Optimal Control of Spinning Axisymmetric Spacecraft: A Pseudospectral Approach
Ross, I. Michael
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Shen and Tsiotras considered the case where the ax symmetric rigid body was subject to only two control torques which spanned the plane perpendicular to the axis of symmetry. They used a cascaded computational scheme which involved both direct and indirect methods of optimization. Additionally, their method required initial costate guesses which further complicated numerical results. They concluded that two torques were sufficient to achieve a time-optimal maneuver. In this work the Legendre Pseudospectral method will be used to solve the two-torque problem with only a two-point guess to demonstrate the method's superiority. Additionally, it will be demonstrated that while reorientation of the spin axis is possible with two control torques spanning the plane perpendicular to the spin axis, the addition of a third control torque about the axis of symmetry further reduces the objective function. It will be shown that this new solution has significantly different characteristics form the previously published work.
The article of record as published may be located at http://dx.doi.org/10.2514/6.2008-7164Approved for public display, distribution unlimitedAIAA Guidance, Navigation and Control Conference and Exhibit Paper no. AIAA-2008-7164, Honolulu, Hawaii, 2008
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