Title page for ETD etd-11142012-040313


Type of Document Master's Thesis
Author Thompson, Roger Clifton
URN etd-11142012-040313
Title A perturbation approach to control of rotational/translational maneuvers of flexible space vehicles
Degree Master of Science
Department Engineering Mechanics
Advisory Committee
Advisor Name Title
Junkins, John L. Committee Chair
Hendricks, Scott L. Committee Member
Kraige, Luther Glenn Committee Member
Keywords
  • Perturbation (Mathematics)
Date of Defense 1985-04-05
Availability restricted
Abstract
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 maneuvers.

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