Geometric optimal control and transfer between elliptic Keplerian orbits

2004 ◽  
Author(s):  
B. Bonnard
Keyword(s):  
Optimal Control ◽  
Keplerian Orbits ◽  
Geometric Optimal Control

scholarly journals Geometric optimal control of elliptic Keplerian orbits

2005 ◽  
Vol 5 (4) ◽  
pp. 929-956 ◽  
Author(s):  
B. Bonnard ◽  
◽  
J.-B. Caillau ◽  
E. Trélat ◽  
◽  
...  
Keyword(s):  
Optimal Control ◽  
Keplerian Orbits ◽  
Geometric Optimal Control

scholarly journals Computational Geometric Optimal Control of Rigid Bodies

2008 ◽  
Vol 8 (4) ◽  
pp. 445-472 ◽  
Author(s):  
Taeyoung Lee ◽  
Melvin Leok ◽  
N. Harris McClamroch
Keyword(s):  
Optimal Control ◽  
Rigid Bodies ◽  
Geometric Optimal Control

On the application of geometric optimal control theory to Nuclear Magnetic Resonance

2013 ◽  
Vol 3 (4) ◽  
pp. 375-396 ◽  
Author(s):  
Elie Assémat ◽  
◽  
Marc Lapert ◽  
Dominique Sugny ◽  
Steffen J. Glaser ◽  
...  
Keyword(s):  
Optimal Control ◽  
Nuclear Magnetic Resonance ◽  
Magnetic Resonance ◽  
Control Theory ◽  
Optimal Control Theory ◽  
Geometric Optimal Control ◽  
Nuclear Magnetic

scholarly journals OPTIMAL CONTROL OF THE ATMOSPHERIC ARC OF A SPACE SHUTTLE AND NUMERICAL SIMULATIONS WITH MULTIPLE-SHOOTING METHOD

2005 ◽  
Vol 15 (01) ◽  
pp. 109-140 ◽  
Author(s):  
B. BONNARD ◽  
L. FAUBOURG ◽  
E. TRELAT
Keyword(s):  
Optimal Control ◽  
Shooting Method ◽  
Space Shuttle ◽  
Dynamic Pressure ◽  
Thermal Flux ◽  
Optimal Solution ◽  
Multiple Shooting ◽  
The Maximum Principle ◽  
Multiple Shooting Method ◽  
Geometric Optimal Control

This article, continuation of previous works,5,3 presents the applications of geometric optimal control theory to the analysis of the Earth re-entry problem for a space shuttle where the control is the angle of bank, the cost is the total amount of thermal flux, and the system is subject to state constraints on the thermal flux, the normal acceleration and the dynamic pressure. Our analysis is based on the evaluation of the reachable set using the maximum principle and direct computations with the boundary conditions according to the CNES research project. The optimal solution is approximated by a concatenation of bang and boundary arcs, and is numerically computed with a multiple-shooting method.

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