Space Shuttle, Jahrbuch der Deutschen Gesellschaft für Luft- und Raumfahrt, Lilienthal-Oberth e.V., Bonn, Germany, Vol. 2, pp. 583-592, 1995.
16. BREITNER, M. H., and PESCH, H. J., Reentry Trajectory Optimization under Atmospheric Uncertainty as a Differential Game, Annals of the International Society of Dynamic Games, Vol. 1, pp. 70-86, 1994.
17. ISAACS, R. P., Differential Games, I: Introduction; II: Definition and Formulation; III: Basic Principles of the Solution Process; IV: Mainly Examples; Research Memoranda RM-1391, RM-1399, RM-1411, RM-1486, The RAND Corporation, Santa Monica, California, 1954-55.
18. ISAACS, R. P., Differential Games: A Mathematical Theory with Applications to Warfare and Pursuit, Control, and Optimization, 4th Edition, Dover Publications, New York, NY, 1999.
19. BLAQUIÈRE, A., GERARD, F., and LEITMANN, G., Quantitative and Qualitative Games, Academic Press, New York, NY, 1969.
20. BAŞAR, T., and OLSDER, G. J., Dynamic Noncooperative Game Theory, 2nd Edition, Academic Press, London, England, 1995.
21. BREITNER, M. H., Synthesis of Robust Optimal Controls with SYNAPSE Neuro-computers, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 79, Supplement 2, pp. S337-S338, 1999.
22. ASCHER, U. M., MATTHEIJ, R. M. M., and RUSSELL, R. D., Numerical Solution of Boundary-Value Problems for Ordinary Differential Equations, Unabridged, Corrected Reprinting, SIAM Classics in Applied Mathematics, Philadelphia, Pennsylvania, Vol. 13, 1995.
23. AZIZ, A. K., Editor, Numerical Solutions of Boundary-Value Problems for Ordinary Differential Equations, Academic Press, New York, NY, 1975.
24. STOER, J., and BULIRSCH, R., Introduction to Numerical Analysis, Springer, New York, NY, 1993.
25. SIEMENS AG, BREITNER, M. H., and PESCH, H. J., A Collision Avoidance Method for a Car against Another Car Based on Neural Networks, German Patent No. 19534942, Deutsches Patentamt, München, Germany, 1998.
26. VON STRYK, O., Numerical Optimal Control: Discretization, Nonlinear Optimization, and Computation of Adjoint Variables, PhD Thesis, VDI-Verlag, Düsseldorf, Germany, 1994 (in German).
27. VON STRYK, O., Numerical Solution of Optimal Control Problems by Direct Collocation, Optimal Control, Calculus of Variations, Optimal Control Theory, and Numerical Methods, Edited by R. Bulirsch, A. Miele, J. Stoer, and K. H. Well, International Series of Numerical Mathematics, Birkhäuser, Basel, Switzerland, Vol. 111, pp. 129-143, 1993.
28. GILL, P. E., MURRAY, W., and WRIGHT, M. H., Practical Optimization, 12th Printing, Academic Press, London, England, 1999.
29. FLETCHER, R., Practical Methods of Optimization, 2nd Edition, Reprinting, John Wiley and Sons, New York, NY, 1999.
30. DEUFLHARD, P., and APOSTOLESCU, V., An Underrelaxed Gauss-Newton Method for Equality Constrained Nonlinear Least Squares Problems, Optimization Techniques, Part 2, Edited by J. Stoer, Lecture Notes in Control and Information Sciences, Springer, Berlin, Germany, Vol. 7, pp. 22-32, 1978.
31. HOHMANN, A., Inexact Gauss-Newton Methods for Parameter-Dependent Nonlinear Problems, PhD Thesis, Shaker, Aachen, Germany, 1994.
32. NOWAK, U., and WEIMANN, L., A Family of Newton Codes for Systems of Highly Nonlinear Equations: Algorithm, Implementation, Application, Technical Report TR 91-10, Konrad-Zuse-Zentrum für Informationstechnik Berlin, Berlin, Germany, 1991.
33. GRIEWANK, A., Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation, SIAM, Philadelphia, Pennsylvania, 2000.
34. DONGARRA, J. J., Numerical Linear Algebra on High-Performance Computers (Software, Environments, Tools), SIAM, Philadelphia, Pennsylvania, 1998.
35. BREITNER, M. H., Heuristic Option Pricing with Neural Networks and the Neuro-Computer SYNAPSE 3, Optimization, Vol. 47, pp. 319-333, 2000.
36. BREITNER, M. H., and BARTELSEN, S., Training of Large Three-Layer Perceptrons with the Neurocomputer SYNAPSE, Operations Research '98, Edited by P. Kall and H. J. Lüthi, Springer, Berlin, Germany, pp. 562-570, 1999.
37. MEDIA INTERFACE, SYNAPSE 3 User Manual and Installation Guide; SynUse Base 3.1 Programming Manual, Reference Sheets, and Performance Report, Media Interface GmbH, Dresden, Germany, 1998.