This paper addresses the time-optimal roto-translational orbital rendezvous maneuver for an inertially asymmetric rigid spacecraft in an all-thrusters configuration. To begin with, the target and chaser relative rotational and translational dynamics are driven. Then, in the presence of torque and force constraints, the simultaneously time-optimal attitude and position control problem is numerically solved using the pseudo-spectral method. The costates are then computed to establish the first-order optimality of the obtained solutions, which is confirmed by satisfying Pontryagin's minimum principle. It is demonstrated via simulation that the obtained control forces and moments are basically “bang-bang,” which is the most natural and convenient form for on–off thrusters.
Spacecraft Coupled Roto-translational Time-Optimal Control for Rendezvous Missions
J Astronaut Sci
2023-07-13
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Time-optimal control , Rotational and translational dynamics , Orbital rendezvous problem , Pseudo-spectral method , “Bang-bang” control Engineering , Aerospace Technology and Astronautics , Mathematical Applications in the Physical Sciences , Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)
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