scholarly journals Computational geometric optimal control of connected rigid bodies in a perfect fluid

2010 ◽  
Author(s):  
Taeyoung Lee ◽  
M Leok ◽  
N H McClamroch
Keyword(s):  
Optimal Control ◽  
Perfect Fluid ◽  
Rigid Bodies ◽  
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.

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

The Near-Minimum-Time Control Of Open-Loop Articulated Kinematic Chains

1971 ◽  
Vol 93 (3) ◽  
pp. 164-172 ◽  
Author(s):  
M. E. Kahn ◽  
B. Roth
Keyword(s):  
Optimal Control ◽  
Feedback Control ◽  
Response Times ◽  
Equations Of Motion ◽  
Open Loop ◽  
Rigid Bodies ◽  
Minimum Time ◽  
Suboptimal Control ◽  
Dynamical Equations ◽  
Highly Nonlinear

The time-optimal control of a system of rigid bodies connected in series by single-degree-of-freedom joints is studied. The dynamical equations of the system are highly nonlinear, and a closed-form representation of the minimum-time feedback control is not possible. However, a suboptimal feedback control, which provides a close approximation to the optimal control, is developed. The suboptimal control is expressed in terms of switching curves for each of the system controls. These curves are obtained from the linearized equations of motion for the system. Approximations are made for the effects of gravity loads and angular velocity terms in the nonlinear equations of motion. Digital simulation is used to obtain a comparison of response times of the optimal and suboptimal controls. The speed of response of the suboptimal control is found to compare quite favorably with the response speed of the optimal control.

scholarly journals Dynamics of connected rigid bodies in a perfect fluid

2009 ◽  
Author(s):  
Taeyoung Lee ◽  
Melvin Leok ◽  
N. Harris McClamroch
Keyword(s):  
Perfect Fluid ◽  
Rigid Bodies
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