Optimal continuous torque attitude maneuvers
Abstract
A non-singular formulation of the necessary conditions for optimal large angle rotational maneuvers is presented. The formulation is for the case of a rigid asymmetric vehicle having a control system capable of generating a continuous torque history; it is valid for an arbitrary specification of terminal orientation and angular velocity states. Analytical solutions of the two-point-boundary-value problem are extracted for single axis maneuvers, and a relaxation process is proposed for reliable numerical solutions for arbitrary boundary conditions. The validity of the necessary condition formulation is supported by analytical solutions for special cases; the relaxation process for general boundary conditions is illustrated by numerical examples
- Publication:
-
AIAA, Astrodynamics Conference
- Pub Date:
- August 1978
- Bibcode:
- 1978aiaa.confR....J
- Keywords:
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- Attitude Control;
- Control Simulation;
- Satellite Rotation;
- Spacecraft Maneuvers;
- Torque;
- Trajectory Control;
- Algorithms;
- Analysis (Mathematics);
- Angular Velocity;
- Axes Of Rotation;
- Equations Of Motion;
- Kinematics;
- Moments Of Inertia;
- Optimal Control;
- Astrodynamics