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Title of Journal: Meccanica

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Abbravation: Meccanica

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Springer Netherlands

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DOI

10.1016/j.amjcard.2009.12.055

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1572-9648

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Optimal control of the deployment and retrieval

Authors: Alois Steindl
Publish Date: 2014/03/20
Volume: 49, Issue: 8, Pages: 1879-1885
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Abstract

The deployment and retrieval processes of satellites from a space station are demanding tasks during the operations of tethered satellite systems The satellite should be steered into its working state within a reasonable amount of time and without too much control efforts For the pure inplane oscillation we have found timeoptimal solutions with bang–bang control strategy for the deployment and retrieval process In our working group we have also investigated different stabilization methods of the vertical equilibrium configuration for example parametric swing control and chaotic control In this article we concentrate on the final stage of the operation when the oscillations around the vertical configuration should be brought to halt While this task is quite simple for a motion of the satellite in the orbital plane it is considerably more difficult if the satellite has been perturbed out of that plane We first analyze the control for a purely outofplane oscillation which is governed by a Hamiltonian Hopf bifurcation and then investigate the combined control for the spatial dynamics Using a center manifold ansatz for the inplane oscillations we can show that it is possible to diminish the oscillations of the tethered satellite in both directions but the decay is extremely slow


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