Talks and Poster Presentations (with Proceedings-Entry):
A. Steindl:
"Stabilization of the radial equilibrium of a tethered satellite with respect to out-of-plane initial perturbations";
Talk: 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM),
Erlangen;
2014-03-10
- 2014-03-14; in: "85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)",
P. Steinmann, G. Leugering (ed.);
PAMM/ WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim,
14/1
(2014),
2 pages.
English abstract:
We investigate the stabilization of the radial equilibrium of a tethered satellite by tension control, if both in-plane and outof-
plane deviations from the vertical position are taken into account. While in-plane perturbations can be eliminated in finite
time, the length rate change of the tether acts as parametric control on the out-of-plane deviations. Therefore the control
becomes less effective, if the perturbation decreases.
In order to improve the convergence we investigate the optimal control problem assuming no costs for the applied tension
force but restricting the control force to a finite interval. For tether cconfigurations close to the vertical target position this
approach yields a solution with singular control, which leads to a faster decay of the deviations.
Keywords:
Tethered satellite system; Hamiltonian Hopf bifurcation; Optimal control; Center manifold
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1002/pamm.201410135
Electronic version of the publication:
http://publik.tuwien.ac.at/files/PubDat_235820.pdf
Created from the Publication Database of the Vienna University of Technology.