Title :
Controlled Lagrangians and stabilization of discrete spacecraft with rotor
Author :
Yuanyuan Peng ; Huynh, S. ; Zenkov, D.V. ; Bloch, Anthony M.
Author_Institution :
Dept. of Math., Claflin Univ., Orangeburg, SC, USA
Abstract :
The method of controlled Lagrangians for discrete mechanical systems is extended to the problem of stabilization of the rotations of a spacecraft with a symmetric rotor. In particular, stabilization about its intermediate axis of inertia is considered. The Moser-Veselov discretization is used to obtain the discrete dynamics of the system. Stabilization conditions for the continuous model and its discretization are compared. It is shown that stability of the discrete system is sufficient for stability of its continuous counterpart but not vice versa.
Keywords :
rotors; space vehicles; Moser-Veselov discretization; controlled Lagrangians; discrete dynamics; discrete spacecraft stabilization; discrete system; spacecraft rotations; stabilization conditions; stabilization problem; symmetric rotor; Equations; Mathematical model; Numerical stability; Rotors; Space vehicles; Stability analysis; USA Councils;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426701