Une approche géométrique du contrôle optimal de l'arc atmosphérique de la navette spatiale
Bernard Bonnard; Emmanuel Trélat
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- Volume: 7, page 179-222
- ISSN: 1292-8119
Access Full Article
topAbstract
topHow to cite
topReferences
top- H. Baumann et H.J. Oberle, Numerical computation of optimal trajectories for coplanar aeroassisted orbital transfer. J. Optim. Theory Appl.107 (2000) 457-479.
- O. Bolza, Calculus of variations. Chelsea (1973).
- F. Bonnans et G. Launay, Large scale direct optimal control applied to the re-entry problem. J. Guidance, Control and Dynamics 21 (1998) 996-1000.
- B. Bonnard et G. Launay, Time minimal control of batch reactors. ESAIM: COCV3 (1998) 407-467.
- B. Bonnard et I. Kupka, Théorie des singularités de l'application entrée/sortie et optimalité des singulières. Forum Math.5 (1993) 111-159.
- A. Bryson et Y.C. Ho, Applied optimal control. Hemisphere Pub. Corporation (1975).
- J.B. Caillau et J. Noailles, Coplanar control of a satellite around the Earth. ESAIM: COCV6 (2001) 239-258.
- CNES, Mécanique spatiale. Cepadues Eds. (1993).
- J.M. Coron et L. Praly, Guidage en rentrée atmosphérique, Rapport 415. CNES (2000).
- I. Ekeland, Discontinuité des champs de vecteurs extrémaux en calcul des variations. Publ. Math. IHES47 (1977) 5-32.
- A.D. Ioffe et V.M. Tikhomirov, Theory of extremal problems. North Holland (1979).
- P.H. Jacobsonet al., New necessary conditions of optimality for control problems with state-variable inequality constraints. J. Math. Anal.35 (1971) 255-284.
- A.J. Krener et H. Schättler, The structure of small time reachable sets in small dimensions. SIAM J. Control Optim.27 (1989) 120-147.
- I. Kupka, Geometric theory of extremals in optimal control problems. Trans. Amer. Math. Soc.299 (1987) 225-243.
- H. Maurer, On optimal control problems with bounded state variables and control appearing linearly. SIAM J. Control Optim.15 (1977) 345-362.
- A. Miele, Recent advances in the optimization and guidance of aeroassisted orbital transfers. Acta Astronautica38 (1996) 747-768.
- H.J. Pesch, A practical guide to the solution of real-life optimal control problems. Control Cybernet. 23 (1994).
- V. Pontryagin et al., Méthodes mathématiques des processus optimaux. Eds. Mir (1974).
- H. Schättler, The local structure of time-optimal trajectories in dimension 3 under generic conditions. SIAM J. Control Optim.26 (1988) 899-918.
- H.J. Sussmann, The structure of time-optimal trajectories for single-input systems in the plane: The non singular case. SIAM J. Control Optim.25 (1987) 856-905.