Title:
Nonlinear Spacecraft Formation Flying Using Constrained Differential Dynamic Programming

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Sasaki, Tomohiro
Ho, Koki
Lightsey, E. Glenn
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Abstract
The advancement of spacecraft guidance, navigation, and control (GNC) technology is essential for future space systems. This paper contributes to the GNC area by solving nonlinear unconstrained/constrained multi-spacecraft optimal control problems using an existing technique of dynamic programming, differential dynamic programming (DDP). DDP is a trajectory optimization methodology that iteratively finds a local optimal control policy around nominal state and control sequences. This method is extensively getting attention in Robotics and Aerospace and is extended to a constrained problem in a recent decade. The constrained DDP (CDDP) has proven its optimality and displayed satisfactory numerical performance. This paper utilizes this algorithm and simulated spacecraft formation flying by the Julia Language. Benefiting from the fast computing language, successful CDDP spacecraft formation flying simulation results are shown in this paper without using any numerical optimization solvers.
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2022-08
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