Title page for ETD etd-11142012-040313
|Type of Document
||Thompson, Roger Clifton
||A perturbation approach to control of rotational/translational maneuvers of flexible space vehicles
||Master of Science
|Junkins, John L.
|Hendricks, Scott L.
|Kraige, Luther Glenn
- Perturbation (Mathematics)
|Date of Defense
An open loop control law is applied to a flexible spacecraft that
admits translational, as well as rotational and flexural motion. The
translational degrees of freedom are coupled to the rotation and
deformation through the active controls applied to the structure. The
objective of any maneuver is to control the attitude of the craft as
well as to dissipate any vibrations of the structure.
Depending on the type of maneuver specified, the equations of
motion may be divided into two distinct optimal control problems.
Single—axis rotational maneuvers (with small flexural deformations)
constitute a strictly linear problem. The solution of the resulting two
Q point boundary value problem is accomplished through the use of matrix
exponential functions. Maneuvers which involve the translational
degrees of freedom, are described by nonlinear equations. The solution
method presented is a algorithm that generates successive approximations
similar to quasi—linearization. A perturbed linear optimal control
problem is solved for each approximation. Examples are presented which
illustrate the effectiveness of the solution methods for both types of
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