Large-scale direct optimal control applied to a re-entry problem

Journal of Guidance, Control, and Dynamics

Volumn 21, Issue 6, 1998, Pages 996-1000

  Bonnans, J Frédéric ^a   Launay, G ^a,b  

^a INRIA ROCQUENCOURT   (France)

^b UNIVERSITÉ DE BOURGOGNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL THEORY; MATHEMATICAL PROGRAMMING; NUMERICAL ANALYSIS; PROBLEM SOLVING; REENTRY; SPACE SHUTTLES;

QUADRATIC PROGRAMMING;

OPTIMAL CONTROL SYSTEMS;

EID: 0032207022     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/2.4337     Document Type: Article

References (18)

1. Stoer, J., and Burlirsch, R., Introduction to Numerical Analysis, Springer-Verlag, New York, 1980, Chap. 7.
2. Pesch, H. J., "Off-Line and On-Line Computation of Optimal Trajectories in the Aerospace Field," 12th Course in Applied Mathematics in the Aerospace Field, Erice, France, 1991.
3. Betts, J. T., "Survey of Numerical Methods to Trajectory Optimization," Journal of Guidance, Control, and Dynamics, Vol. 21, 1998, pp. 193-207.
4. Kraft, D., "Finite-Difference Gradients Versus Error-Quadrature Gradients in the Solution of Parameterized Optimal Control Problems," Optimal Control, Applications and Methods, Vol. 2, 1981, pp. 191-199.
5. Gill, P. E., Murray, W., and Wright, M., Practical Optimization, Academic, New York, 1982.
6. Betts, J. T., and Huffman, W. P., "The Application of Sparse Nonlinear Programming to Trajectory Optimization," Journal of Guidance, Control, and Dynamics, Vol. 15, 1992, pp. 198-206.
7. Betts, J. T., and Huffman, W. P., "Path-Constrained Trajectory Optimization Using Sparse Sequential Quadratic Programming," Journal of Guidance, Control, and Dynamics, Vol. 16, 1993, pp. 59-68.
8. Bryson, A. F., and Ho, Y. C., Applied Optimal Control, Hemisphere, Washington, DC, 1987.
9. Bonnans, J. F., "Local Analysis of Newton Type Methods for Variational Inequalities and Nonlinear Programming," Applied Mathematics and Optimization, Vol. 29, 1994, pp. 161-186.
10. Bonnans, J. F., Gilbert, J. Ch., Lemaréchal, C., and Sagastizábal, C., Optimisation Numérique : Aspects Théoriques et Pratiques, Vol. 27, Series Mathématiques et Applications, Springer-Verlag, Paris, 1997, Chap. 3.
11. Mitter, S. K., "Successive Approximation Methods for the Solution of Optimal Control Problems," Automatica, Vol. 3, 1966, pp. 135-149.
12. Blanchon, G., Bonnans, J. F., and Dodu, J. C., "Application d'une Méthode de Programmation Quadratique Successive à l'Optimisation des Puissances dans les Réseaux Électriques de Grande Taille," Bulletin de la Direction Etudes et Recherches, Ser. C. EDF, No. 2, 1991, pp. 67-101.
13. Murtagh, B. A., and Saunders, M. A., "A Projected Lagrangian Algorithm and Its Implementation for Sparse Nonlinear Programming Bases," Mathematical Programming Study, Vol. 16, 1982, pp. 84-117.
14. Shanno, D. F., and Marsten, R. E., "Conjugate Gradient Methods for Linearly Constrained Nonlinear Programming," Mathematical Programming Study, Vol. 16, 1982, pp. 149-161.
15. Hiriart-Urruty, J. B., and Lemarechal, C., Convex Analysis and Minimization Algorithms, Springer-Verlag, Berlin, 1993, Chap. 6.
16. Reid, J. K., "A Sparsity Exploiting Variant of the Bartels-Golub Decomposition for Linear Programming Bases," Mathematical Programming, Vol. 24, 1982, pp. 55-69.
17. Lestienne, T., and Samuel, S., "Optimisation Locale de la Trajectoire de Descente d'un Planeur Spatial," Mémoire de Majeure, Ecole Polytechnique, Palaiseau, France, March 1995.
18. Poisson, J. H., and Salas y Melia, D., "Optimisation de la Phase Finale de Descente d'un Planeur Spatial," Mémoire de Majeure, Ecole Polytechnique, Palaiseau, France, March 1994.