Title :
Control and stabilization of a rotating planar body with flexible attachments
Author :
Zuyev, Alexander L.
Author_Institution :
Inst. of Appl. Math. & Mech., Nat. Acad. of Sci., Donetsk, Ukraine
Abstract :
A control system describing rotation of rigid body with an arbitrary number of elastic beams is considered. We characterize the approximate controllability property in terms of the eigenvalues of the associated homogeneous beam equation. It is proved that boundary controllability of the whole infinite dimensional dynamics is possible if there is no response in the system. Under this assumption we construct a feedback law that strongly stabilizes the equilibrium.
Keywords :
controllability; eigenvalues and eigenfunctions; feedback; multidimensional systems; rotating bodies; stability; boundary controllability; eigenvalues; flexible attachments; homogeneous beam equation; infinite dimensional dynamics; rotating planar body control; rotating planar body stabilization; Control systems; Controllability; Eigenvalues and eigenfunctions; Equations; Heating; Manipulator dynamics; Mathematics; Physics; Temperature control; Torque;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1237105
