Abstract
The application and the performance of the neighboring optimal feedback scheme presented in Part 1 of this paper is demonstrated for the heating-constrained cross-range maximization problem of a space-shuttle-orbiter-type vehicle. This problem contains five state variables, two control variables, and a state variable inequality constraint of order zero.
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References
Bulirsch, R.,Die Mehrzielmethode zur numerischen Lösung von nichtlinearen Randwertproblemen und Aufgaben der optimalen Steuerung, DLR, Oberpfaffenhofen, Report of the Carl-Cranz Gesellschaft, 1971.
Stoer, J., andBulirsch, R.,Introduction to Numberical Analysis, Springer, New York, New York, 1980.
Deuflhard, P.,A Modified Newton Method for the Solution of Ill-Conditioned Systems of Nonlinear Equations with Applications to Multiple Shooting, Numerische Mathematik, Vol. 22, pp. 289–315, 1974.
Deuflhard, P.,A Relaxation Strategy for the Modified Newton Method, Optimization and Optimal Control, Edited by R. Bulirsch, W. Oettli, and J. Stoer, Springer, Berlin, Germany, 1975.
Dickmanns, E. D.,Maximum Range Three-Dimensional Lifting Planetary Entry, Marshall Space Flight Center, Technical Report No. RM-199, 1972.
Pesch, H. J.,Numerische Berechnung optimaler Steuerungen mit Hilfe der Mehrzielmethode dokumentiert am Problem der Rückführung eines Raumgleiters unter Berücksichtigung von Aufheizungsbegrenzungen, University of Cologne, Diploma Thesis, 1973.
Dickmanns, E. D., andPesch, H. J.,Influence of a Reradiative Heating Constraint on Lifting Entry Trajectories for Maximum Lateral Range, Proceedings of the 11th International Symposium on Space Technology and Science, Tokyo, Japan, pp. 241–246, 1975.
Deuflhard, P., Pesch, H. J., andRentrop, P.,A Modified Continuation Method for the Numerical Solution of Nonlinear Two-Point Boundary-Value Problems by Shooting Techniques, Numerische Mathematik, Vol. 26, pp. 327–343, 1976.
Pesch, H. J.,Neighboring Optimum Guidance of a Space-Shuttle-Orbiter-Type Vehicle, Journal of Guidance and Control, Vol. 3, pp. 386–391, 1980.
Krämer-Eis, P.,Ein Mehrzielverfahren zur numerischen Berechnung optimaler Feedback-Steuerungen bei beschränkten nichtlinearen Steuerungsproblemen, University of Bonn, Doctoral Dissertation, 1985.
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Communicated by D. G. Hull
This research was supported in part by the Deutsche Forschungsgemeinschaft under the Schwerpunktprogramm “Anwendungsbezogene Optimierung und Steuerung.”
The authors wish to express their sincere and grateful appreciation to Professor Roland Bulirsch who encouraged this work.
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Kugelmann, B., Pesch, H.J. New general guidance method in constrained optimal control, part 2: Application to space shuttle guidance. J Optim Theory Appl 67, 437–446 (1990). https://doi.org/10.1007/BF00939643
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DOI: https://doi.org/10.1007/BF00939643