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Modelling and Optimal Control of a Docking Maneuver with an Uncontrolled Satellite

Abstract : Capturing disused satellites in orbit and their controlled reentry is the aim of the DEOS space mission. Satellites that ran out of fuel or got damaged pose a threat to working projects in orbit. Additionally, the reentry of such objects endangers the population as the place of impact cannot be controlled anymore. This paper demonstrates the modelling of a rendezvous szenario between a controlled service satellite and an uncontrolled target. The situation is modelled via first order ordinary differental equations where a stable target is considered. In order to prevent a collision of the two spacecrafts and to ensure both satellites are docked at the end of the maneuver, additional state constraints, box contraints for the control and a time dependent rendezvous condition for the final time are added. The problem is formulated as an optimal control problem with Bolza type cost functional and solved using a full discretization approach in AMPL/IpOpt. Last, simulation results for capturing a tumbling satellite are given.
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https://hal.inria.fr/hal-00725005
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Submitted on : Thursday, August 23, 2012 - 3:24:01 PM
Last modification on : Tuesday, February 16, 2021 - 10:10:02 AM

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Johannes Michael, Kurt Chudej, Jürgen Pannek. Modelling and Optimal Control of a Docking Maneuver with an Uncontrolled Satellite. 77th Vienna International Conference on Mathematical Modelling, 2012, Vienna, Austria. pp.1135-1140, ⟨10.3182/20120215-3-AT-3016.00201⟩. ⟨hal-00725005⟩

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